Erratum: Quantum discord for two-qubit<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:math>states [Phys. Rev. A<b>81</b>, 042105 (2010)]

Ali, M. K.; Rau, A. R. P.; Alber, Gernot

doi:10.1103/physreva.82.069902

Cited by 347 publications

(658 citation statements)

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“…The calculation of quantum discord involves a difficult optimization procedure. It is generally hard to obtain analytical results except for a few families of two-qubit states [18,19,20,21,22,23,24,25,26]. Huang has proved that computing quantum discord is NP-complete: the running time of any algorithm for computing quantum discord is believed to grow exponentially with the dimension of the Hilbert space.…”

Section: Brief Review Of Geometric Measure Of Quantum Discordmentioning

confidence: 99%

Geometric quantum discord of a Jaynes–Cummings atom and an isolated atom

Qiang

Zhang

2015

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.We studied the geometric quantum discord of a quantum system consisted of a JaynesCummings atom, a cavity and an isolated atom. The analytical expressions of the geometric quantum discord for two atoms, every atom with cavity and the total system were obtained. We showed that the geometric quantum discord is not always zero when entanglement fall in death for two-atom subsystem; the geometric measurement of quantum discord of the total system developed periodically with a single frequency if the initial state of two atoms was not entangled, otherwise, it oscillates with two or four frequencies according to the cavity is initially empty or not, respectively.

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Section: Brief Review Of Geometric Measure Of Quantum Discordmentioning

confidence: 99%

Geometric quantum discord of a Jaynes–Cummings atom and an isolated atom

Qiang

Zhang

2015

J. Phys. B: At. Mol. Opt. Phys.

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“…Analytical results are known only in a few families of two-qubit states [27,28,29,30,45,46,47] (see also [48,49] and references therein). The alternative geometric way, proposed in [35], quantifies the quantum discord as the minimal Hilbert-Schmidt distance between a given state ρ and the closest classical states of the form…”

Section: Quantum Discordmentioning

confidence: 99%

“…Now, it is well understood that almost all quantum states, including unentangled (separable) ones, possess quantum correlations. However, the analytical evaluation of quantum discord requires extremization procedures that can be tedious to achieve [27,28,29,30,31,32,33,34]. To overcome this difficulty, a geometrical approach was proposed in [35].…”

Section: Introductionmentioning

confidence: 99%

Unified scheme for correlations using linear relative entropy

Daoud

Laamara²,

Kaydi³

2014

Physics Letters A

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A linearized variant of relative entropy is used to quantify in a unified scheme the different kinds of correlations in a bipartite quantum system. As illustration, we consider a two-qubit state with parity and exchange symmetries for which we determine the total, classical and quantum correlations. We also give the explicit expressions of its closest product state, closest classical state and the corresponding closest product state. A closed additive relation, involving the various correlations quantified by linear relative entropy, is derived.

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“…To see how to calculate the QFI or FS, we take the X state as an example, which is defined as [27,28,29,30,31] …”

Section: Application To X Statesmentioning

confidence: 99%

Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks

Liu

Xiong

Song

et al. 2014

Physica A: Statistical Mechanics and its Applications

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Abstract. Taking into account the density matrices with non-full ranks, we show that the fidelity susceptibility is determined by the support of the density matrix. Combining with the corresponding expression of the quantum Fisher information, we rigorously prove that the fidelity susceptibility is proportional to the quantum Fisher information. As this proof can be naturally extended to the full rank case, this proportional relation is generally established for density matrices with arbitrary ranks. Furthermore, we give an analytical expression of the quantum Fisher information matrix, and show that the quantum Fisher information matrix can also be represented in the density matrix's support.

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Erratum: Quantum discord for two-qubitXstates [Phys. Rev. A81, 042105 (2010)]

Cited by 347 publications

References 0 publications

Geometric quantum discord of a Jaynes–Cummings atom and an isolated atom

Geometric quantum discord of a Jaynes–Cummings atom and an isolated atom

Unified scheme for correlations using linear relative entropy

Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks

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