Bounding the Minimum Time of a Quantum Measurement

Author:

Shettell Nathan1,Centrone Federico2,García-Pintos Luis Pedro34

Affiliation:

1. Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore

2. ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain

3. Joint Center for Quantum Information and Computer Science and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA

4. Theoretical Division (T4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Abstract

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.

Funder

Severo Ochoa

DoE ASCR Quantum Testbed Pathfinder program

ARO MURI, DoE QSA, NSF QLCI

DoE ASCR Acceler- ated Research in Quantum Computing program

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics

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