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["Description","Worksheet Name","Discussion"]
[]
["Abstract",null,"An analysis is made of the De Raedt et al computer simulation of a Local Realistic (i.e. Local Hidden Variable) model to determine if it is consistent with the results of polarization experiments on pairs of photons.  The results are mixed."]
["Original Date",null,"20 Jan 2010"]
["This Version ",null,"A"]
["Author",null,"David Schneider, email: David@DrChinese.com"]
[]
["Overview",null,"This spreadsheet is based around the computer simulations of De Raedt et al per references [1] and [2] below.  Generally, the papers show that Local Realistic theories could reasonably make  predictions which violate a Bell Inequality."]
[null,null,"The attached worksheet pages cover several aspects of the model, and faithfully use the published information about the model to achieve the results.  The original code was in FORTRAN.  "]
[null,null,"In this spreadsheet, I have implemented using Visual Basic functions (VBA) which are accessible from the Visual Basic button in the Developer tab.  The actual code of the main model is presented below (see VBE for latest)."]
[]
["Worksheet Contents"]
[null,"A. Bell Inequality","Shows how a bias function would need to work in a minimal comparison of QM and LR."]
[]
[null,"B. De Raedt.TypeII.Entangled","Graphs the results of the simulation for Theta=0 to 90 degrees by degree.  The setup is a Type II PDC and matches what the De Raedt call \"Experiment I\" on entangled photon pairs.  "]
[null,null," Each angle setting gets an event by event simulation and the results are summarized."]
[]
[null,"C. EventDetail","Shows the event by event detail for a single run of the model, typically 5000 data points.  This graphs the stats by \"Case\"."]
[]
[null,"D. De Raedt.TypeII.NotEntangled","Graphs the results of the simulation for Theta=0 to 90 degrees by degree.  The setup is a Type II PDC and matches what I call \"Experiment IV\" on unentangled photon pairs.  "]
[null,null," Each angle setting gets an event by event simulation and the results are summarized."]
[]
["Conclusion",null,"The results show that the De Raedt model successfully models 2 important elements of Local Realism (LR), both based around Type II PDC entanglement.  "]
[null,null,"These respect Bell by assuming that the sample observed is not a fair representation of the full universe.  See the worksheets \"De Raedt.TypeII.Entangled\" and \"EventDetail\"."]
[null,null,"However, the model fails to handle the situation in which the photon pairs are correlated but not polarization entangled.  See the worksheet \"De Raedt.TypeII.NotEntangled\".  "]
[null,null,"According to the De Raedt Experiment II results (not simulated explicitly here), a different result should be expected which is more in line with the function .25+(cos^2(Theta)/2)."]
[]
["References","[1]","\"A computer program to simulate Einstein–Podolsky–Rosen–Bohm experiments with photons\" by K. De Raedt, H. De Raedt, and K. Michielsen (2007), published in Computer Physics Communications, 28 March 2007.   "]
[null,"[2]","\"Event-by-event simulation of Einstein-Podolsky-Rosen-Bohm experiments\" by S. Zhao, H. De Raedt and K. Michielsen (2007), published in the Foundations of Physics."]
[]
["Note regarding terminology",null,"Herein, I use Theta to refer to the angle between the polarized measurement settings for 2 observers (e.g. Alice and Bob).  This is consistent with the De Raedt papers.  "]
[null,null,"The term \"correlations\" - what is graphed - refers to coincidence matches divided by the number of associated trials (iterations), and takes values from 0 to 1. "]
[null,null,"The De Raedt papers use the term \"Correlation\" to refer to Matches less NonMatches (then divided by iterations), and takes the range from -1 to 1. "]
[null,null,"They typically graph over the range 0 to 180 degrees while I graph over 0 to 90 degrees.  Graph results are otherwise comparable."]
[]
["Appendix"]
[null,"Main Simulation Model Code in Visual Basic","Public Function MainModel(InitialAngle As Double, Theta As Double, WindowSize As Integer, Iterations As Integer, Experiment As Integer, PDCType As Integer, ReturnValueType As Integer, SaveDetail As Integer) As Double"]
[]
[null,null," This function is based on the simulation of De Raedt et al per the article entitled:"]
[null,null,"' \"A computer program to simulate Einstein–Podolsky–Rosen–Bohm experiments with photons\""]
[null,null,"' Originally published in Computer Physics Communications, 28 March 2007"]
[]
[null,null,"' The purpose of this model is to demonstrate that a algoritm obeying local realistic principles can yield"]
[null,null,"' an unfair sample (SUBSET) of the FULL UNIVERSE, which violates a Bell Inequality."]
[null,null,"' Particles 1 and 2 have orientations x1 and x2 and are analyzed at detector angles angle1 and angle2 respectively"]
[null,null,"' according to values c1 and c2 of a formula based only on the independent & separate (local) differences in the angles."]
[null,null,"' Similarly, time delays k1 and k2 are calculated for the particles independently (locally).  The decision to include the particle pair results in the"]
[null,null,"' SUBSET is made later by the experimenter, who bases this on a global parameter of the time window size.  The absolute difference"]
[null,null,"' in the time delays k1 and k2 determine such inclusion, which has the effect of biasing the sample so the SUBSET is no longer"]
[null,null,"' representative of the FULL UNIVERSE.  The simulation should not be considered a physical model itself, it is intended to"]
[null,null,"' demonstrate how it might be possible to achieve the results consistent with QM when the true model is in fact inconsistent with QM."]
[null,null,"' For example, the primary algorithm used here does not follow Malus' Law."]
[]
[null,null,"' The logic is a very close emulation of the De Raedt et al original code with the following differences:"]
[null,null,"' a) The angle settings may be either selected randomly (if -1 for InitialAngle), or they may be set to specific values by the caller."]
[null,null,"'    The original model only supported random selection of angles.  This change allows additional simulations to be performed if needed by the spreadsheet itself."]
[null,null,"' b) The exact number of iterations will be run for the same angle1 and angle2 values for this invocation of the function.  The original model would distribute the"]
[null,null,"'    number of iterations somewhat differently so that some settings had more trials, others less.  This should not affect the statistical results as long as the Iterations are"]
[null,null,"'    reasonably large (>500)."]
[null,null,"' c) The random seed is maintained by the computer internally and will NOT generate the same sequence of values each run.  This insures that the random seed itself has no effect."]
[null,null,"' d) The simulation calculates both for the SUBSET (ReturnValueType=1) and the FULL UNIVERSE (ReturnValueType=2) but only returns one of these each run, which means"]
[null,null,"'    the summary spreadsheet values are not actually associated with the same event-by-event simulation data.  This is done this way because a function returns a single value."]
[null,null,"'    This is not an issue because the Full universe results always closely mimic the straight line data values expected for a local realistic theory using the same algorithm as"]
[null,null,"'    for the Subset, which it is designed to do anyway.  Note that the Event by Event *detail* IS associated with the same run, so this isn't an issue there either."]
[null,null,"' e) This simulation does not support varying the d parameter, it always assumes d=2."]
[null,null,"' f) This simulation supports both PDC Types I and II, the original supported Type II only."]
[null,null,"' g) This simulation supports an explicit realistic presentation by creating a station 3 case in addition to cases for station 1 and station 2 in the original model."]
[null,null,"'    The station 3 case does NOT affect the normal results of the model.  But they demonstrate not only that there are values possible for at least one additional case over"]
[null,null,"'    and above those actually tested, and present values for those as well."]
[null,null,"' h) IMPORTANTLY: This model supports their Experiment I setup as well another setup that I label Experiment IV.  Their Experiment I models entangled Type II PDC,"]
[null,null,"'    with random but perpendicular photon polarizations.  Their Experiment II models Type II PDC, with known and unentangled photon polarizations.  The algorithm for this"]
[null,null,"'    was not available to me, and so it is not modeled here.  Their model used additional polarizers inserted in the pathways to achieve this, and the results matched model"]
[null,null,"'    expectations.  My Experiment IV also models Type II PDC, with known and unentangled photon polarizations.  It does this without inserting the additional polarizers per their"]
[null,null,"'    Experiment II.  The only difference this makes to the model code below is that the hypotheiszed real polarizations x1 and x2 of the photons are either random or fixed."]
[]
[null,null,"' This function counts type I/II matches for the number of iterations specified at a pair of angle settings."]
[null,null,"' Call with these function arguments:"]
[null,null,"'   InitialAngle: The angle1 value, a good recommended value is -1 which selects this randomly."]
[null,null,"'   Theta: The difference between angle1 and angle2, which are for the observer settings for Alice and Bob, select -1 if you want that randomly selected."]
[null,null,"'   WindowSize: The size of the time coincidence window, a good starting value is 30.  A larger window makes the SUBSET more closely resemble the FULL UNIVERSE."]
[null,null,"'   Iterations: Number of trials to run for these settings, with a good starting value being 1000.  A larger value tends to smooth out the random model effects."]
[null,null,"'   Exoeriment=1 or 4 corresponding to Experiment I or Experiment IV setup as explained in h) above."]
[null,null,"'   PDCType=1 or 2 corresponding to Type I or Type II entanglement."]
[null,null,"'   ReturnValueType: what result you want back from the function, where"]
[null,null,"'     if ReturnValueType=1 then returns the % for subset within coincidence window"]
[null,null,"'     if ReturnValueType=2 then returns the % for the full universe"]
[null,null,"'     ... and it always returns the count as a percentage between 0 and 1 (0 and 100%)"]
[null,null,"'   SaveDetail = 0 for obtaining summary statistics, or -1 to save the Event by Event iterations detail to the EventDetail worksheet."]
[]
[null,null,"' Sample function call to test in the Visual Basic immediate window:   ?DeRaedt(-1,45,30,1000,1,2,1,0)"]
[]
[null,null,"On Error Resume Next"]
[]
[null,null,"Dim r0 As Double, angle1 As Double, angle2 As Double, c1 As Double, c2 As Double, x1 As Double, x2 As Double"]
[null,null,"Dim j1 As Integer, j2 As Integer, k As Integer, k1 As Integer, k2 As Integer"]
[null,null,"Dim Matches As Integer, WithinWindow As Integer, MatchesWithinWindow As Integer, i As Integer"]
[]
[null,null,"' The following are additional variables for the \"station 3 case\" explicitly obeying the realism assumption in Bell - these apply to the Full Universe:"]
[null,null,"Dim angle3 As Double, j3 As Integer, c3 As Double"]
[]
[null,null,"' *** INITIALIZATION ***"]
[]
[null,null,"' Initialize static variables"]
[null,null,"Const tau = 0.0025"]
[null,null,"Const Pi = 3.14159265358979"]
[null,null,"Const Pi2 = Pi / 2"]
[null,null,"Const TwoPi = Pi * 2"]
[null,null,"Const FixedOffsetForChris = 60 ' see below for explanation, this does not affect the model results in any way - shown in degrees"]
[]
[null,null,"' Initialize the detector settings used for all trials for this particular run - essentially what detector settings are used for \"Alice\" (angle1) and \"Bob\" (angle2)"]
[null,null,"If InitialAngle = -1 Then"]
[null,null,"  angle1 = Rnd() * Pi ' set as being a random value"]
[null,null,"  Else"]
[null,null,"  angle1 = InitialAngle ' if caller specifies a value"]
[null,null,"  End If"]
[null,null,"angle2 = angle1 + Radians(Theta) ' fixed value offset always"]
[null,null,"angle3 = angle1 + Radians(FixedOffsetForChris) ' a hypothetical 3rd setting \"Chris\" with fixed offset from setting for particle 1, this does not affect the model/function results in any way - it is only used for Event by Event detail trial analysis"]
[null,null,"  "]
[null,null,"k = WindowSize ' coincidence time window size"]
[]
[null,null,"' clear counters"]
[null,null,"Matches = 0"]
[null,null,"WithinWindow = 0"]
[null,null,"MatchesWithinWindow = 0"]
[]
[null,null,"If SaveDetail Then"]
[null,null,"  Dim E As Worksheet, R As Range"]
[null,null,"  Set E = Worksheets(Detail)"]
[null,null,"  Set R = Worksheets(Detail).Range(Cells(7, 1), Cells(10006, 6))"]
[null,null,"  R.Value = \"\" ' works from immediate window, but not from page!"]
[null,null,"  End If"]
[]
[null,null,"' *** MAIN LOOP ***"]
[null,null,"Matches = 0"]
[null,null,"For i = 1 To Iterations:"]
[]
[null,null,"  If InitialAngle = -2 Then ' SPECIAL CASE: if the function is called with -2 for InitialAngle then the Alice/Bob/Chris observation settings are randomly re-oriented for each individual trial iteration."]
[null,null,"    angle1 = Rnd() * Pi ' set as being a random value"]
[null,null,"    angle2 = angle1 + Radians(Theta) ' fixed value offset always"]
[null,null,"    angle3 = angle1 + Radians(FixedOffsetForChris) ' a hypothetical 3rd setting \"Chris\" with fixed offset from setting for particle 1, this does not affect the model/function results in any way - it is only used for Event by Event detail trial analysis"]
[null,null,"    End If"]
[]
[null,null,"  ' determine polarizations of particles 1 and 2 when heading towards Alice and Bob for this iteration"]
[null,null,"  ' *** for polarization entangled particles, the polarization is hypothesized to be random according to the DeRaedt model - a key assumption ***"]
[null,null,"  If Experiment = 1 Then ' De Raedt EXPERIMENT I assumption"]
[null,null,"    r0 = Rnd() ' polarization is unknown and random, therefore photons are indistinguisable and entangled"]
[null,null,"    x1 = r0 * TwoPi"]
[null,null,"    ElseIf Experiment = 4 Then ' My EXPERIMENT IV setup (not assumed)"]
[null,null,"    x1 = 0 ' polarization is known and therefore there is no entanglement with this degree of freedom"]
[null,null,"    Else"]
[null,null,"    Exit Function"]
[null,null,"    End If"]
[null,null,"  If PDCType = 1 Then ' adjusts for PDC Type, this is the ONLY difference in the types"]
[null,null,"    x2 = x1 ' PDC Type I"]
[null,null,"    Else"]
[null,null,"    x2 = x1 + Pi2 ' This makes particle 2 perpendicular to particle 1, per PDC Type II"]
[null,null,"    End If"]
[null,null,"  "]
[null,null,"  ' *** station 1 ***"]
[null,null,"  c1 = Cos(2 * (x1 - angle1)) ' compare particle 1 polarization to the Alice detector setting"]
[null,null,"  If c1 > 0 Then"]
[null,null,"    j1 = 0"]
[null,null,"    Else"]
[null,null,"    j1 = 1"]
[null,null,"    End If"]
[null,null,"  r0 = Rnd()"]
[null,null,"  k1 = ((1 - (c1 * c1)) * r0 / tau) + 1 ' delay time - exponent removed since d/2 = 1, +1 at end is equivalent to FORTRAN ceiling function"]
[null,null,"  "]
[null,null,"  ' *** station 2 ***"]
[null,null,"  c2 = Cos(2 * (x2 - angle2)) ' compare particle 2 polarization to the Bob detector setting"]
[null,null,"  If c2 > 0 Then"]
[null,null,"    j2 = 0"]
[null,null,"    Else"]
[null,null,"    j2 = 1"]
[null,null,"    End If"]
[null,null,"  r0 = Rnd()"]
[null,null,"  k2 = ((1 - (c2 * c2)) * r0 / tau) + 1 ' delay time - exponent removed since d/2 = 1, +1 at end is equivalent to FORTRAN ceiling function"]
[null,null,"  "]
[null,null,"  ' *** station 3 ***"]
[null,null,"  ' compare particle 2 polarization to the hypothetical \"Chris\" detector setting which is angle3, fixed as being 45 degrees offset from angle2"]
[null,null,"  ' This is necessary to demonstrate Realism is respected by the model."]
[null,null,"  ' It wouldn't make sense if you could not do this in an event by event simulation which is intended to demonstrate Realism."]
[null,null,"  ' This is only considered for special cases and does not affect the main function results in any way!  So this extension is compatible with the original FORTRAN code"]
[null,null,"  c3 = Cos(2 * (x2 - angle3))"]
[null,null,"  If c3 > 0 Then"]
[null,null,"    j3 = 0"]
[null,null,"    Else"]
[null,null,"    j3 = 1"]
[null,null,"    End If"]
[null,null,"  "]
[null,null,"  If Abs(k1 - k2) < k Then"]
[null,null,"    WithinWindow = WithinWindow + 1"]
[null,null,"    End If"]
[null,null,"  If j1 = j2 Then ' count matches"]
[null,null,"    Matches = Matches + 1"]
[null,null,"    If Abs(k1 - k2) < k Then"]
[null,null,"      MatchesWithinWindow = MatchesWithinWindow + 1"]
[null,null,"      End If"]
[null,null,"    End If"]
[]
[null,null,"  If SaveDetail Then"]
[null,null,"    ' *** save the detail info for each event, this goes to the EventDetail worksheet ***"]
[null,null,"    R.Cells(i, 1) = i"]
[null,null,"    R.Cells(i, 2) = x1"]
[null,null,"    R.Cells(i, 3) = x2"]
[null,null,"    R.Cells(i, 4) = j1"]
[null,null,"    R.Cells(i, 5) = j2"]
[null,null,"    R.Cells(i, 6) = j3"]
[null,null,"    End If"]
[null,null,"    "]
[null,null,"  Next i"]
[null,null,"  "]
[null,null,"' *** RETURN RESULT AS FUNCTION VALUE ***"]
[null,null,"If ReturnValueType = 1 Then"]
[null,null,"  If WithinWindow > 0 Then"]
[null,null,"    MainModel = MatchesWithinWindow / WithinWindow"]
[null,null,"    Else"]
[null,null,"    MainModel = 0"]
[null,null,"    End If"]
[null,null,"ElseIf ReturnValueType = 2 Then"]
[null,null,"  MainModel = Matches / Iterations"]
[null,null,"  End If"]
[null,null,"  "]
[null,null,"End Function"]

{"sheet":"A. Bell Inequality","index":1,"n_rows":97,"n_cols":7,"rows_kept":97,"cut":false,"hidden":false,"merged":[]}
["BELL'S INEQUALITY, Type II PDC Boundary Analysis"]
["Shows how an Unfair Sample (i.e. bias) must affect results to match the predictions of QM"]
["This shows the ideal case."]
[]
["Theta","LR(Theta)","QM(Theta)"]
["(in degrees)","Straight Line","COS^2 rule","Bias(Theta)","X or Y","Z","X+Y-Z/2"]
[0,{"$f":"(A7/90)","v":0},{"$f":"1-COS(RADIANS(A7))^2","v":0},{"$f":"B7-C7","v":0},{"$f":"(A7-0)","v":0},{"$f":"90-ABS(A7-45)","v":45},{"$f":"(E7+45-F7)/180","v":0}]
[1,{"$f":"(A8/90)","v":1.1111111111111112E-2},{"$f":"1-COS(RADIANS(A8))^2","v":3.0458649045206343E-4},{"$f":"B8-C8","v":1.0806524620659048E-2},{"$f":"(A8-0)","v":1},{"$f":"90-ABS(A8-45)","v":46},{"$f":"(E8+45-F8)/180","v":0}]
[2,2.2222222222222223E-2,1.2179748700877902E-3,2.1004247352134433E-2,2,47,0]
[3,3.3333333333333333E-2,2.7390523158634661E-3,3.0594281017469867E-2,3,48,0]
[4,4.4444444444444446E-2,4.86596562921493E-3,3.9578478815229516E-2,4,49,0]
[5,5.5555555555555552E-2,7.5961234938959343E-3,4.7959432061659618E-2,5,50,0]
[6,6.6666666666666666E-2,1.0926199633097267E-2,5.5740467033569399E-2,6,51,0]
[{"$f":"A13+1","v":7},7.7777777777777779E-2,1.4852136862001819E-2,6.292564091577596E-2,7,52,0]
[{"$f":"A14+1","v":8},8.8888888888888892E-2,1.9369152030840442E-2,6.951973685804845E-2,8,53,0]
[9,0.1,2.4471741852423179E-2,7.5528258147576827E-2,9,54,0]
[10,0.1111111111111111,3.0153689607045897E-2,8.0957421504065208E-2,10,55,0]
[11,0.12222222222222222,3.6408072716606288E-2,8.581414950561593E-2,11,56,0]
[12,0.13333333333333333,4.32272711786994E-2,9.0106062154633931E-2,12,57,0]
[13,0.14444444444444443,5.0602976850416481E-2,9.384146759402795E-2,13,58,0]
[14,0.15555555555555556,5.8526203570536506E-2,9.7029351985019052E-2,14,59,0]
[15,0.16666666666666666,6.6987298107780591E-2,9.9679368558886067E-2,15,60,0]
[16,0.17777777777777778,7.5975951921786966E-2,0.10180182585599082,16,61,0]
[17,0.18888888888888888,8.5481213722479188E-2,0.1034076751664097,17,62,0]
[18,0.2,9.5491502812526385E-2,0.10450849718747363,18,63,0]
[19,0.21111111111111111,0.10599462319663899,0.10511648791447212,19,64,0]
[20,0.22222222222222221,0.11697777844051094,0.10524444378171127,20,65,0]
[21,0.23333333333333334,0.12842758726130288,0.10490574607203046,21,66,0]
[22,0.24444444444444444,0.14033009983067435,0.10411434461377009,22,67,0]
[23,0.25555555555555554,0.15267081477050126,0.10288474078505427,23,68,0]
[24,0.26666666666666666,0.16543469682057099,0.10123196984609567,24,69,0]
[25,0.27777777777777779,0.17860619515673037,9.9171582621047416E-2,25,70,0]
[26,0.28888888888888886,0.1921692623371708,9.6719626551718063E-2,26,71,0]
[27,0.3,0.20610737385376332,9.3892626146236668E-2,27,72,0]
[28,0.31111111111111112,0.22040354826462649,9.0707562846484624E-2,28,73,0]
[29,0.32222222222222224,0.23504036788339766,8.7181854338824583E-2,29,74,0]
[30,0.33333333333333331,0.24999999999999989,8.3333333333333426E-2,30,75,0]
[31,0.34444444444444444,0.26526421860705451,7.9180225837389928E-2,31,76,0]
[32,0.35555555555555557,0.2808144266054613,7.4741128950094271E-2,32,77,0]
[33,0.36666666666666664,0.29663167846209981,7.0034988204566828E-2,33,78,0]
[34,0.37777777777777777,0.31269670329204413,6.5081074485733637E-2,34,79,0]
[35,0.3888888888888889,0.32898992833716567,5.9898960551723224E-2,35,80,0]
[36,0.4,0.34549150281252627,5.4508497187473748E-2,36,81,0]
[37,0.41111111111111109,0.36218132209150045,4.8929789019610648E-2,37,82,0]
[38,0.42222222222222222,0.3790390522001662,4.3183170022056017E-2,38,83,0]
[39,0.43333333333333335,0.3960441545911203,3.7289178742213047E-2,39,84,0]
[40,0.44444444444444442,0.41317591116653485,3.1268533277909571E-2,40,85,0]
[41,0.45555555555555555,0.43041344951996729,2.5142106035588252E-2,41,86,0]
[42,0.46666666666666667,0.44773576836617324,1.8930898300493437E-2,42,87,0]
[43,0.4777777777777778,0.4651217631279374,1.2656014649840397E-2,43,88,0]
[44,0.48888888888888887,0.48255025164874943,6.3386372401394442E-3,44,89,0]
[45,0.5,0.49999999999999989,0,{"$f":"90-(A52-0)","v":45},90,0]
[46,0.51111111111111107,0.51744974835125057,-6.3386372401394997E-3,44,89,0]
[47,0.52222222222222225,0.53487823687206271,-1.2656014649840452E-2,43,88,0]
[48,0.53333333333333333,0.55226423163382665,-1.8930898300493326E-2,42,87,0]
[49,0.5444444444444444,0.56958655048003282,-2.5142106035588419E-2,41,86,0]
[50,0.55555555555555558,0.58682408883346515,-3.1268533277909571E-2,40,85,0]
[51,0.56666666666666665,0.60395584540887959,-3.7289178742212936E-2,39,84,0]
[52,0.57777777777777772,0.62096094779983391,-4.3183170022056183E-2,38,83,0]
[53,0.58888888888888891,0.63781867790849955,-4.8929789019610648E-2,37,82,0]
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[63,0.7,0.79389262614623657,-9.3892626146236613E-2,27,72,0]
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[80,0.88888888888888884,0.96984631039295421,-8.0957421504065374E-2,10,55,0]
[81,0.9,0.97552825814757682,-7.5528258147576799E-2,9,54,0]
[82,0.91111111111111109,0.98063084796915945,-6.9519736858048353E-2,8,53,0]
[83,0.92222222222222228,0.98514786313799818,-6.2925640915775904E-2,7,52,0]
[84,0.93333333333333335,0.98907380036690284,-5.5740467033569496E-2,6,51,0]
[85,0.94444444444444442,0.99240387650610407,-4.7959432061659646E-2,5,50,0]
[86,0.9555555555555556,0.99513403437078518,-3.9578478815229579E-2,4,49,0]
[87,0.96666666666666667,0.99726094768413664,-3.0594281017469971E-2,3,48,0]
[88,0.97777777777777775,0.9987820251299121,-2.1004247352134353E-2,2,47,0]
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[90,1,1,0,0,45,0]

{"sheet":"B. De Raedt.TypeII.Entangled","index":2,"n_rows":97,"n_cols":10,"rows_kept":97,"cut":false,"hidden":false,"merged":[]}
["DE RAEDT MODEL, Experiment I: Type II PDC with Polarization Entanglement"]
["Mimics their FORTRAN Code using Visual Basic and demonstrates how an Unfair Sample can violate the bounds of Bell's Inequality even though the Full Universe does not"]
["IMPORTANT: The simulation on this worksheet page DOES deliver",null,null,null,null,null,null,"Window Size, k =",30,"<====== Changing this parameter will automatically re-calc the data and update the graph below.  A reasonable value is 30 and should be in the rangle 1 to 30000"]
[null,"results consistent with model requirements!",null,null,null,null,null,"Iterations, loops =",5000,"<====== Changing this parameter will automatically re-calc the data and update the graph below.  A reasonable value is 5000 and should be in the rangle 1 to 500000 (note that values larger than 10000 take more processing time.)"]
["Theta","LR(Theta)","QM(Theta)",null,null,"De Raedt's","De Raedt's"]
["(in degrees)","Straight Line","COS^2 rule",null,null,"Unfair Sample","Full Universe"]
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[66,0.73333333333333328,0.83456530317942912,null,null,0.78947368421052633,0.74360000000000004]
[{"$f":"A73+A73-A72","v":67},0.74444444444444446,0.84732918522949863,null,null,0.81746031746031744,0.74719999999999998]
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[79,0.87777777777777777,0.96359192728339371,null,null,0.9478442280945758,0.88139999999999996]
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[81,0.9,0.97552825814757682,null,null,0.9613679544015199,0.89639999999999997]
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[84,0.93333333333333335,0.98907380036690284,null,null,0.97755211117049701,0.93240000000000001]
[85,0.94444444444444442,0.99240387650610407,null,null,0.98281092012133464,0.94159999999999999]
[86,0.9555555555555556,0.99513403437078518,null,null,0.98744567841622399,0.95720000000000005]
[87,0.96666666666666667,0.99726094768413664,null,null,0.98962264150943391,0.96340000000000003]
[88,0.97777777777777775,0.9987820251299121,null,null,0.99263351749539597,0.97940000000000005]
[89,0.98888888888888893,0.99969541350954783,null,null,0.99726526891522338,0.98660000000000003]
[90,1,1,null,null,1,1]

{"sheet":"C. Event Detail","index":3,"n_rows":10006,"n_cols":25,"rows_kept":4500,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0}}
["DE RAEDT MODEL, EVENT BY EVENT, Experiment I: Type II PDC with Polarization Entanglement"]
["Mimics their FORTRAN Code using Visual Basic and displays an Event by Event simulation respecting Realism (3 simultaneous measurement settings)"]
["The model should and does show full suppression of Cases 2 & 7 or Cases 3 & 6 when operating at the Local Realistic boundary condition.  It follows the basic setup also used in the DeRaeft.TypeII.Entangled worksheet page."]
["This worksheet page allows the Input Parameters (yellow) to be explicitly set, and returns the Full Universe of events plus summary of each of the 8 \"realistic\" cases when you re-reun it.  See instructions in red to re-run below."]
["Iteration","x1 (pol1)","x2 (pol2)","k1 (tag1)","k2 (tag2)","In Window","j1 ","j2","j3","Case [1]","Case [2]","Case [3]","Case [4]","Case [5]","Case [6]","Case [7]","Case [8]"]
[{"$f":"MAX(A7:A10006)","v":5000},null,null,{"$f":"MAX(D7:D10006)","v":400},398,{"$f":"SUM(F7:F10006)/$A6","v":0.17780000000000001},null,null,null,{"$f":"SUM(J7:J10006)/$A6","v":0.16719999999999999},{"$f":"SUM(K7:K10006)/$A6","v":0.17119999999999999},0,0.15920000000000001,0.16880000000000001,0,0.1666,0.16700000000000001,{"$f":"SUM(J6:Q6)","v":1},"Event by Event Simulation Input Parameters:"]
[1,3.786451437015093,5.3572477638099878,82,4,null,0,1,1,{"$f":"IF(AND(G7=1,H7=1,I7=1),1,0)","v":0},{"$f":"IF(AND(G7=1,H7=0,I7=1),1,0)","v":0},{"$f":"IF(AND(G7=1,H7=1,I7=0),1,0)","v":0},{"$f":"IF(AND(G7=1,H7=0,I7=0),1,0)","v":0},{"$f":"IF(AND(G7=0,H7=1,I7=1),1,0)","v":1},{"$f":"IF(AND(G7=0,H7=0,I7=1),1,0)","v":0},{"$f":"IF(AND(G7=0,H7=1,I7=0),1,0)","v":0},{"$f":"IF(AND(G7=0,H7=0,I7=0, A7>0),1,0)","v":0},null,"Angle1 (degrees)",0,"<====== This parameter is used to update event by event detail when the simulation is re-run.  See instructions in RED to re-run, this must be done manually."]
[2,3.075062229027703,4.6458585558225982,7,292,null,0,1,0,{"$f":"IF(AND(G8=1,H8=1,I8=1),1,0)","v":0},{"$f":"IF(AND(G8=1,H8=0,I8=1),1,0)","v":0},{"$f":"IF(AND(G8=1,H8=1,I8=0),1,0)","v":0},{"$f":"IF(AND(G8=1,H8=0,I8=0),1,0)","v":0},{"$f":"IF(AND(G8=0,H8=1,I8=1),1,0)","v":0},{"$f":"IF(AND(G8=0,H8=0,I8=1),1,0)","v":0},{"$f":"IF(AND(G8=0,H8=1,I8=0),1,0)","v":1},{"$f":"IF(AND(G8=0,H8=0,I8=0, A8>0),1,0)","v":0},null,"Angle2 (degrees)",30,"<====== This parameter is used to update event by event detail when the simulation is re-run.  See instructions in RED to re-run, this must be done manually.  Some good values are 30, 45, or 90 degrees. "]
[3,6.2658939431762919,7.8366902699711867,1,216,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G9=0,H9=0,I9=0, A9>0),1,0)","v":0},null,"Angle3 (degrees)",{"$f":"T7+60","v":60}]
[4,4.2396285351916703,5.810424861986565,37,312,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G10=0,H10=0,I10=0, A10>0),1,0)","v":0},null,"Window Size, k =",30,"<====== This parameter is used to update event by event detail when the simulation is re-run.  See instructions in RED to re-run, this must be done manually.  A reasonable value is 30 and should be in the rangle 1 to 30000."]
[5,4.3279571413355162,5.898753468130411,177,364,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G11=0,H11=0,I11=0, A11>0),1,0)","v":0},null,"Iterations, loops =",5000,"<====== This parameter is used to update event by event detail when the simulation is re-run.  See instructions in RED to re-run, this must be done manually.  A reasonable value is 5000 and should be in the rangle 1 to 10000."]
[6,0.54984672485455111,2.1206430516494459,179,2,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G12=0,H12=0,I12=0, A12>0),1,0)","v":0}]
[7,3.9096739865060255,5.4804703133009207,314,63,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G13=0,H13=0,I13=0, A13>0),1,0)","v":0},null,"Full universe results = ",0.3342]
[8,4.1498112636103626,5.7206075904052573,267,196,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G14=0,H14=0,I14=0, A14>0),1,0)","v":0}]
[9,3.6988677253505209,5.2696640521454157,65,3,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G15=0,H15=0,I15=0, A15>0),1,0)","v":0},"=====>","To re-run the simulation for this worksheet page (i.e. generate new detail here):"]
[10,4.1788902363291536,5.7496865631240484,141,214,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G16=0,H16=0,I16=0, A16>0),1,0)","v":0},null,"1. Enter the desired simulation parameters in the Yellow cells above."]
[11,1.08292939160165,2.653725718396545,135,90,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G17=0,H17=0,I17=0, A17>0),1,0)","v":0},null,"2. Go to the Visual Basic Immediate Pane (Developer* tab/Visual Basic button/Ctrl+G). "]
[12,4.0750701469599928,5.6458664737548876,188,88,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G18=0,H18=0,I18=0, A18>0),1,0)","v":0},null,"3. Then copy or type the following text in the window and press <enter>:",null,null,null,"?eventdetail()"]
[13,5.9761206280631667,7.5469169548580615,77,62,1,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G19=0,H19=0,I19=0, A19>0),1,0)","v":1},null,"4. The events will be updated on this sheet, to the left in about 10 seconds."]
[14,3.2377495801460316,4.8085459069409264,12,216,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G20=0,H20=0,I20=0, A20>0),1,0)","v":0},null,"My apologies, but the routine won't update properly within this worksheet without the above steps."]
[15,4.9949863663286997,6.5657826931235945,63,10,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G21=0,H21=0,I21=0, A21>0),1,0)","v":0},null,"If you don't re-run it, then you simply have my last run values.  That should be fine for most purposes.-David"]
[16,6.1058375039317179,7.6766338307266127,45,339,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G22=0,H22=0,I22=0, A22>0),1,0)","v":0},null,"* If you do not see the Developer tab across the top, you can activate it by going to Options/Popular/Developer and checking \"Show Developer tab in the ribbon\"."]
[17,2.2346321303578298,3.8054284571527246,274,11,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G23=0,H23=0,I23=0, A23>0),1,0)","v":0}]
[18,5.0477315616863718,6.6185278884812666,31,31,1,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G24=0,H24=0,I24=0, A24>0),1,0)","v":0}]
[19,0.57563415530168038,2.1464304820965756,27,5,1,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G25=0,H25=0,I25=0, A25>0),1,0)","v":0}]
[20,4.411068864575248,5.9818651913701428,62,251,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G26=0,H26=0,I26=0, A26>0),1,0)","v":0}]
[21,2.6504472838708732,4.221243610665768,68,123,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G27=0,H27=0,I27=0, A27>0),1,0)","v":1}]
[22,3.8544907503941697,5.4252870771890649,262,10,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G28=0,H28=0,I28=0, A28>0),1,0)","v":0}]
[23,5.3548217072807098,6.9256180340756046,245,9,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G29=0,H29=0,I29=0, A29>0),1,0)","v":0}]
[24,5.1677213665090846,6.7385176933039794,240,4,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G30=0,H30=0,I30=0, A30>0),1,0)","v":0}]
[25,1.059647787680825,2.6304441144757202,148,260,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G31=0,H31=0,I31=0, A31>0),1,0)","v":0}]
[26,1.542906039383904,3.1137023661787993,2,124,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G32=0,H32=0,I32=0, A32>0),1,0)","v":0}]
[27,0.24944452577145923,1.8202408525663543,33,36,1,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G33=0,H33=0,I33=0, A33>0),1,0)","v":0}]
[28,4.0787313276685797,5.6495276544634745,34,202,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G34=0,H34=0,I34=0, A34>0),1,0)","v":0}]
[29,3.9199092635892567,5.4907055903841515,346,33,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G35=0,H35=0,I35=0, A35>0),1,0)","v":0}]
[30,4.7900123031247928,6.3608086299196875,7,155,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G36=0,H36=0,I36=0, A36>0),1,0)","v":0}]
[31,0.15100460437074728,1.7218009311656424,35,103,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G37=0,H37=0,I37=0, A37>0),1,0)","v":0}]
[32,3.160899988926376,4.7316963157212708,1,272,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G38=0,H38=0,I38=0, A38>0),1,0)","v":0}]
[33,4.2941870935803346,5.8649834203752294,16,117,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G39=0,H39=0,I39=0, A39>0),1,0)","v":0}]
[34,4.9391724603811999,6.5099687871760947,33,50,1,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G40=0,H40=0,I40=0, A40>0),1,0)","v":0}]
[35,0.42036054531542816,1.9911568721103232,144,14,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G41=0,H41=0,I41=0, A41>0),1,0)","v":0}]
[36,3.970834354789428,5.5416306815843228,170,77,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G42=0,H42=0,I42=0, A42>0),1,0)","v":0}]
[37,1.3874957343323249,2.9582920611272199,49,6,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G43=0,H43=0,I43=0, A43>0),1,0)","v":0}]
[38,3.4273430142049985,4.9981393409998933,44,50,1,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G44=0,H44=0,I44=0, A44>0),1,0)","v":0}]
[39,0.3514976909811362,1.9222940177760313,115,19,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G45=0,H45=0,I45=0, A45>0),1,0)","v":0}]
[40,2.4016843608909064,3.9724806876858016,89,108,1,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G46=0,H46=0,I46=0, A46>0),1,0)","v":1}]
[41,2.804928436985259,4.3757247637801537,44,271,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G47=0,H47=0,I47=0, A47>0),1,0)","v":1}]
[42,1.0840240756453485,2.6548204024402438,74,95,1,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G48=0,H48=0,I48=0, A48>0),1,0)","v":0}]
[43,3.073353353457605,4.6441496802525002,5,80,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G49=0,H49=0,I49=0, A49>0),1,0)","v":0}]
[44,3.900232289815746,5.4710286166106412,29,26,1,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G50=0,H50=0,I50=0, A50>0),1,0)","v":0},null,null,null,null,null,null,null,"=deraedt(Q7,Q8,Q10,Q11,1,1,2,-1)"]
[45,3.2477320649851653,4.8185283917800605,2,30,1,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G51=0,H51=0,I51=0, A51>0),1,0)","v":0}]
[46,1.5673763286125288,3.1381726554074238,1,186,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G52=0,H52=0,I52=0, A52>0),1,0)","v":0}]
[47,4.4560677565597206,6.0268640833546154,7,299,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G53=0,H53=0,I53=0, A53>0),1,0)","v":0}]
[48,2.5556666706436064,4.1264629974385016,166,128,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G54=0,H54=0,I54=0, A54>0),1,0)","v":1}]
[49,2.4792900818006842,4.050086408595579,311,75,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G55=0,H55=0,I55=0, A55>0),1,0)","v":1}]
[50,3.8047637071775058,5.375560033972401,353,28,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G56=0,H56=0,I56=0, A56>0),1,0)","v":0}]
[51,2.4375872261722131,4.0083835529671079,92,59,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G57=0,H57=0,I57=0, A57>0),1,0)","v":1}]
[52,5.7414496555437857,7.3122459823386805,198,234,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G58=0,H58=0,I58=0, A58>0),1,0)","v":1}]
[53,6.0123459438958333,7.5831422706907281,42,283,null,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G59=0,H59=0,I59=0, A59>0),1,0)","v":1}]
[54,2.2872777068459764,3.8580740336408716,86,7,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G60=0,H60=0,I60=0, A60>0),1,0)","v":0}]
[55,1.6378784002096567,3.2086747270045519,6,21,1,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G61=0,H61=0,I61=0, A61>0),1,0)","v":0}]
[56,3.7793129585488114,5.3501092853437067,300,6,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G62=0,H62=0,I62=0, A62>0),1,0)","v":0}]
[57,2.2342815917793484,3.8050779185742432,273,27,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G63=0,H63=0,I63=0, A63>0),1,0)","v":0}]
[58,1.5014286369864649,3.0722249637813599,4,198,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G64=0,H64=0,I64=0, A64>0),1,0)","v":0}]
[59,0.69438284383263227,2.265179170627527,94,15,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G65=0,H65=0,I65=0, A65>0),1,0)","v":0}]
[60,4.0059031929187272,5.576699519713622,89,37,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G66=0,H66=0,I66=0, A66>0),1,0)","v":0}]
[61,3.9350453396447218,5.5058416664396166,67,54,1,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G67=0,H67=0,I67=0, A67>0),1,0)","v":0}]
[62,0.51570666415541666,2.0865029909503114,81,1,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G68=0,H68=0,I68=0, A68>0),1,0)","v":0}]
[63,1.7823912997519835E-2,1.5886202397924147,1,11,1,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G69=0,H69=0,I69=0, A69>0),1,0)","v":0}]
[64,3.5783704635044717,5.1491667902993665,214,7,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G70=0,H70=0,I70=0, A70>0),1,0)","v":0}]
[65,3.4412817912910132,5.012078118085908,105,5,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G71=0,H71=0,I71=0, A71>0),1,0)","v":0}]
[66,4.2706804109355057,5.8414767377304004,121,283,null,1,1,1,{"$f":"IF(AND(G72=1,H72=1,I72=1),1,0)","v":1},{"$f":"IF(AND(G72=1,H72=0,I72=1),1,0)","v":0},{"$f":"IF(AND(G72=1,H72=1,I72=0),1,0)","v":0},{"$f":"IF(AND(G72=1,H72=0,I72=0),1,0)","v":0},{"$f":"IF(AND(G72=0,H72=1,I72=1),1,0)","v":0},{"$f":"IF(AND(G72=0,H72=0,I72=1),1,0)","v":0},{"$f":"IF(AND(G72=0,H72=1,I72=0),1,0)","v":0},{"$f":"IF(AND(G72=0,H72=0,I72=0, A72>0),1,0)","v":0}]
[67,4.8356246376216081,6.4064209644165029,18,22,1,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G73=0,H73=0,I73=0, A73>0),1,0)","v":0}]
[68,1.5498651289836332,3.1206614557785279,2,200,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G74=0,H74=0,I74=0, A74>0),1,0)","v":0}]
[69,4.7194817689935142,6.290278095788409,1,162,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G75=0,H75=0,I75=0, A75>0),1,0)","v":0}]
[70,5.0239653456709368,6.5947616724658316,5,22,1,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G76=0,H76=0,I76=0, A76>0),1,0)","v":0}]
[71,4.6733807028247778,6.2441770296196726,1,289,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G77=0,H77=0,I77=0, A77>0),1,0)","v":0}]
[72,6.2326455837115216,7.8034419105064163,2,128,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G78=0,H78=0,I78=0, A78>0),1,0)","v":0}]
[73,0.50126080455309419,2.0720571313479894,81,2,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G79=0,H79=0,I79=0, A79>0),1,0)","v":0}]
[74,3.0651003420751253,4.6358966688700205,9,218,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G80=0,H80=0,I80=0, A80>0),1,0)","v":0}]
[75,4.6726122144027213,6.2434085411976161,3,43,null,1,0,1,0,1,0,0,0,0,0,{"$f":"IF(AND(G81=0,H81=0,I81=0, A81>0),1,0)","v":0}]
[76,0.14968521611007318,1.7204815429049682,21,110,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G82=0,H82=0,I82=0, A82>0),1,0)","v":0}]
[77,1.2449164145770717,2.8157127413719669,67,257,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G83=0,H83=0,I83=0, A83>0),1,0)","v":0}]
[78,3.8684793369149473,5.4392756637098421,276,30,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G84=0,H84=0,I84=0, A84>0),1,0)","v":0}]
[79,1.9306440264788385,3.5014403532737335,137,3,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G85=0,H85=0,I85=0, A85>0),1,0)","v":0}]
[80,0.80485530154535045,2.3756516283402456,181,25,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G86=0,H86=0,I86=0, A86>0),1,0)","v":0}]
[81,2.8359286307591898,4.4067249575540846,17,38,1,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AND(G87=0,H87=0,I87=0, A87>0),1,0)","v":1}]
[82,4.2507087001307289,5.8215050269256237,31,52,1,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G88=0,H88=0,I88=0, A88>0),1,0)","v":0}]
[83,1.1103942390285009,2.6811905658233961,42,237,null,1,1,1,1,0,0,0,0,0,0,{"$f":"IF(AND(G89=0,H89=0,I89=0, A89>0),1,0)","v":0}]
[84,3.6433833855879181,5.2141797123828129,191,1,null,0,1,1,0,0,0,0,1,0,0,{"$f":"IF(AND(G90=0,H90=0,I90=0, A90>0),1,0)","v":0}]
[85,6.1237393143911225,7.6945356411860173,14,337,null,0,1,0,0,0,0,0,0,0,1,{"$f":"IF(AND(G91=0,H91=0,I91=0, A91>0),1,0)","v":0}]
[86,5.2315021604694492,6.8022984872643439,258,1,null,1,0,0,0,0,0,1,0,0,0,{"$f":"IF(AND(G92=0,H92=0,I92=0, A92>0),1,0)","v":0}]
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{"sheet":"D. De Raedt.TypeII.NotEntangled","index":4,"n_rows":97,"n_cols":10,"rows_kept":97,"cut":false,"hidden":false,"merged":[]}
["DE RAEDT MODEL, My Experiment IV: Type II PDC without Polarization Entanglement"]
["Mimics their FORTRAN Code for Type II where there is known polarization from PDC because the input laser polarization is aligned with the PDC crystal axis to produce unentangled HV (or VH) output"]
["IMPORTANT: The simulation on this worksheet page FAILS to deliver",null,null,null,null,null,null,"Window Size, k =",30,"<====== Changing this parameter will automatically re-calc the data and update the graph below.  A reasonable value is 30 and should be in the rangle 1 to 30000"]
[null,"results consistent with model requirements!",null,null,null,null,null,"Iterations, loops =",5000,"<====== Changing this parameter will automatically re-calc the data and update the graph below.  A reasonable value is 5000 and should be in the rangle 1 to 500000 (note that values larger than 10000 take more processing time.)"]
["Theta","De Raedt's LR","QM(Theta)",null,null,"De Raedt's","De Raedt's"]
["(in degrees)","Model Ideal ","(.5 +COS^2)/2",null,null,"Unfair Sample","Full Universe"]
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