On the spin dependence of detection times and the nonmeasurability of arrival times

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 ar...

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Main Authors: Sheldon Goldstein, Roderich Tumulka, Nino Zanghì
Format: Article
Language:English
Published: Nature Portfolio 2024-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-53777-8
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author Sheldon Goldstein
Roderich Tumulka
Nino Zanghì
author_facet Sheldon Goldstein
Roderich Tumulka
Nino Zanghì
author_sort Sheldon Goldstein
collection DOAJ
description 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 Dürr, due to the nature of their spin dependence.
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spelling doaj.art-80aedc31a7c34f1d8571f4459ee353fe2024-03-05T18:52:20ZengNature PortfolioScientific Reports2045-23222024-02-011411310.1038/s41598-024-53777-8On the spin dependence of detection times and the nonmeasurability of arrival timesSheldon Goldstein0Roderich Tumulka1Nino Zanghì2Departments of Mathematics and Physics, Rutgers UniversityFachbereich Mathematik, Eberhard-Karls-Universität TübingenDipartimento di Fisica, Università di GenovaAbstract 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 Dürr, due to the nature of their spin dependence.https://doi.org/10.1038/s41598-024-53777-8
spellingShingle Sheldon Goldstein
Roderich Tumulka
Nino Zanghì
On the spin dependence of detection times and the nonmeasurability of arrival times
Scientific Reports
title On the spin dependence of detection times and the nonmeasurability of arrival times
title_full On the spin dependence of detection times and the nonmeasurability of arrival times
title_fullStr On the spin dependence of detection times and the nonmeasurability of arrival times
title_full_unstemmed On the spin dependence of detection times and the nonmeasurability of arrival times
title_short On the spin dependence of detection times and the nonmeasurability of arrival times
title_sort on the spin dependence of detection times and the nonmeasurability of arrival times
url https://doi.org/10.1038/s41598-024-53777-8
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