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

Title: 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)

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 Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
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; PLRAAN; 663646; TRN: US1900969
Journal Information:
Physical Review A, Vol. 97, Issue 4; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (19)

A straightforward introduction to continuous quantum measurement journal September 2006
Fundamental Quantum Limit to Waveform Estimation journal March 2011
Quantum sensing journal July 2017
Quantum Measurement and Control book January 2009
Improved mirror position estimation using resonant quantum smoothing journal May 2015
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
Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing journal September 2009

Cited By (2)

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

Similar Records

A directional Gaussian smoothing optimization method for computational inverse design in nanophotonics
Journal Article · Fri Jan 01 00:00:00 EST 2021 · Materials & Design · OSTI ID:1444090

Extracting forces from noisy dynamics in dusty plasmas
Journal Article · Fri Sep 09 00:00:00 EDT 2022 · Physical Review. E · OSTI ID:1444090

Time-resolved particle image velocimetry
Journal Article · Mon Jun 28 00:00:00 EDT 2021 · Measurement Science and Technology · OSTI ID:1444090

Related Subjects