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This thread is inspired by PeterDonis' thread about "hidden" assumptions in the PBR Theorem. He referenced Matt Leifer's in depth article on PBR (original referenced). And Demystifier has provided an excellent summary of PBR as a PDF file, which I have attached.
Leifer's "Is The Quantum State Real?" (comprehensive discussion of the subject)
https://arxiv.org/pdf/1409.1570.pdf
PBR Original (a bit more technical)
https://arxiv.org/abs/1111.3328
I am trying to follow PeterDonis' thread, but I realize I have several things I am not sure I fully understand. So I want to ask a few questions around my understanding of PBR.
Please reference Demystifier's PDF, page 17 (diagram); which is the same as Fig.2 from the PBR Original paper. Also Demystifier's PDF, page 18 (4 states ##|\phi_{1} \rangle##, ##|\phi_{2} \rangle##, ##|\phi_{3} \rangle##, or ##|\phi_{4} \rangle##); which are the same 4 states Leifer has on page 35 (his ##|\phi_{00} \rangle##, ##|\phi_{01} \rangle##, ##|\phi_{10} \rangle##, ##|\phi_{11} \rangle##).
1. The 4 states are all entangled states, correct? No specific mechanism is provided to get to this, we just assume that this can be accomplished. (I might compare it to the 4 entangled Bell states that can result in the BSA projection during entanglement swapping.)
2. For that to work, the 2 prepared systems must have their quantum particles arrive at the measurement apparatus at times which do not allow them to be distinguished, correct?
3. The measurement apparatus projects the input particles (each in either 0 or + pure state) into one of the 4 states, but does not allow the experimenter to select which specific state is to result. Correct?
Leifer's "Is The Quantum State Real?" (comprehensive discussion of the subject)
https://arxiv.org/pdf/1409.1570.pdf
PBR Original (a bit more technical)
https://arxiv.org/abs/1111.3328
I am trying to follow PeterDonis' thread, but I realize I have several things I am not sure I fully understand. So I want to ask a few questions around my understanding of PBR.
Please reference Demystifier's PDF, page 17 (diagram); which is the same as Fig.2 from the PBR Original paper. Also Demystifier's PDF, page 18 (4 states ##|\phi_{1} \rangle##, ##|\phi_{2} \rangle##, ##|\phi_{3} \rangle##, or ##|\phi_{4} \rangle##); which are the same 4 states Leifer has on page 35 (his ##|\phi_{00} \rangle##, ##|\phi_{01} \rangle##, ##|\phi_{10} \rangle##, ##|\phi_{11} \rangle##).
1. The 4 states are all entangled states, correct? No specific mechanism is provided to get to this, we just assume that this can be accomplished. (I might compare it to the 4 entangled Bell states that can result in the BSA projection during entanglement swapping.)
2. For that to work, the 2 prepared systems must have their quantum particles arrive at the measurement apparatus at times which do not allow them to be distinguished, correct?
3. The measurement apparatus projects the input particles (each in either 0 or + pure state) into one of the 4 states, but does not allow the experimenter to select which specific state is to result. Correct?