Bounding the Minimum Time of a Quantum Measurement

Shettell, Nathan; Centrone, Federico; García-Pintos Barcia, Luis Pedro

doi:10.22331/q-2023-11-14-1182

Title: Bounding the Minimum Time of a Quantum Measurement

Journal Article · 13 November 2023 · Quantum

DOI: https://doi.org/10.22331/q-2023-11-14-1182 · OSTI ID:2282537

Shettell, Nathan ^[1]; Centrone, Federico ^[2];

^[3]

National Univ. of Singapore (Singapore)
Barcelona Institute of Science and Technology (BIST), Tarragona (Spain); Inst. of Photonic Sciences (ICFO), Barcelona (Spain)
Univ. of Maryland, College Park, MD (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Measurements take a singular role in quantum theory. While they are often idealized as an instantaneous process, this is in conflict with all other physical processes in nature. In this Letter, we adopt a standpoint where the interaction with an environment is a crucial ingredient for the occurrence of a measurement. Within this framework, we derive lower bounds on the time needed for a measurement to occur. Our bound scales proportionally to the change in entropy of the measured system, and decreases as the number of of possible measurement outcomes or the interaction strength driving the measurement increases. We evaluate our bound in two examples where the environment is modelled by bosonic modes and the measurement apparatus is modelled by spins or bosons.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; SC0020312; SC0019040; AC52-06NA25396

OSTI ID:: 2282537

Report Number(s):: LA-UR--23-20159

Journal Information:: Quantum, Journal Name: Quantum Vol. 7; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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