Coherence measures and optimal conversion for coherent states

Du, Shuanping; Bai, Zhaofang; Qi, Xiaofei

doi:10.26421/qic15.15-16-3

Cited by 67 publications

(96 citation statements)

References 20 publications

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“…[ 6–19 ] Other important questions concern state transformation, that is, the possibility to transform a quantum state into another one by using quantum operations which do not create coherence. [ 16,20–33 ] Coherence theory in multipartite system has also been investigated, allowing to provide powerful links between the theories of entanglement and coherence. [ 13,34–39 ] Various applications rely on the presence of quantum coherence, including quantum sensing and metrology [ 8,40,41 ] and quantum computation.…”

Section: Introductionmentioning

confidence: 99%

Experimental Progress on Quantum Coherence: Detection, Quantification, and Manipulation

Streltsov

Regula

et al. 2021

Adv Quantum Tech

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Quantum coherence is a fundamental property of quantum systems, separating quantum from classical physics. Recently, there has been significant interest in the characterization of quantum coherence as a resource, investigating how coherence can be extracted and used for quantum technological applications. In this work, the progress of this research is reviewed, focusing in particular on recent experimental efforts. After a brief review of the underlying theory, the main platforms for realizing the experiments are discussed: linear optics, nuclear magnetic resonance, and superconducting systems. Experimental detection and quantification of coherence, experimental state conversion and coherence distillation, and experiments investigating the dynamics of quantum coherence are then considered. Experiments exploring the connections between coherence and uncertainty relations, path information, and coherence of operations and measurements are also reviewed. Experimental efforts on multipartite and multilevel coherence are also discussed.

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Section: Introductionmentioning

confidence: 99%

Experimental Progress on Quantum Coherence: Detection, Quantification, and Manipulation

Streltsov

Regula

et al. 2021

Adv Quantum Tech

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“…The coherence distillation is the process that extracts pure coherent states from a mixed state via free operations and there are various coherence distillation protocols were proposed. These protocols can be divided into two different settings: the asymptotic regime [11,[13][14][15][16] and the one-shot regime [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. From these results, we find that the coherence distillation under SIO is well understand.…”

Section: Introductionmentioning

confidence: 95%

“…[17][18][19][20], and the probabilistic coherence distilltion is completed in Refs. [17,[20][21][22][23][24]. There are still many open problems for coherence distillation under IO in both deterministic case and probabilistic case, although the coherence distillation via IO is well understood in the asymptotic case [11].…”

Section: Introductionmentioning

confidence: 99%

Criterion for a state to be distillable via stochastic incoherent operations

Liu,

Zhou,

Sun

2021

Preprint

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Coherence distillation is a basic information-theoretic task in the resource theory of coherence. In this paper, we find the necessary and sufficient conditions under which a mixed state can be distilled into a pure coherent state via stochastic incoherent operations. With the help of this result, we further show that the set of distillable states via stochastic maximally incoherent operations is identical to the set of distillable states via stochastic incoherent operations.

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“…Detecting and quantifying quantum coherence, therefore, become fundamental problems in the emerging quantum areas. Numerous impressive schemes on measures of quantum coherence have been presented [ 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 ].…”

Section: Introductionmentioning

confidence: 99%

Common Coherence Witnesses and Common Coherent States

Wang

Ding

et al. 2021

Entropy

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We show the properties and characterization of coherence witnesses. We show methods for constructing coherence witnesses for an arbitrary coherent state. We investigate the problem of finding common coherence witnesses for certain class of states. We show that finitely many different witnesses W1,W2,⋯,Wn can detect some common coherent states if and only if ∑i=1ntiWi is still a witnesses for any nonnegative numbers ti(i=1,2,⋯,n). We show coherent states play the role of high-level witnesses. Thus, the common state problem is changed into the question of when different high-level witnesses (coherent states) can detect the same coherence witnesses. Moreover, we show a coherent state and its robust state have no common coherence witness and give a general way to construct optimal coherence witnesses for any comparable states.

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Coherence measures and optimal conversion for coherent states

Cited by 67 publications

References 20 publications

Experimental Progress on Quantum Coherence: Detection, Quantification, and Manipulation

Experimental Progress on Quantum Coherence: Detection, Quantification, and Manipulation

Criterion for a state to be distillable via stochastic incoherent operations

Common Coherence Witnesses and Common Coherent States

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