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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 Laboratory (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. https://doi.org/10.1088/1367-2630/ab099e
García-Pintos, Luis Pedro, and del Campo, Adolfo. Tue . "Quantum speed limits under continuous quantum measurements". United States. https://doi.org/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 = {Tue Mar 19 00:00:00 EDT 2019},
month = {Tue Mar 19 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 30 works
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Figures / Tables:

Figure 1 Figure 1: Probability distribution of the conditioned velocity $\mathcal{Vc}$ . The continuous blue line denotes the estimated probability distribution constructed from 104 realizations of the velocity $\mathcal{Vc}$ conditioned to a set of outcomes from the continuous measurements of $σ$$z$ on a qubit, with a measurement constant $κ$ = $ω$/4 andmore » a total duration $τ$=$ω$. The black line marks the standard quantum speed limit $\mathcal{V}$QSL, given by equation (6), obtained from the ensemble-averaged state that an observer with no knowledge of the measurement outcomes would assign to the system. The shaded region illustrates the fraction of trajectories (more than 35%) that have a conditioned velocity which violates the ensemble-averaged quantum speed limit, $\mathcal{Vc}$ > $\mathcal{V}$QSL.« less

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Tight, robust, and feasible quantum speed limits for open dynamics
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.