Escape from the quantum pigeon conundrum |
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Institution: | 1. University of Winnipeg, Physics Department, Winnipeg, MB R3B 2E9, Canada;2. Red River College, Applied Computer Education Department, Winnipeg, MB R3B 1K9, Canada |
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Abstract: | It has recently been argued in Aharonov et al. (2016) that quantum mechanics violates the Pigeon Counting Principle (PCP) which states that if one distributes three pigeons among two boxes there must be at least two pigeons in one of the boxes. However, this conclusion cannot be justified by rigorous theoretical arguments. The issue is further complicated by experimental confirmation of the transition amplitudes predicted in this paper that nevertheless do not support the conclusion of PCP violation. Here we prove via a set of operator identities that the PCP is not violated within quantum mechanics, regardless of interpretation. |
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Keywords: | Pigeonhole Counting Principle Quantum computing Quantum information Quantum mechanics |
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