skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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. https://doi.org/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 = {2019},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

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

Save / Share:

Works referenced in this record:

The elusive Heisenberg limit in quantum-enhanced metrology
journal, January 2012

  • Demkowicz-Dobrzański, Rafał; Kołodyński, Jan; Guţă, Mădălin
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms2067

Nonlinear Quantum Metrology of Many-Body Open Systems
journal, July 2017


Optimal Control at the Quantum Speed Limit
journal, December 2009


Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model
journal, September 2012


Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
journal, September 2016

  • An, Shuoming; Lv, Dingshun; del Campo, Adolfo
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12999

Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
journal, October 2017

  • Deffner, Sebastian; Campbell, Steve
  • Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 45
  • DOI: 10.1088/1751-8121/aa86c6

Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity
journal, March 2017


Universal Work Fluctuations During Shortcuts to Adiabaticity by Counterdiabatic Driving
journal, March 2017


The maximum speed of dynamical evolution
journal, September 1998


Ultimate physical limits to computation
journal, August 2000


Computational Capacity of the Universe
journal, May 2002


Quantum limits to dynamical evolution
journal, May 2003


More bang for your buck: Super-adiabatic quantum engines
journal, August 2014

  • Campo, A. del; Goold, J.; Paternostro, M.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep06208

Enhancing the Charging Power of Quantum Batteries
journal, April 2017


Quantum speed limits, coherence, and asymmetry
journal, May 2016


Colloquium : Quantum coherence as a resource
journal, October 2017


Quantum Speed Limits across the Quantum-to-Classical Transition
journal, February 2018


Quantum Speed Limit is Not Quantum
journal, February 2018


Quantum Speed Limit for Physical Processes
journal, January 2013


Quantum Speed Limits in Open System Dynamics
journal, January 2013


Quantum Speed Limit for Non-Markovian Dynamics
journal, July 2013


Quantum Speed Limits for Leakage and Decoherence
journal, November 2015


Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
journal, April 2017


Nonexponential Quantum Decay under Environmental Decoherence
journal, September 2017


Quantum restrictions for continuous observation of an oscillator
journal, July 1979


Stochastic pure state representation for open quantum systems
journal, March 1986


Quantum mechanics of measurements distributed in time. A path-integral formulation
journal, March 1986


Continuous quantum measurement and itô formalism
journal, June 1988


Measurements continuous in time and a posteriori states in quantum mechanics
journal, April 1991

  • Barchielli, A.; Belavkin, V. P.
  • Journal of Physics A: Mathematical and General, Vol. 24, Issue 7
  • DOI: 10.1088/0305-4470/24/7/022

Continuous quantum measurements: Restricted path integrals and master equations
journal, December 1994


Quantum trajectories and quantum measurement theory
journal, February 1996

  • Wiseman, H. M.
  • Quantum and Semiclassical Optics: Journal of the European Optical Society Part B, Vol. 8, Issue 1
  • DOI: 10.1088/1355-5111/8/1/015

Selective quantum evolution of a qubit state due to continuous measurement
journal, February 2001


Observing single quantum trajectories of a superconducting quantum bit
journal, October 2013

  • Murch, K. W.; Weber, S. J.; Macklin, C.
  • Nature, Vol. 502, Issue 7470
  • DOI: 10.1038/nature12539

Mapping the optimal route between two quantum states
journal, July 2014

  • Weber, S. J.; Chantasri, A.; Dressel, J.
  • Nature, Vol. 511, Issue 7511
  • DOI: 10.1038/nature13559

Observing Quantum State Diffusion by Heterodyne Detection of Fluorescence
journal, January 2016


Sensitivity optimization in quantum parameter estimation
journal, August 2001


Efficient Quantum-State Estimation by Continuous Weak Measurement and Dynamical Control
journal, October 2006


Single-shot parameter estimation via continuous quantum measurement
journal, February 2009


Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
journal, September 2009


Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing
journal, March 2010


Frequency tracking and parameter estimation for robust quantum state estimation
journal, November 2011


Quantum Brachistochrone Curves as Geodesics: Obtaining Accurate Minimum-Time Protocols for the Control of Quantum Systems
journal, April 2015


Bayesian parameter estimation by continuous homodyne detection
journal, September 2016


Rapid estimation of drifting parameters in continuously measured quantum systems
journal, January 2017


Ultimate limits for quantum magnetometry via time-continuous measurements
journal, December 2017

  • Albarelli, Francesco; Rossi, Matteo A. C.; Paris, Matteo G. A.
  • New Journal of Physics, Vol. 19, Issue 12
  • DOI: 10.1088/1367-2630/aa9840

Feedback control of quantum systems using continuous state estimation
journal, October 1999


Continuous quantum error correction via quantum feedback control
journal, March 2002


Quantum error correction for continuously detected errors
journal, May 2003


Feedback Control of Nonlinear Quantum Systems: A Rule of Thumb
journal, July 2007


Quantum discord for two-qubit X states
journal, April 2010


Deterministic entanglement of superconducting qubits by parity measurement and feedback
journal, October 2013

  • Ristè, D.; Dukalski, M.; Watson, C. A.
  • Nature, Vol. 502, Issue 7471
  • DOI: 10.1038/nature12513

Incoherent Qubit Control Using the Quantum Zeno Effect
journal, January 2018


Superconducting Circuits for Quantum Information: An Outlook
journal, March 2013


Experimental violation of a Bell’s inequality in time with weak measurement
journal, April 2010

  • Palacios-Laloy, Agustin; Mallet, François; Nguyen, François
  • Nature Physics, Vol. 6, Issue 6
  • DOI: 10.1038/nphys1641

Observation of Measurement-Induced Entanglement and Quantum Trajectories of Remote Superconducting Qubits
journal, April 2014


Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
journal, May 2018


Mixed-State Evolution in the Presence of Gain and Loss
journal, December 2012


Density operators as an arena for differential geometry
journal, August 1993


Fidelity for Mixed Quantum States
journal, December 1994


Generalized Geometric Quantum Speed Limits
journal, June 2016

  • Pires, Diego Paiva; Cianciaruso, Marco; Céleri, Lucas C.
  • Physical Review X, Vol. 6, Issue 2
  • DOI: 10.1103/PhysRevX.6.021031

An energy dispersion estimate
journal, January 1992


Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems
journal, June 2001


A straightforward introduction to continuous quantum measurement
journal, September 2006


Statistical distance and the geometry of quantum states
journal, May 1994


Generalized Uncertainty Relations: Theory, Examples, and Lorentz Invariance
journal, April 1996

  • Braunstein, Samuel L.; Caves, Carlton M.; Milburn, G. J.
  • Annals of Physics, Vol. 247, Issue 1
  • DOI: 10.1006/aphy.1996.0040

    Works referencing / citing this record:

    Tight, robust, and feasible quantum speed limits for open dynamics
    journal, August 2019


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.