Correlation measure equivalence in dynamic causal structures of quantum gravity

Gyöngyösi, László

doi:10.1002/que2.30

Cited by 16 publications

(10 citation statements)

References 77 publications

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“…Intrestingly, in Ref. [13], the author present the quantum correlation measure equivalence in dynamic causal structures of quantum gravity, which maybe helpful for investigating the quantification of coherence. Coherence in multipartite systems has been also studied [14][15][16], together with its relations to quantum entanglement and quantum nonlocality [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence bounds the distributed discords

et al. 2022

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Establishing quantum correlations between two remote parties by sending an information carrier is an essential step of many protocols in quantum information processing. We obtain trade-off relations between discords and coherence within a bipartite system. Then we study the distribution of coherence in a bipartite quantum state by using the relations of relative entropy and mutual information. We show that the increase of the relative entropy of discord between two remote parties is bounded by the nonclassical correlations quantified by the relative entropy of coherence between the carrier and two remote parties, providing an optimal protocol for discord distribution and showing that quantum correlations are the essential resource for such tasks.

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Section: Introductionmentioning

confidence: 99%

Quantum coherence bounds the distributed discords

et al. 2022

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“…Recently, much attention has been paid to the resource theory of coherence [1][2][3][4][5][6][7][8][9][10], entanglement [11], asymmetry [12][13][14][15] and nonuniformity [16,17]. As a fundamental feature of quantum physics, quantum coherence plays significant roles in quantum metrology [18,19], low-temperature thermodynamics [20][21][22][23][24], nanoscale physics [25][26][27][28][29][30], and quantum measurement [31][32][33]. The quantification of quantum coherence of quantum states has been extensively investigated, see [34][35][36][37] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Maximum Relative Entropy of Coherence for Quantum Channels

Jin,

Yang,

Fei

et al. 2021

Preprint

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Based on the resource theory for quantifying the coherence of quantum channels, we introduce a new coherence quantifier for quantum channels via maximum relative entropy. We prove that the maximum relative entropy for coherence of quantum channels is directly related to the maximally coherent channels under a particular class of superoperations, which results in an operational interpretation of the maximum relative entropy for coherence of quantum channels. We also introduce the conception of sub-superchannels and sub-superchannel discrimination. For any quantum channels, we show that the advantage of quantum channels in sub-superchannel discrimination can be exactly characterized by the maximum relative entropy of coherence for quantum channels. Similar to the maximum relative entropy of coherence for channels, the robustness of coherence for quantum channels has also been investigated. We show that the maximum relative entropy of coherence for channels provides new operational interpretations of robustness of coherence for quantum channels and illustrates the equivalence of the dephasing-covariant superchannels, incoherent superchannels, and strictly incoherent superchannels in these two operational tasks.

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“…Understanding quantum effects in the framework of relativity [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] is essential. For example, it was found that nonclassical correlations are generated between the open charts in the exponentially expanding de Sitter space [36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Distribution and generation of quantum coherence for Gaussian states in de Sitter space

Liu,

Wen,

Wang

et al. 2021

Preprint

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We study the distribution and generation of quantum coherence for two-mode and multi-mode Gaussian states in de Sitter space. It is found that the quantum coherence is redistributed among the mode in different open charts under the curvature effect of de Sitter space. In particular, the Gaussian coherence for the initially correlated state is found to survive in the limit of infinite curvature, while quantum entanglement vanishing in this limit. Unlike entanglement and steering, the coherence of a massive scalar field is more robust than a massless field under the influence of curvature of de Sitter space. In addition, it is shown that the curvature generates two-mode Gaussian state and three-mode Gaussian state quantum coherence among the open charts, even though the observers are localized in causally disconnected regions. It is worth

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Correlation measure equivalence in dynamic causal structures of quantum gravity

Cited by 16 publications

References 77 publications

Quantum coherence bounds the distributed discords

Quantum coherence bounds the distributed discords

Maximum Relative Entropy of Coherence for Quantum Channels

Distribution and generation of quantum coherence for Gaussian states in de Sitter space

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