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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Format: | Article |
Language: | English |
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Nature Portfolio
2024-02-01
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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. |
first_indexed | 2024-03-07T15:07:19Z |
format | Article |
id | doaj.art-80aedc31a7c34f1d8571f4459ee353fe |
institution | Directory Open Access Journal |
issn | 2045-2322 |
language | English |
last_indexed | 2024-03-07T15:07:19Z |
publishDate | 2024-02-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Scientific Reports |
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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