Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Smoothing of Gaussian quantum dynamics for force detection

Journal Article · · Physical Review A
 [1];  [2]
  1. Univ. of Colorado, Boulder, CO (United States)
  2. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
+ Show Author Affiliations
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.
Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1444090
Alternate ID(s):
OSTI ID: 1432573
Report Number(s):
SAND--2018-5854J; 663646
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 97; ISSN PLRAAN; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (19)

States, Effects, and Operations Fundamental Notions of Quantum Theory book January 1983
Quantum Measurement and Control book January 2009
Cavity-mediated coupling of mechanical oscillators limited by quantum back-action journal October 2015
Measuring nanomechanical motion with a microwave cavity interferometer journal May 2008
A straightforward introduction to continuous quantum measurement journal September 2006
Quantum trajectories and quantum measurement theory journal February 1996
Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation journal February 2002
Gaussian localizable entanglement journal June 2007
Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing journal September 2009
Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy’s paradox journal January 2010
Prediction and retrodiction with continuously monitored Gaussian states journal December 2017
Quantum Imaging beyond the Diffraction Limit by Optical Centroid Measurements journal June 2009
Fundamental Quantum Limit to Waveform Estimation journal March 2011
Past Quantum States of a Monitored System journal October 2013
Quantum State Smoothing journal October 2015
Optimal Unravellings for Feedback Control in Linear Quantum Systems journal February 2005
Quantum sensing journal July 2017
A tutorial introduction to estimation and filtering journal December 1971
Improved mirror position estimation using resonant quantum smoothing journal May 2015

Cited By (3)

Simultaneous retrodiction of multimode optomechanical systems using matched filters journal February 2020
Quantum State Smoothing for Linear Gaussian Systems journal May 2019
Quantum State Smoothing for Linear Gaussian Systems text January 2019

Similar Records

Gaussian approximation and single-spin measurement in magnetic resonance force microscopy with spin noise
Journal Article · Sun Nov 14 23:00:00 EST 2010 · Physical Review. A · OSTI ID:21528598
NON-GAUSSIANITIES IN THE LOCAL CURVATURE OF THE FIVE-YEAR WMAP DATA
Journal Article · Tue Jul 20 00:00:00 EDT 2010 · Astrophysical Journal · OSTI ID:21455170

Related Subjects

97 MATHEMATICS AND COMPUTING