Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2409.00161

(Un)physical consequences of "Quantum Measurements of Time"

Will Cavendish, Siddhant Das, Markus Nöth, Ali Ayatollah Rafsanjani

Published Aug 30, 2024• 1 citation
arXivHTMLPDF

Abstract

We note that the empirical predictions of the "Quantum Clock Proposal" [L. Maccone and K. Sacha, Phys. Rev. Lett. 124, 110402 (2020)] are paradoxical when viewed as a solution to the quantum arrival-time problem.
DOI
10.48550/arxiv.2409.00161

Related papers

Quantum Measurements of Time: A reply to criticisms

Lorenzo Maccone, Simone Roncallo, Krzysztof Sacha

In [arXiv:2409.00161v1 (2024)] Cavendish et al. raise three criticisms against our time of arrival proposal [L. Maccone and K. Sacha, Phys. Rev. Lett. 124, 110402 (2020)]. Here we show that all three criticisms are without merit. One of them is founded on a logical mistake.

arXiv:2501.10416•Jan 8, 2025•0 citations

Comment on "Quantum Solution to the Arrow-of-Time Dilemma"

Hrvoje Nikolić

In this paper we criticize the attempt of Maccone [Phys. Rev. Lett. 103, 080401 (2009), arXiv:0802.0438] to solve the problem of the arrow of time.

arXiv:0912.1947•Dec 10, 2009•1 citation

The time of arrival in quantum mechanics. 1. Formal considerations

Theoretical Physics

Annals of Physics•Mar 1, 1969•0 citations

Questioning the adequacy of certain quantum arrival-time distributions

Siddhant Das, Ward Struyve

It is shown that a class of exponentially decaying time-of-arrival probability distributions, suggested by W\l{}odarz [Phys. Rev. A 65, 044103 (2002)], Marchewka and Schuss [Phys. Lett. A 240, 177 (1998), Phys. Rev. A 63, 032108 (2001); Phys. Rev. A 65, 042112 (2002)], and Jurman and Nikoli\ifmmode \acute{c}\else \'{c}\fi{} [Phys. Lett. A 396, 127247 (2021)], and a semiclassical distribution implicit in time-of-flight momentum measurements do not show the expected behavior for a Gaussian wave train. This casts doubts on the physical adequacy of these arrival-time proposals. In contrast, the quantum flux distribution (a special case of the Bohmian arrival-time distribution) displays the expected behavior.

arXiv:2105.14744•Physical Review A•Oct 18, 2021•17 citations

The time of arrival in quantum mechanics II. The individual measurement

G. R. Allcock

Annals of Physics•Jun 1, 1969•170 citations

Instantaneous tunneling of relativistic massive spin-0 particles

Philip Caesar Flores, Eric A. Galapon

The tunneling time problem earlier studied in Phys. Rev. Lett 108 170402 (2012) using a non-relativistic time-of-arrival (TOA) operator predicted that tunneling time is instantaneous. This raises the question on whether instantaneous tunneling time is a consequence of using a non-relativistic theory. Here, we extend the analysis by proposing a formalism on the construction of relativistic TOA-operators for spin-0 particles in the presence of an interaction potential via quantization. We then construct the corresponding barrier traversal time operator and impose the condition that the barrier height is less than the rest mass energy of the particle. We show that only the above-barrier energy components of the incident wavepacket's momentum distribution contribute to the barrier traversal time while the below-barrier components are transmitted instantaneously.

arXiv:2207.09040•Jul 19, 2022•0 citations
It is shown that a class of exponentially decaying time-of-arrival probability distributions, suggested by W\l{}odarz [Phys. Rev. A 65, 044103 (2002)], Marchewka and Schuss [Phys. Lett. A 240, 177 (1998), Phys. Rev. A 63, 032108 (2001); Phys. Rev. A 65, 042112 (2002)], and Jurman and Nikoli\ifmmode \acute{c}\else \'{c}\fi{} [Phys. Lett. A 396, 127247 (2021)], and a semiclassical distribution implicit in time-of-flight momentum measurements do not show the expected behavior for a Gaussian wave train. This casts doubts on the physical adequacy of these arrival-time proposals. In contrast, the quantum flux distribution (a special case of the Bohmian arrival-time distribution) displays the expected behavior.
The tunneling time problem earlier studied in Phys. Rev. Lett 108 170402 (2012) using a non-relativistic time-of-arrival (TOA) operator predicted that tunneling time is instantaneous. This raises the question on whether instantaneous tunneling time is a consequence of using a non-relativistic theory. Here, we extend the analysis by proposing a formalism on the construction of relativistic TOA-operators for spin-0 particles in the presence of an interaction potential via quantization. We then construct the corresponding barrier traversal time operator and impose the condition that the barrier height is less than the rest mass energy of the particle. We show that only the above-barrier energy components of the incident wavepacket's momentum distribution contribute to the barrier traversal time while the below-barrier components are transmitted instantaneously.