Preliminary analysis of a recent experiment by F. A. Bovino(4)

An analysis is made of the results of a recent polarization correlation experiment by Bovino (unpublished) where about 60,000 data have been obtained. I assume that the state of the photon pairs produced in the source (a non-linear crystal) are in a (sligh

a)theinitialtwo-photonstate(3)withweightµaµb,

b)asingle-photonstatehorizontallypolarizedforAlicewithweightµa(1 µb)/(2+2γ+γ2),

c)asingle-photonstateverticallypolarizedforAlicewithweightµa(1 µb)(1+γ)2/(2+2γ+γ2)),

d)asingle-photonstatehorizontallypolarizedforBobwithweightµb(1 µa)(1+γ)2/(2+2γ+γ2)),

e)asingle-photonstateverticallypolarizedforBobwithweightµb(1 µa)/(2+2γ+γ2),

f)thevacuumstatewithweight1 µa µb+µaµb.

3.ThetransmittancesofthepolarizationanalyzersofAliceforhorizontalorverticalpolarizationaresuchthat,whenabeamoflinearlypolarizedlightwithintensityIinarrivesatthepolarizer,thetransmittedandre ectedintensitiesare,respectively,

1Ia+(θ)=Iin(Ta+ ta+)cos2θ+ta+=

2Iin[(Ta +ta )+(Ta ta )cos2θ],

andsimilarforBobwiththechangesa→b.ThesumT+tisclosetounitywhilst0<t<<1.

4.Thequantume cienciesofthe4detectorsaredi erent,sayζa+andζa forAliceandζb+andζb forBob.

Intheidealsituationthequantumpredictionforthe4coincidenceprob-abilitiesofstate(3)wouldbe[3]

P++=1

[(1+γ)sinαsinβ+cosαcosβ]2,

P +=1+(1+γ)12

1+(1+γ)2[(1+γ)cosαsinβ sinαcosβ]2,(5)

whereα(β)istheangleofAlice´s(Bob´s)polarizationanalyzer.NowIintroducethemostrelevantnon-idealitiesasfollows.Duetolossesand

4

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