On the Spin Dependence of Detection Times and the Nonmeasurability of Arrival Times

• URL: http://arxiv.org/abs/2309.11835v1
• Date: Thu, 21 Sep 2023 07:18:24 GMT
• Title: On the Spin Dependence of Detection Times and the Nonmeasurability of Arrival Times
• Authors: Sheldon Goldstein, Roderich Tumulka, Nino Zangh\`i
• Abstract summary: According to a well-known principle of quantum physics, the statistics of the outcomes of any quantum experiment are governed by a Positive Operator-Valued Measure (POVM) In particular, for experiments designed to measure a specific physical quantity, like the time of a particle's first arrival at a surface, this principle establishes that if the probability distribution of that quantity does not arise from a POVM, no such experiment exists.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: According to a well-known principle of quantum physics, the statistics of the outcomes of any quantum experiment are governed by a Positive Operator-Valued Measure (POVM). In particular, for experiments designed to measure a specific physical quantity, like the time of a particle's first arrival at a surface, this principle establishes that if the probability distribution of that quantity does not arise from a POVM, no such experiment exists. Such is the case with the arrival time distributions proposed by Das and D\"urr [arXiv:1802.07141], due to the nature of their spin dependence.

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