Optimal approximate quantum error correction for quantum metrology

Zhou, Sisi; Jiang, Liang

doi:10.1103/PhysRevResearch.2.013235

Title: Optimal approximate quantum error correction for quantum metrology

Authors:

;

Publication Date:: Mon Mar 02 00:00:00 EST 2020

Sponsoring Org.:: USDOE

OSTI Identifier:: 1602382

Grant/Contract Number:: SC0019406

Resource Type:: Published Article

Journal Name:: Physical Review Research

Additional Journal Information:: Journal Name: Physical Review Research 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.

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                    Zhou, Sisi, & Jiang, Liang. Optimal approximate quantum error correction for quantum metrology.  United States.  https://doi.org/10.1103/PhysRevResearch.2.013235

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                    Zhou, Sisi, and Jiang, Liang. Mon .  
"Optimal approximate quantum error correction for quantum metrology".  United States.  https://doi.org/10.1103/PhysRevResearch.2.013235.

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@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},

  number       = 1,

  volume       = 2,

  place        = {United States},

  year         = {Mon Mar 02 00:00:00 EST 2020},

  month        = {Mon Mar 02 00:00:00 EST 2020}

}

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Title: Optimal approximate quantum error correction for quantum metrology

Citation Formats

Convex Optimization book, January 2004

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

Many-body effects in quantum metrology journal, May 2019

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

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

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

Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates journal, September 2010

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

Optimum quantum error recovery using semidefinite programming journal, January 2007

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

Ultimate limits for quantum magnetometry via time-continuous measurements journal, December 2017

Perturbative Quantum Error Correction journal, August 2011

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

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

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

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

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

Ultimate Precision Limits for Noisy Frequency Estimation journal, March 2016

Parameter Estimation of Quantum Channels journal, November 2008

Statistical distance and the geometry of quantum states journal, May 1994

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

Convex Optimization
book, January 2004

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

Many-body effects in quantum metrology
journal, May 2019

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

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

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

Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates
journal, September 2010

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

Perturbative Quantum Error Correction
journal, August 2011

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

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

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

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

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

Ultimate Precision Limits for Noisy Frequency Estimation
journal, March 2016

Parameter Estimation of Quantum Channels
journal, November 2008

Statistical distance and the geometry of quantum states
journal, May 1994

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