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:: 2018-04-10

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         = {2018},

  month        = {4}

}

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Works referenced in this record:

A straightforward introduction to continuous quantum measurement
journal, September 2006

Jacobs, Kurt; Steck, Daniel A.
Contemporary Physics, Vol. 47, Issue 5
DOI: 10.1080/00107510601101934

Fundamental Quantum Limit to Waveform Estimation
journal, March 2011

Tsang, Mankei; Wiseman, Howard M.; Caves, Carlton M.
Physical Review Letters, Vol. 106, Issue 9
DOI: 10.1103/PhysRevLett.106.090401

Quantum sensing
journal, July 2017

Degen, C. L.; Reinhard, F.; Cappellaro, P.
Reviews of Modern Physics, Vol. 89, Issue 3
DOI: 10.1103/RevModPhys.89.035002

Improved mirror position estimation using resonant quantum smoothing
journal, May 2015

Wheatley, Trevor A.; Tsang, Mankei; Petersen, Ian R.
EPJ Quantum Technology, Vol. 2, Issue 1
DOI: 10.1140/epjqt/s40507-015-0026-0

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

Kraus, Karl; Böhm, A.; Dollard, J. D.
DOI: 10.1007/3-540-12732-1

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

Regal, C. A.; Teufel, J. D.; Lehnert, K. W.
Nature Physics, Vol. 4, Issue 7
DOI: 10.1038/nphys974

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

A tutorial introduction to estimation and filtering
journal, December 1971

Rhodes, I.
IEEE Transactions on Automatic Control, Vol. 16, Issue 6
DOI: 10.1109/TAC.1971.1099833

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

Zhang, Jinglei; Mølmer, Klaus
Physical Review A, Vol. 96, Issue 6
DOI: 10.1103/PhysRevA.96.062131

Gaussian localizable entanglement
journal, June 2007

Fiurášek, Jaromír; Mišta, Ladislav
Physical Review A, Vol. 75, Issue 6
DOI: 10.1103/PhysRevA.75.060302

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

Spethmann, Nicolas; Kohler, Jonathan; Schreppler, Sydney
Nature Physics, Vol. 12, Issue 1
DOI: 10.1038/nphys3515

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

Wiseman, H. M.
Physical Review A, Vol. 65, Issue 3
DOI: 10.1103/PhysRevA.65.032111

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

Tsang, Mankei
Physical Review A, Vol. 81, Issue 1
DOI: 10.1103/PhysRevA.81.013824

Past Quantum States of a Monitored System
journal, October 2013

Gammelmark, Søren; Julsgaard, Brian; Mølmer, Klaus
Physical Review Letters, Vol. 111, Issue 16
DOI: 10.1103/PhysRevLett.111.160401

Quantum State Smoothing
journal, October 2015

Guevara, Ivonne; Wiseman, Howard
Physical Review Letters, Vol. 115, Issue 18
DOI: 10.1103/PhysRevLett.115.180407

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

Tsang, Mankei
Physical Review Letters, Vol. 102, Issue 25
DOI: 10.1103/PhysRevLett.102.253601

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

Wiseman, H. M.; Doherty, A. C.
Physical Review Letters, Vol. 94, Issue 7
DOI: 10.1103/PhysRevLett.94.070405

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

Tsang, Mankei
Physical Review A, Vol. 80, Issue 3
DOI: 10.1103/PhysRevA.80.033840

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
journal, May 2019

Laverick, Kiarn T.; Chantasri, Areeya; Wiseman, Howard M.
Physical Review Letters, Vol. 122, Issue 19
DOI: 10.1103/physrevlett.122.190402

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

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

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Measuring nanomechanical motion with a microwave cavity interferometer
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Quantum trajectories and quantum measurement theory
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Prediction and retrodiction with continuously monitored Gaussian states
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Gaussian localizable entanglement
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Cavity-mediated coupling of mechanical oscillators limited by quantum back-action
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Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy’s paradox
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Past Quantum States of a Monitored System
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