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Coherent control of quantum systems as a resource theory
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In this paper, the authors established a resource theory describing the DQC1 protocol and explored relations to the theory of coherence, entanglement and information processing for coherent control of quantum systems.Abstract:
Control at the interface between the classical and the quantum world is fundamental in quantum physics. In particular, how classical control is enhanced by coherence effects is an important question both from a theoretical as well as from a technological point of view. In this work, we establish a resource theory describing this setting and explore relations to the theory of coherence, entanglement and information processing. Specifically, for the coherent control of quantum systems the relevant resources of entanglement and coherence are found to be equivalent and closely related to a measure of discord. The results are then applied to the DQC1 protocol and the precision of the final measurement is expressed in terms of the available resources.read more
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References
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Journal ArticleDOI
Quantum discord: a measure of the quantumness of correlations.
TL;DR: This work shows that absence of entanglement does not imply classicality, and considers the vanishing of discord as a criterion for the preferred effectively classical states of a system, i.e., the pointer states.
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Concentrating partial entanglement by local operations
TL;DR: Any pure or mixed entangled state of two systems can be produced by two classically communicating separated observers, drawing on a supply of singlets as their sole source of entanglement.
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Classical, quantum and total correlations
Leah Henderson,Vlatko Vedral +1 more
TL;DR: In this paper, the problem of separating consistently the total correlations in a bipartite quantum state into a quantum and a purely classical part is discussed, and a measure of classical correlations is proposed and its properties are explored.
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The classical-quantum boundary for correlations: Discord and related measures
TL;DR: Different methods for quantifying the quantum and classical parts of correlations are among the more actively studied topics of quantum-information theory over the past decade as mentioned in this paper and different notions of classical and quantum correlations quantified by quantum discord and other related measures are reviewed.
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Quantum Discord and the Power of One Qubit
TL;DR: In this paper, the authors use quantum discord to characterize the correlations present in the model called deterministic quantum computation with one quantum bit (DQC1), introduced by Knill and Laflamme [1998].