Coherence transformations in single qubit systems

Shi, Hailong; Wang, Xiaohui; Liu, Siyuan; Yang, Wen-Li; Yang, Zhan-Ying; Fan, Heng

doi:10.1038/s41598-017-13687-4

Cited by 25 publications

(12 citation statements)

References 31 publications

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“…The state conversion problem is important in any resource theory, since it determines the value of states for protocols using the resource under study. The result presented here are a significant generalization of recent results on single-shot coherence theory [10,[23][24][25][26] and single-shot resource theories in general [27], and include necessary conditions on the existence of stochastic conversions, which we generalized to higher dimensions.…”

Section: Discussionmentioning

confidence: 52%

Quantum coherence and state conversion: theory and experiment

Theurer

Xiang

et al. 2020

npj Quantum Inf

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The resource theory of coherence [1-6] studies the operational value of superpositions in quantum technologies. A key question in this theory concerns the efficiency of manipulation and inter-conversion [3, 7-10] of the resource. Here we solve this question completely for qubit states by determining the optimal probabilities for mixed state conversions via stochastic incoherent operations. Extending the discussion to distributed scenarios, we introduce and address the task of assisted incoherent state conversion where the process is enhanced by making use of correlations with a second party. Building on these results, we demonstrate experimentally that the optimal state conversion probabilities can be achieved in a linear optics set-up. This paves the way towards real world applications of coherence transformations in current quantum technologies.Practical constraints on our ability to manipulate physical systems restrict the control we can exert on them. It is, for example, exceedingly difficult to exchange quantum systems undisturbed over long distances [11]. When manipulating spatially separated subsystems, effectively, this limits us to Local Operations and Classical Communication (LOCC). Under these operations, it is only possible to prepare certain states, i.e. separable ones. The states which cannot be produced under LOCC are called entangled and elevated to resources: Consuming them allows to implement operations such as quantum state teleportation [12] to achieve perfect quantum state transfer which would not be possible with LOCC alone. This has important consequences, e.g. in quantum communication and other quantum technologies, but also for our understanding of the view of the fundamental laws of nature [11,[13][14][15].Entanglement is explored within the framework of quantum resource theories, which can also be used to investigate other non-classical features of quantum mechanics in a systematic way. A concept underlying many * These authors contributed equally to this work. †

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Section: Discussionmentioning

confidence: 52%

Quantum coherence and state conversion: theory and experiment

Theurer

Xiang

et al. 2020

npj Quantum Inf

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“…[9,10]) to the general case of initial mixed states, which is also given in terms of the majorization relation of the corresponding coherence vectors. This result is an step forward on the characterization of conversions between general quantum states under incoherent operations, whose complete solution is only known for the single qubit system [16,17]. Indeed, in higher dimensions (d ≥ 4), it was recently shown that a finite number of conditions in terms of coherence measures are not sufficient to fully characterize coherence transformations on general quantum states [10].…”

Section: Introductionmentioning

confidence: 97%

Generalized coherence vector applied to coherence transformations and quantifiers

Bosyk,

Losada,

Massri

et al. 2020

Preprint

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“…Coherence quantification, and in particular the development of coherence quantifiers which have an operational meaning in experiments, has seen steady active progress within the resource-theoretic framework [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Other important questions concern state transformation, i.e., the possibility to transform a quantum state into another one by using quantum operations which do not create coherence [16,[20][21][22][23][24][25][26][27][28][29][30][31][32]. Coherence theory in multipartite system has also been investigated, allowing to provide powerful links between the theories of entanglement and coherence [13,[33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Experimental progress on quantum coherence: detection, quantification, and manipulation

Wu,

Streltsov,

Regula

et al. 2021

Preprint

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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 we review the progress of this research, focusing in particular on recent experimental efforts. After a brief review of the underlying theory we discuss the main platforms for realizing the experiments: linear optics, nuclear magnetic resonance, and superconducting systems. We then consider experimental detection and quantification of coherence, experimental state conversion and coherence distillation, and experiments investigating the dynamics of quantum coherence. We also review experiments exploring the connections between coherence and uncertainty relations, path information, and coherence of operations and measurements. Experimental efforts on multipartite and multilevel coherence are also discussed.

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Coherence transformations in single qubit systems

Cited by 25 publications

References 31 publications

Quantum coherence and state conversion: theory and experiment

Quantum coherence and state conversion: theory and experiment

Generalized coherence vector applied to coherence transformations and quantifiers

Experimental progress on quantum coherence: detection, quantification, and manipulation

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