Quantifying coherence of Gaussian states

Xu, Jianwei

doi:10.1103/physreva.93.032111

Cited by 116 publications

(144 citation statements)

References 45 publications

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“…Up to now, this tricky question at least has been investigated by two groups in Refs. [59,60]. In this paper, we will follow the framework of Ref.…”

Section: Discussionmentioning

confidence: 99%

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Detecting macroscopic quantum coherence with a cavity optomechanical system

Zheng

Yao

et al. 2016

Phys. Rev. A

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The rigorous resource framework of quantum coherence has been set up recently and excited a wide variety of interests. Here we show that a quantum cavity optomechanical system, as an emerging platform, can behave with a certain value of quantum coherence at a macroscopic scale. We also find that the difference between the total optomechanical coherence and the sum of the optical and the mechanical coherence just equals their mutual information. Motivated by the detection of the optomechanical entanglement, an experimentally feasible scheme to probe the optomechanical coherence is proposed.

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“…Up to now, this tricky question at least has been investigated by two groups in Refs. [59,60]. In this paper, we will follow the framework of Ref.…”

Section: Discussionmentioning

confidence: 99%

“…In this paper, we will follow the framework of Ref. [60] to study the coherence of the cavity optomechanical system. The benefit of Ref.…”

Section: Discussionmentioning

confidence: 99%

Detecting macroscopic quantum coherence with a cavity optomechanical system

Zheng

Yao

et al. 2016

Phys. Rev. A

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“…In addition, various other coherence measures were discussed [10][11][12][13][14][15][16][17]. Many further discussions about quantum coherence were aroused [18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Ordering states with Tsallis relative $$\alpha $$ α -entropies of coherence

Zhang

Shao

Luo

et al. 2016

Quantum Inf Process

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In this paper, we study the ordering states with Tsallis relative α-entropies of coherence and l1 norm of coherence for single-qubit states. We show that any Tsallis relative α-entropies of coherence and l1 norm of coherence give the same ordering for single-qubit pure states. However, they don't generate the same ordering for some high dimensional pure states, even though these states are pure. We also consider three special Tsallis relative α-entropies of coherence, such as C1 ,C2 and C 1 2 , and show any one of these three measures and C l 1 will not generate the same ordering for single-qubit mixed states. Furthermore, we find that any two of these three special measures generate different ordering for single-qubit mixed states.

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“…The coherence measures based on entanglement [30], the coherence measures based on operation [31,32], and the coherence measures based on convex-roof construction [33,34] were subsequently proposed. With coherence measures, various properties of quantum coherence, such as the relations between quantum coherence and other quantum resources [30,35,36], the quantum coherence in infinite-dimensional systems [37,38], the complementarity relations of quantum coherence [39], and the measure of macroscopic coherence [40], have been discussed. Quantum coherence is a useful physical resource, but coherence of a quantum state is often destroyed by noise.…”

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confidence: 99%

Measure-independent freezing of quantum coherence

et al. 2016

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We find that all measures of coherence are frozen for an initial state in a strictly incoherent channel if and only if the relative entropy of coherence is frozen for the state. Our finding reveals the existence of measure-independent freezing of coherence, and provides an entropy-based dynamical condition in which the coherence of an open quantum system is totally unaffected by noise.Quantum coherence is a fundamental feature of quantum mechanics, describing the capability of a quantum state to exhibit quantum interference phenomena. The coherence effect of a state is usually ascribed to the offdiagonal elements of its density matrix with respect to a particular reference basis, which is determined according to the physical problem under consideration. It is an essential ingredient in quantum information processing [1], and plays a central role in emergent fields, such as quantum metrology [2][3][4], nanoscale thermodynamics [5][6][7][8][9][10][11], and quantum biology [12][13][14][15][16].It is only recent years that the quantification of coherence has become a hot topic due to the development of quantum information science, although the theory of quantum coherence is historically well developed in quantum optics [17][18][19]. A rigorous framework to quantify the coherence of quantum states in the resource theories has been recently proposed after a series of efforts [20][21][22][23][24][25][26][27][28][29]. By following the rigorous framework comprising four postulates [20], a number of coherence measures based on various physical contexts have been put forward. The l 1 norm of coherence and the relative entropy of coherence were first suggested as two coherence measures based on distance. The coherence measures based on entanglement [30], the coherence measures based on operation [31,32], and the coherence measures based on convex-roof construction [33,34] were subsequently proposed. With coherence measures, various properties of quantum coherence, such as the relations between quantum coherence and other quantum resources [30,35,36], the quantum coherence in infinite-dimensional systems [37,38], the complementarity relations of quantum coherence [39], and the measure of macroscopic coherence [40], have been discussed. Quantum coherence is a useful physical resource, but coherence of a quantum state is often destroyed by noise. A challenge in exploiting the resource is to protect coherence from the decoherence caused by noise, as the loss of coherence may weaken the abilities of a state to perform quantum information processing tasks. Today, after having been equipped with the knowledge of coherence measures, it becomes possible to analyze under which dynamical conditions the coherence of an open system is frozen in a noisy channel. Studies on this topic have been started in Ref. [41], where the authors found that the coherence measures based on bona fide distances are frozen for some initial states of a quantum system with even number of qubits undergoing local identical bit flip channels. This finding illu...

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Quantifying coherence of Gaussian states

Cited by 116 publications

References 45 publications

Detecting macroscopic quantum coherence with a cavity optomechanical system

Detecting macroscopic quantum coherence with a cavity optomechanical system

Ordering states with Tsallis relative $$\alpha $$ α -entropies of coherence

Measure-independent freezing of quantum coherence

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