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Title: Optimal approximate quantum error correction for quantum metrology

Authors:
ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1602382
Grant/Contract Number:  
[SC0019406]
Resource Type:
Published Article
Journal Name:
Physical Review Research (Online)
Additional Journal Information:
[Journal Name: Physical Review Research (Online) Journal Volume: 2 Journal Issue: 1]; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Zhou, Sisi, and Jiang, Liang. Optimal approximate quantum error correction for quantum metrology. United States: N. p., 2020. Web. doi:10.1103/PhysRevResearch.2.013235.
Zhou, Sisi, & Jiang, Liang. Optimal approximate quantum error correction for quantum metrology. United States. doi:10.1103/PhysRevResearch.2.013235.
Zhou, Sisi, and Jiang, Liang. Mon . "Optimal approximate quantum error correction for quantum metrology". United States. doi:10.1103/PhysRevResearch.2.013235.
@article{osti_1602382,
title = {Optimal approximate quantum error correction for quantum metrology},
author = {Zhou, Sisi and Jiang, Liang},
abstractNote = {},
doi = {10.1103/PhysRevResearch.2.013235},
journal = {Physical Review Research (Online)},
number = [1],
volume = [2],
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevResearch.2.013235

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Works referenced in this record:

Spin squeezing and decoherence limit in Ramsey spectroscopy
journal, October 2001


Quantum parameter estimation with optimal control
journal, July 2017


Advances in quantum metrology
journal, March 2011

  • Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
  • Nature Photonics, Vol. 5, Issue 4
  • DOI: 10.1038/nphoton.2011.35

Many-body effects in quantum metrology
journal, May 2019

  • Czajkowski, Jan; Pawłowski, Krzysztof; Demkowicz-Dobrzański, Rafał
  • New Journal of Physics, Vol. 21, Issue 5
  • DOI: 10.1088/1367-2630/ab1fc2

A fibre bundle over manifolds of quantum channels and its application to quantum statistics
journal, May 2008


Advances in photonic quantum sensing
journal, November 2018


Simple approach to approximate quantum error correction based on the transpose channel
journal, June 2010


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

Restoring Heisenberg scaling in noisy quantum metrology by monitoring the environment
journal, December 2018


Ancilla-Free Quantum Error Correction Codes for Quantum Metrology
journal, January 2019


Channel Simulation in Quantum Metrology
journal, March 2018

  • Laurenza, Riccardo; Lupo, Cosmo; Spedalieri, Gaetana
  • Quantum Measurements and Quantum Metrology, Vol. 5, Issue 1
  • DOI: 10.1515/qmetro-2018-0001

Improvement of Frequency Standards with Quantum Entanglement
journal, November 1997


Dissipative quantum error correction and application to quantum sensing with trapped ions
journal, November 2017


General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
journal, March 2011

  • Escher, B. M.; de Matos Filho, R. L.; Davidovich, L.
  • Nature Physics, Vol. 7, Issue 5
  • DOI: 10.1038/nphys1958

Generalizable control for quantum parameter estimation through reinforcement learning
journal, October 2019


Optimum quantum error recovery using semidefinite programming
journal, January 2007


Sensing in the presence of an observed environment
journal, March 2016


Spatial noise filtering through error correction for quantum sensing
journal, July 2018


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

Perturbative Quantum Error Correction
journal, August 2011


Quantum-mechanical noise in an interferometer
journal, April 1981


Using Entanglement Against Noise in Quantum Metrology
journal, December 2014


Noisy Metrology beyond the Standard Quantum Limit
journal, September 2013


Spin squeezing and reduced quantum noise in spectroscopy
journal, December 1992


Quantum metrology with full and fast quantum control
journal, September 2017


Efficient tools for quantum metrology with uncorrelated noise
journal, July 2013


The minimum variance of estimates in quantum signal detection
journal, March 1968


Achieving the Heisenberg limit in quantum metrology using quantum error correction
journal, January 2018


Ultimate Precision of Adaptive Noise Estimation
journal, March 2017


Quantum Error Correction for Metrology
journal, April 2014


Elementary proof for Sion's minimax theorem
journal, January 1988


Increasing Sensing Resolution with Error Correction
journal, April 2014


Improved Quantum Metrology Using Quantum Error Correction
journal, February 2014


Quantum Metrology
journal, January 2006


Quantum-enhanced measurements without entanglement
journal, September 2018


Adaptive Quantum Metrology under General Markovian Noise
journal, October 2017

  • Demkowicz-Dobrzański, Rafał; Czajkowski, Jan; Sekatski, Pavel
  • Physical Review X, Vol. 7, Issue 4
  • DOI: 10.1103/PhysRevX.7.041009

On the generators of quantum dynamical semigroups
journal, June 1976

  • Lindblad, G.
  • Communications in Mathematical Physics, Vol. 48, Issue 2
  • DOI: 10.1007/BF01608499

Reversing quantum dynamics with near-optimal quantum and classical fidelity
journal, January 2002

  • Barnum, H.; Knill, E.
  • Journal of Mathematical Physics, Vol. 43, Issue 5
  • DOI: 10.1063/1.1459754

Quantum metrology with nonclassical states of atomic ensembles
journal, September 2018


Toward Heisenberg-Limited Spectroscopy with Multiparticle Entangled States
journal, June 2004


Magnetic field sensing beyond the standard quantum limit under the effect of decoherence
journal, July 2011


Robust quantum metrological schemes based on protection of quantum Fisher information
journal, June 2015

  • Lu, Xiao-Ming; Yu, Sixia; Oh, C. H.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8282

Completely positive dynamical semigroups of N-level systems
journal, January 1976

  • Gorini, Vittorio
  • Journal of Mathematical Physics, Vol. 17, Issue 5
  • DOI: 10.1063/1.522979

Quantum Estimation for Quantum Technology
journal, January 2009


Quantum sensing
journal, July 2017


Fundamental quantum interferometry bound for the squeezed-light-enhanced gravitational wave detector GEO 600
journal, October 2013

  • Demkowicz-Dobrzański, Rafał; Banaszek, Konrad; Schnabel, Roman
  • Physical Review A, Vol. 88, Issue 4
  • DOI: 10.1103/PhysRevA.88.041802

Ultimate Precision Limits for Noisy Frequency Estimation
journal, March 2016


Parameter Estimation of Quantum Channels
journal, November 2008

  • Ji, Zhengfeng; Wang, Guoming; Duan, Runyao
  • IEEE Transactions on Information Theory, Vol. 54, Issue 11
  • DOI: 10.1109/TIT.2008.929940

Sequential Feedback Scheme Outperforms the Parallel Scheme for Hamiltonian Parameter Estimation
journal, October 2016


Squeezed spin states
journal, June 1993


Performance and structure of single-mode bosonic codes
journal, March 2018


Quantum Metrology in Non-Markovian Environments
journal, December 2012


Theory of quantum error-correcting codes
journal, February 1997


Fault-tolerant quantum metrology
journal, August 2019


General Conditions for Approximate Quantum Error Correction and Near-Optimal Recovery Channels
journal, March 2010


Symmetric Gauge Functions and Unitarily Invariant Norms
journal, January 1960