DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Coherence and quantum correlations measure sensitivity to dephasing channels

Journal Article · · Physical Review A
 [1];  [1];  [2];  [3]
  1. Univ. of Oxford (United Kingdom)
  2. Univ. de Cordoba, Monteria (Columbia); Univ. del Valle, Cali (Colombia)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We introduce measures of quantum coherence as the speed of evolution of a system under decoherence. That is, coherence is the ability to estimate a dephasing channel, quantified by the quantum Fisher information. We extend the analysis to interferometric noise estimation, proving that quantum discord is the minimum sensitivity to local dephasing. A physically motivated set of free operations for discord is proposed. The amount of discord created by strictly incoherent operations is upper-bounded by the initial coherence.

Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1492541
Report Number(s):
LA-UR-18-29513
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 99; ISSN PLRAAN; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (45)

Quantum detection and estimation theory journal January 1969
Quantum computing with NMR journal August 2011
Quantum Computation and Quantum Information book January 2011
A universal test for gravitational decoherence journal October 2016
Advances in quantum metrology journal March 2011
Information Contents of Distributions journal June 1963
Classical, quantum and total correlations journal August 2001
Covariance and Fisher information in quantum mechanics journal January 2002
Quantum parameter estimation of a generalized Pauli channel journal July 2003
The resource theory of quantum reference frames: manipulations and monotones journal March 2008
Discriminating strength: a bona fide measure of non-classical correlations journal July 2014
Converting multilevel nonclassicality into genuine multipartite entanglement journal March 2018
Scalable noise estimation with random unitary operators journal September 2005
Necessary and sufficient conditions for the local creation of quantum discord journal March 2013
Measures and applications of quantum correlations journal November 2016
Necessary and sufficient conditions for local creation of quantum correlation journal March 2012
Mixed-state Pauli-channel parameter estimation journal March 2013
Conditions for coherence transformations under incoherent operations journal May 2015
Gaussian discriminating strength journal October 2015
General framework for quantum macroscopicity in terms of coherence journal February 2016
Quantum speed limits, coherence, and asymmetry journal May 2016
There is more to quantum interferometry than entanglement journal May 2017
Discontinuities of the quantum Fisher information and the Bures metric journal May 2017
Detecting metrologically useful asymmetry and entanglement by a few local measurements journal October 2017
Characterizing nonclassical correlations via local quantum Fisher information journal March 2018
Behavior of Quantum Correlations under Local Noise journal October 2011
Experimental Realization of Optimal Noise Estimation for a General Pauli Channel journal December 2011
Experimental Characterization of Quantum Dynamics Through Many-Body Interactions journal February 2013
Characterizing Nonclassical Correlations via Local Quantum Uncertainty journal June 2013
Quantum Discord Determines the Interferometric Power of Quantum States journal May 2014
Quantifying Coherence journal September 2014
Observable Measure of Quantum Coherence in Finite Dimensional Systems journal October 2014
Measuring Quantum Coherence with Entanglement journal July 2015
Operational Resource Theory of Coherence journal March 2016
Robustness of Coherence: An Operational and Observable Measure of Quantum Coherence journal April 2016
Converting Coherence to Quantum Correlations journal April 2016
Critical Examination of Incoherent Operations and a Physically Consistent Resource Theory of Quantum Coherence journal July 2016
Quantifying Genuine Multipartite Correlations and their Pattern Complexity journal October 2017
Quantum Discord: A Measure of the Quantumness of Correlations journal December 2001
Quantum Processes Which Do Not Use Coherence journal November 2016
Reference frames, superselection rules, and quantum information journal April 2007
The classical-quantum boundary for correlations: Discord and related measures journal November 2012
Colloquium : Quantum coherence as a resource journal October 2017
(Quantumness in the Context of) Resource Theories journal November 2012
Quantum Estimation for Quantum Technology journal January 2009