Coherence and quantum correlations measure sensitivity to dephasing channels
arXiv:1810.02795 · doi:10.1103/PhysRevA.99.012329
Abstract
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.
arXiv comment4+2 pages, minor changes, link with previous results clarified
References in corpus (39)
- Advances in Quantum Metrology
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantum Coherence as a Resource
- The classical-quantum boundary for correlations: discord and related measures
- Operational Resource Theory of Coherence
- Measuring Quantum Coherence with Entanglement
- Reference frames, superselection rules, and quantum information
- Robustness of coherence: An operational and observable measure of quantum coherence
- Observable measure of quantum coherence in finite dimensional systems
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- Scalable Noise Estimation with Random Unitary Operators
- The resource theory of quantum reference frames: manipulations and monotones
- Converting Coherence to Quantum Correlations
- Measures and applications of quantum correlations
- Quantum discord determines the interferometric power of quantum states
- (Quantumness in the context of) Resource Theories
- Quantum speed limits, coherence and asymmetry
- Conditions for coherence transformations under incoherent operations
- Quantum Computing with NMR
- Behavior of Quantum Correlations under Local Noise
- Covariance and Fisher information in quantum mechanics
- Quantum processes which do not use coherence
- Discontinuities of the quantum Fisher information and the Bures metric
- A general framework for quantum macroscopicity in terms of coherence
- Characterizing nonclassical correlations via local quantum Fisher information
- Necessary and sufficient conditions for local creation of quantum correlation
- Experimental Realization of Optimal Noise Estimation for a General Pauli Channel
- Detecting metrologically useful asymmetry and entanglement by a few local measurements
- Understanding nature from experimental observations: a theory independent test for gravitational decoherence
- Converting multilevel nonclassicality into genuine multipartite entanglement
- Quantifying genuine multipartite correlations and their pattern complexity
- Discriminating Strength: a bona fide measure of non-classical correlations
- Gaussian Discriminating Strength
- Mixed state Pauli channel parameter estimation
- There is more to quantum interferometry than entanglement
- Necessary and sufficient conditions for local creation of quantum discord
- Experimental characterization of quantum dynamics through many-body interactions
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- Quantifying quantum coherence in a metal-silicate framework
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- Entanglement dynamics of a dc SQUID interacting with a single-mode radiation field
- Resource theory of dephasing estimation in multiqubit systems
- Quantum partial coherence measures constructed from Fisher information