Super fidelity and related metrics

Chen, Zhihua; Ma, Zhihao; Zhang, Fu-Lin; Chen, Jing-Ling

doi:10.2478/s11534-010-0123-8

Cited by 8 publications

(5 citation statements)

References 28 publications

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“…In quantum information theory, distinguishing two quantum states is a fundamental task. One of the main tools used in distinguishability theory is quantum fidelity [33,34], which is widely used and has been found applications in solving some problems like quantifying entanglement [35,36], quantum error correction [37], quantum chaos [38] and so on. In order to measure the distance between quantum states including mixed states, we adopt the definition of super-fidelity [39] (14) with σ being the density operator of the target state as σ = 1/3(|Ψ + Ψ + | + |00 00| + |11 11|).…”

Section: Now We Consider the Process Of Constructing The Collective D...mentioning

confidence: 99%

Deterministic generation of maximally discordant mixed states by dissipation

Yin

et al. 2020

Phys. Rev. A

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Entanglement can be considered as a special quantum correlation, but not the only kind. It is allowed to exist non-classical correlations even for a separable quantum system. Here we propose two dissipative schemes for generating a maximally correlated state of two qubits in the absence of quantum entanglement, which was raised by [F. Galve, G. L. Giorgi, and R. Zambrini, Phys. Rev. A 83, 012102 (2011)]. These protocols take full advantages of the interaction between four-level atoms and strongly lossy optical cavities. In the first scenario, we alternatively change the phases of Rabi frequencies of two classical driving fields, while the second proposal introduces a strongly lossy coupled-cavity system. Both schemes can realize all Lindblad terms required by the dissipative dynamics, guaranteeing the maximally quantum dissonant state to be the unique steady state for a certain subspace of system. Moreover, since the target state is a mixed state, the performance of our method is evaluated by the definition of super-fidelity G(ρ1, ρ2), and the strictly numerical simulations indicate that fidelity outstripping 99% of the quantum dissonant state is achievable with the current cavity quantum electrodynamics parameters.

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Section: Now We Consider the Process Of Constructing The Collective D...mentioning

confidence: 99%

Deterministic generation of maximally discordant mixed states by dissipation

Yin

et al. 2020

Phys. Rev. A

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“…In this paper, we derive lower and upper bounds for the geometric measure of coherence for arbitrary dimension d, by using the concepts of sub-fidelity and super-fidelity introduced in Ref. [29,30,31,32,33]. These bounds are shown to be tight for a class of maximally coherent mixed states.…”

Section: Introductionmentioning

confidence: 99%

Estimation on Geometric Measure of Quantum Coherence

Zhang

Chen

et al. 2017

Commun. Theor. Phys.

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“…Superfidelity was also proved to be useful in providing bounds on the trace distance [12] (i.e. distinguisabiliy of states [13]) and as a tool for studying new metrics on the space of quantum states [14]. In the following we use a metric on the space of density matrices defined for ρ, σ ∈ M N as…”

Section: Arxiv:11072792v1 [Math-ph] 14 Jul 2011mentioning

confidence: 99%

“…Superfidelity was also proved to be useful in providing bounds on the trace distance [12] (i.e. distinguishability of states [13]) and as a tool for studying new metrics on the set of quantum states [14].…”

Section: Preliminariesmentioning

confidence: 99%