Quantum coherence versus quantum uncertainty

Luo, Shunlong; Sun, Yuan

doi:10.1103/physreva.96.022130

Cited by 122 publications

(85 citation statements)

References 45 publications

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“…What is more, if we set α = 1 2 , we reproduce the quantum uncertainty measure formulated in [22], up to a factor 2.…”

Section: Quantum Coherence Measure In Lüders Measurement Picturementioning

confidence: 98%

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Geometric measures of discordlike quantum correlations based on Tsallis relative entropy

2019

Int. J. Quantum Inform.

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In this paper we formulate a kind of new geometric measure of quantum correlations. This new measure is in terms of the quantum Tsallis relative entropy and can be viewed as a one-parameter extension quantum discordlike measure that satisfies all requirements of a good measure of quantum correlations. It is of an elegant analytic expression and contains several existing good quantum correlation measures as special cases.

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“…What is more, if we set α = 1 2 , we reproduce the quantum uncertainty measure formulated in [22], up to a factor 2.…”

Section: Quantum Coherence Measure In Lüders Measurement Picturementioning

confidence: 98%

“…Recently, the coherence measures are generalized to Lüders measurement picture as a partial coherence quantification [21] [22] [23] [24]. In this section we show that the coherence measure in terms of quantum Tsallis relative entropy can be also generalized into this setting.…”

Section: Quantum Coherence Measure In Lüders Measurement Picturementioning

confidence: 99%

Geometric measures of discordlike quantum correlations based on Tsallis relative entropy

2019

Int. J. Quantum Inform.

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“…Next, let ρ ab be a bipartite quantum state shared by parties a and b, and Π L = {Π a i ⊗ 1 b } is the Lüders measurement extension of a fixed local von Neumann measurement Π a = {Π a i } on party a. Then the notion of "partial coherence" with respect to the Lüders measurement Π L is as follows [18].…”

Section: A Coherence and Partial Coherencementioning

confidence: 99%

“…II). Being a useful resource, several measures of quantum coherence namely the K coherence, robustness of coherence, distance-based coherence, relative entropy of coherence, partial coherence, etc., have been introduced [8][9][10][11][12][13][14][15][16][17][18][19][20]. Moreover, quantum coherence and its distribution in multipartite systems have also been studied [21,22].…”

Section: Introductionmentioning

confidence: 99%

Interrelation between partial coherence and quantum correlations

Kim

Kumar

et al. 2018

Phys. Rev. A

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Both coherence and entanglement stem from the superposition principle, capture quantumness of a physical system, and play a central role in quantum physics. In a multipartite quantum system, coherence and quantum correlations are closely connected. In particular, it has been established that quantum coherence of a bipartite state is an important resource for its conversion to entanglement [A. Streltsov et al., Phys. Rev. Lett. 115, 020403 (2015)] and to quantum discord [J. Ma et al., Phys. Rev. Lett. 116, 160407 (2016)]. We show here that there is a very close association between partial coherence introduced by Luo and Sun [S. Luo and Y. Sun, Phys. Rev. A 96, 022136 (2017)] and quantum correlations (quantified by quantum discord) in both directions. Furthermore, we propose families of coherence measures in terms of quantum correlations and quantum Fisher

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“…Next, we focus on partial coherence theory which is an extension of coherence theory [15,16]. From the viewpoint of partial coherence, quantum discord can be regarded as the minimal partial coherence over all local orthogonal basis [17].…”

Section: Introductionmentioning

confidence: 99%

Partial coherence and quantum correlation with fidelity and affinity distances

et al. 2019

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A fundamental task in any physical theory is to quantify certain physical quantity in a meaningful way. In this paper we show that both fidelity distance and affinity distance satisfy the strong contractibility, and the corresponding resource quantifiers can be used to characterize a large class of resource theories. Under two assumptions, namely, convexity of "free states" and closure of free states under "selective free operations", our general framework of resource theory includes quantum resource theories of entanglement, coherence, partial coherence and superposition. In partial coherence theory, we show that fidelity partial coherence of a bipartite state is equal to the minimal error probability of a mixed quantum state discrimination (QSD) task and vice versa, which complements the main result in [Xiong and Wu, J. Phys. A: Math. Theor. 51, 414005 (2018)]. We also compute the analytic expression of fidelity partial coherence for (2, n) bipartite X-states. At last, we study the correlated coherence in the framework of partial coherence theory. We show that partial coherence of a bipartite state, with respect to the eigenbasis of a subsystem, is actually a measure of quantum correlation. a family of resource quantifiers such as robustness monotones and norm-based quantifiers, etc.

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Quantum coherence versus quantum uncertainty

Cited by 122 publications

References 45 publications

Geometric measures of discordlike quantum correlations based on Tsallis relative entropy

Geometric measures of discordlike quantum correlations based on Tsallis relative entropy

Interrelation between partial coherence and quantum correlations

Partial coherence and quantum correlation with fidelity and affinity distances

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