Proposal to test quantum mechanics against macroscopic realism using continuous variable entanglement: a definitive signature of a Schrödinger cat

Details Proposal to test quantum mechanics against macroscopic realism using continuous variable entanglement: a definitive signature of a Schrödinger cat Proposal to test quantum mechanics against macroscopic realism using continuous variable entanglement: a definitive signature of a Schrödinger cat

2001-01-12

arxiv.org/abs/quant-ph/0101052v1

Physics

Quantum Physics

8 pages,2 figures, presented in postdeadline session CLEO(Europe)September,2000

Scientific paper

In the Schr\"odinger-cat gedanken experiment a cat is in a quantum superposition of two macroscopically distinct states, alive and dead.The paradoxical interpretation of quantum mechanics is that the cat is not in one state or the other, alive or dead, immediately prior to its measurement. Because of this apparent defiance of macroscopic reality, quantum superpositions of states macroscopically distinct have generated much interest. Here we address the issue of proving a contradiction with macroscopic reality objectively, through the testable predictions of quantum mechanics. We consider the premises of macroscopic reality (that the ``cat'' is either ``dead'' or ``alive'', the measurement indicating which) and macroscopic locality (that simultaneous measurements some distance away cannot induce the macroscopic change, ``dead'' to ``alive'' and vice versa, to the ``cat''). The predictions of quantum mechanics for certain states, generated using states exhibiting continuous variable entanglement, are shown to be incompatible with the predictions of all theories based on this dual premise. Our proof is along the lines of Bell's theorem, but where all relevant measurements give macroscopically distinct results.

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