Smoothing of Gaussian quantum dynamics for force detection

Huang, Zhishen; Sarovar, Mohan

doi:10.1103/PhysRevA.97.042106

Title: Smoothing of Gaussian quantum dynamics for force detection

Abstract

Building on recent work by Gammelmark et al. we develop a formalism for prediction and retrodiction of Gaussian quantum systems undergoing continuous measurements. We apply the resulting formalism to study the advantage of incorporating a full measurement record and retrodiction for impulselike force detection and accelerometry. Here, we find that using retrodiction can only increase accuracy in a limited parameter regime, but that the reduction in estimation noise that it yields results in better detection of impulselike forces.

Authors:

Huang, Zhishen ^[1]; Sarovar, Mohan ^[2]

Univ. of Colorado, Boulder, CO (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Publication Date:: Tue Apr 10 00:00:00 EDT 2018

Research Org.:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1444090

Alternate Identifier(s):: OSTI ID: 1432573

Report Number(s):: SAND-2018-5854J
Journal ID: ISSN 2469-9926; PLRAAN; 663646; TRN: US1900969

Grant/Contract Number:: AC04-94AL85000; NA0003525

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review A

Additional Journal Information:: Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2469-9926

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Huang, Zhishen, and Sarovar, Mohan. Smoothing of Gaussian quantum dynamics for force detection.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevA.97.042106.

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                    Huang, Zhishen, & Sarovar, Mohan. Smoothing of Gaussian quantum dynamics for force detection.  United States.  https://doi.org/10.1103/PhysRevA.97.042106

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                    Huang, Zhishen, and Sarovar, Mohan. Tue .  
"Smoothing of Gaussian quantum dynamics for force detection".  United States.  https://doi.org/10.1103/PhysRevA.97.042106.  https://www.osti.gov/servlets/purl/1444090.

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@article{osti_1444090,

  title        = {Smoothing of Gaussian quantum dynamics for force detection},

  author       = {Huang, Zhishen and Sarovar, Mohan},

  abstractNote = {Building on recent work by Gammelmark et al. we develop a formalism for prediction and retrodiction of Gaussian quantum systems undergoing continuous measurements. We apply the resulting formalism to study the advantage of incorporating a full measurement record and retrodiction for impulselike force detection and accelerometry. Here, we find that using retrodiction can only increase accuracy in a limited parameter regime, but that the reduction in estimation noise that it yields results in better detection of impulselike forces.},

  doi          = {10.1103/PhysRevA.97.042106},

  journal      = {Physical Review A},

  number       = 4,

  volume       = 97,

  place        = {United States},

  year         = {Tue Apr 10 00:00:00 EDT 2018},

  month        = {Tue Apr 10 00:00:00 EDT 2018}

}

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Works referenced in this record:

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Works referencing / citing this record:

Simultaneous retrodiction of multimode optomechanical systems using matched filters
journal, February 2020

Kohler, Jonathan; Gerber, Justin A.; Deist, Emma
Physical Review A, Vol. 101, Issue 2
DOI: 10.1103/physreva.101.023804

Quantum State Smoothing for Linear Gaussian Systems
text, January 2019

Laverick, Kiarn T.; Chantasri, Areeya; Wiseman, Howard M.
arXiv
DOI: 10.48550/arxiv.1901.00225

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Title: Smoothing of Gaussian quantum dynamics for force detection

Abstract

Citation Formats

A straightforward introduction to continuous quantum measurement journal, September 2006

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Quantum sensing journal, July 2017

Quantum Measurement and Control book, January 2009

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States, Effects, and Operations Fundamental Notions of Quantum Theory book, January 1983

Measuring nanomechanical motion with a microwave cavity interferometer journal, May 2008

Quantum trajectories and quantum measurement theory journal, February 1996

A tutorial introduction to estimation and filtering journal, December 1971

Prediction and retrodiction with continuously monitored Gaussian states journal, December 2017

Gaussian localizable entanglement journal, June 2007

Cavity-mediated coupling of mechanical oscillators limited by quantum back-action journal, October 2015

Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation journal, February 2002

Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy’s paradox journal, January 2010

Past Quantum States of a Monitored System journal, October 2013

Quantum State Smoothing journal, October 2015

Quantum Imaging beyond the Diffraction Limit by Optical Centroid Measurements journal, June 2009

Optimal Unravellings for Feedback Control in Linear Quantum Systems journal, February 2005

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Simultaneous retrodiction of multimode optomechanical systems using matched filters journal, February 2020

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A straightforward introduction to continuous quantum measurement
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Fundamental Quantum Limit to Waveform Estimation
journal, March 2011

Quantum sensing
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Quantum Measurement and Control
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Improved mirror position estimation using resonant quantum smoothing
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States, Effects, and Operations Fundamental Notions of Quantum Theory
book, January 1983

Measuring nanomechanical motion with a microwave cavity interferometer
journal, May 2008

Quantum trajectories and quantum measurement theory
journal, February 1996

A tutorial introduction to estimation and filtering
journal, December 1971

Prediction and retrodiction with continuously monitored Gaussian states
journal, December 2017

Gaussian localizable entanglement
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Cavity-mediated coupling of mechanical oscillators limited by quantum back-action
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Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation
journal, February 2002

Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy’s paradox
journal, January 2010

Past Quantum States of a Monitored System
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