Undergrad Simulations that disprove the PBR theorem

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The discussion centers on the possibility of simulating the EPR experiment with entangled photons to challenge the PBR theorem. Participants explore whether such a simulation, yielding results indistinguishable from actual experiments, could be considered a violation of the PBR conclusion. The implications of hidden variable theories in this context are examined, particularly how they relate to quantum entanglement. The conversation emphasizes the need for concrete examples of experiments that could demonstrate this violation. Ultimately, the feasibility of such simulations raises important questions about the foundations of quantum mechanics.
kurt101
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What is an example of an experiment that if you were to simulate using hidden variables would violate the PBR theorem's conclusion?

If you were able to simulate the EPR experiment using photons, one entangled photon pair at a time, and get results that are indistinguishable from experimental results, would that simulation model qualify as violating the PBR conclusion?
 
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Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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