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Title: Quantum speed limits under continuous quantum measurements

Abstract

The pace of evolution of physical systems is fundamentally constrained by quantum speed limits (QSL), which have found broad applications in quantum science and technology. We consider the speed of evolution for quantum systems undergoing stochastic dynamics due to continuous measurements. It is shown that that there are trajectories for which standard QSL are violated, and we provide estimates for the range of velocities in an ensemble of realizations of continuous measurement records. We determine the dispersion of the speed of evolution and characterize the full statistics of single trajectories. By characterizing the dispersion of the Bures angle, we further show that continuous quantum measurements induce Brownian dynamics in Hilbert space.

Authors:
 [1];  [2]
  1. Univ. of Massachusetts, Boston, MA (United States)
  2. Univ. of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1525831
Report Number(s):
LA-UR-18-22866
Journal ID: ISSN 1367-2630
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 21; Journal Issue: 3; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Atomic and Nuclear Physics; quantum speed limits; continuous quantum measurements; monitored quantum systems

Citation Formats

García-Pintos, Luis Pedro, and del Campo, Adolfo. Quantum speed limits under continuous quantum measurements. United States: N. p., 2019. Web. doi:10.1088/1367-2630/ab099e.
García-Pintos, Luis Pedro, & del Campo, Adolfo. Quantum speed limits under continuous quantum measurements. United States. doi:10.1088/1367-2630/ab099e.
García-Pintos, Luis Pedro, and del Campo, Adolfo. Tue . "Quantum speed limits under continuous quantum measurements". United States. doi:10.1088/1367-2630/ab099e. https://www.osti.gov/servlets/purl/1525831.
@article{osti_1525831,
title = {Quantum speed limits under continuous quantum measurements},
author = {García-Pintos, Luis Pedro and del Campo, Adolfo},
abstractNote = {The pace of evolution of physical systems is fundamentally constrained by quantum speed limits (QSL), which have found broad applications in quantum science and technology. We consider the speed of evolution for quantum systems undergoing stochastic dynamics due to continuous measurements. It is shown that that there are trajectories for which standard QSL are violated, and we provide estimates for the range of velocities in an ensemble of realizations of continuous measurement records. We determine the dispersion of the speed of evolution and characterize the full statistics of single trajectories. By characterizing the dispersion of the Bures angle, we further show that continuous quantum measurements induce Brownian dynamics in Hilbert space.},
doi = {10.1088/1367-2630/ab099e},
journal = {New Journal of Physics},
number = 3,
volume = 21,
place = {United States},
year = {2019},
month = {3}
}

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