Characterizing nonclassical correlations via local quantum Fisher information

Kim, Sunho; Li, Longsuo; Kumar, Asutosh; Wu, Junde

doi:10.1103/physreva.97.032326

Cited by 75 publications

(69 citation statements)

References 32 publications

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“…Local quantum Fisher information was introduced to deal with pairwise quantum correlations of discord type [28]. This quantifier enables us to gain a deeper insight on how quantum correlations are instrumental in setting metrological precision.…”

Section: Local Quantum Fisher Informationmentioning

confidence: 99%

“…Indeed, it is non-negative and vanishes for zero discord bipartite states (classically correlated states). It is invariant under any local unitary operation and coincides with the geometric discord for pure quantum states [28]. The quantification of quantum correlations in terms of local quantum Fisher information Q (ρ) is defined as the minimum quantum Fisher information over all local Hamiltonians H A acting on the A-part [28] Q (ρ) = min…”

Section: Local Quantum Fisher Informationmentioning

confidence: 99%

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A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg XY model

et al. 2019

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Recently, it has been shown that the quantum Fisher information via local observables and via local measurements (i.e., local quantum Fisher information (LQFI)) is a central concept in quantum estimation and quantum metrology and captures the quantumness of correlations in multi-component quantum system [S. Kim et al., Phys. Rev. A. 97, 032326 (2018)]. This new discord-like measure is very similar to the quantum correlations measure called local quantum uncertainty (LQU). In the present study, we have revealed that LQU is bounded by LQFI in the phase estimation protocol. Also, a comparative study between these two quantum correlations quantifiers is addressed for the quantum Heisenberg XY model. Two distinct situations are considered. The first one concerns the anisotropic XY model and the second situation concerns isotropic XY model submitted to an external magnetic field. Our results confirm that LQFI reveals more quantum correlations than LQU.

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Section: Local Quantum Fisher Informationmentioning

confidence: 99%

Section: Local Quantum Fisher Informationmentioning

confidence: 99%

A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg XY model

et al. 2019

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“…Properties close to (D1-4) have been shown to hold for this measure (although built from a different subset of CPOs) [43]. A recent work [44] introduces a related measure based on unitary QFI, but without a clear operational meaning.…”

Section: D4) Monotonicity Under Local Ecpos On the Measured Subsystemmentioning

confidence: 94%

Coherence and quantum correlations measure sensitivity to dephasing channels

et al. 2019

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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.

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“…Local quantum Fisher information was introduced to deal with pairwise quantum measures of discord type. The local quantum Fisher information Q(ρ) is defined as the minimum quantum Fisher information over all local Hamiltonians H A acting on the subsystem A [18],…”

Section: Preliminariesmentioning

confidence: 99%