Experimental Cyclic Interconversion between Coherence and Quantum Correlations

Wu, Kang-Da; Hou, Zhibo; Zhao, Yuanyuan; Xiang, Guo-Yong; Li, Chuan‐Feng; Guo, Guang‐Can; Ma, Jiajun; He, Qiongyi; Thompson, Jayne; Gu, Mile

doi:10.1103/physrevlett.121.050401

Cited by 72 publications

(53 citation statements)

References 37 publications

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“…This goes on to accentuate the interplay between nonclassicality like coherence and squeezing and quantum correlations like discord [45][46][47] and entanglement [18]. A recent linear optics experiment took an important step in this direction where coherence in a local system was consumed to synthesize an identical amount of quantum discord with an ancilla system using only incoherent operations [48].…”

Section: B Asymmetry Witness As An Entanglement Witnessmentioning

confidence: 99%

Asymmetry and coherence weight of quantum states

Anand

Singh

2018

Phys. Rev. A

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The asymmetry of quantum states is an important resource in quantum information processing tasks such as quantum metrology and quantum communication. In this paper, we introduce the notion of asymmetry weight -an operationally motivated asymmetry quantifier in the resource theory of asymmetry. We study the convexity and monotonicity properties of asymmetry weight and focus on its interplay with the corresponding semidefinite programming (SDP) forms along with its connection to other asymmetry measures. Since the SDP form of asymmetry weight is closely related to asymmetry witnesses, we find that the asymmetry weight can be regarded as a (state-dependent) asymmetry witness. Moreover, some specific entanglement witnesses can be viewed as a special case of an asymmetry witness -which indicates a potential connection between asymmetry and entanglement. We also provide an operationally meaningful coherence measure, which we term coherence weight, and investigate its relationship to other coherence measures like the robustness of coherence and the l 1 norm of coherence. In particular, we show that for Werner states in any dimension d, all three coherence quantifiers, namely, the coherence weight, the robustness of coherence, and the l 1 norm of coherence, are equal and are given by a single letter formula.

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Section: B Asymmetry Witness As An Entanglement Witnessmentioning

confidence: 99%

Asymmetry and coherence weight of quantum states

Anand

Singh

2018

Phys. Rev. A

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“…They are operational resources, in modern applications in quantum technology 1 , as: quantum algorithms 2 , quantum computation 3 , and quantum key distribution 4 . Moreover, the quantum effects and quantum correlations have been explored, both theoretically [5][6][7][8][9] and experimentally 10 . Recently, due to the rapid development of the real qubit systems based on the superconducting circuits 11 and quantum dots 12 , the quantum effects have been further investigated [13][14][15] .…”

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confidence: 99%

“…Phase space non-classicality can be visualized through the negative part of WF distribution, which cannot occur for classical light. It is a necessary and sufficient identifier for the experimental reconstruction of an entanglement quasiprobability 10,24 .…”

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confidence: 99%

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Mohamed

Eleuch

2020

Sci Rep

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We explore the phase space quantum effects, quantum coherence and non-classicality, for two coupled identical qubits with intrinsic decoherence. the two qubits are in a nonlinear interaction with a quantum field via an intensity-dependent coupling. We investigate the non-classicality via the Wigner functions. We also study the phase space information and the quantum coherence via the Q-function, Wehrl density, and Wehrl entropy. It is found that the robustness of the non-classicality for the superposition of coherent states, is highly sensitive to the coupling constants. The phase space quantum information and the matter-light quantum coherence can be controlled by the two-qubit coupling, initial cavity-field and the intrinsic decoherence.

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“…Some known measures include geometric measures [2], the robustness of coherence [6][7][8], and entanglement based measures [9]. Coherence measures have now been studied in relation to a diverse range of quantum effects such as quantum interference [10], exponential speed-up in quantum algorithms [11,12] and quantum metrology [13,14], nonclassical light [15][16][17], quantum macroscopicity [18,19] and quantum correlations [20][21][22][23][24][25]. An overview of coherence measures and their structure may be found in [26,27].…”

Section: Introductionmentioning

confidence: 99%

Optimizing nontrivial quantum observables using coherence

2019

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In this paper we consider the quantum resources required to maximize the mean values of any nontrivial quantum observable. We show that the task of maximizing the mean value of an observable is equivalent to maximizing some form of coherence, up to the application of an incoherent operation. For any nontrivial observable, there always exists a set of preferred basis states where the superposition between such states is always useful for optimizing the mean value of a quantum observable. The usefulness of such states is expressed in terms of an infinitely large family of valid coherence measures which is then shown to be efficiently computable via a semidefinite program. We also show that these coherence measures respect a hierarchy that gives the robustness of coherence and the l 1 norm of coherence additional operational significance in terms of such optimization tasks.

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Experimental Cyclic Interconversion between Coherence and Quantum Correlations

Cited by 72 publications

References 37 publications

Asymmetry and coherence weight of quantum states

Asymmetry and coherence weight of quantum states

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Optimizing nontrivial quantum observables using coherence

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