2020
DOI: 10.1103/physrevresearch.2.012035
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Abstract: Quantum resource theories have been widely studied to systematically characterize the nonclassicality of quantum systems. Most resource theories focus on quantum states and study their interconversions. Although quantum channels are generally used as the tool for state manipulation, such a manipulation capability can be naturally regarded as a generalized quantum resource, leading to an open research direction in the resource theories of quantum channels. Various resourcetheoretic properties of channels have b… Show more

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Cited by 127 publications
(103 citation statements)
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References 89 publications
(172 reference statements)
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“…Also we remark that the proof of property (M2) forP D is a direct application of Theorem 1 in Ref. [52]. This also meansP D can be a monotone if we consider the largest set of possible free super-channel.…”
Section: Local Operations Plus Shared Randomness Channelsmentioning
confidence: 80%
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“…Also we remark that the proof of property (M2) forP D is a direct application of Theorem 1 in Ref. [52]. This also meansP D can be a monotone if we consider the largest set of possible free super-channel.…”
Section: Local Operations Plus Shared Randomness Channelsmentioning
confidence: 80%
“…Theorem 1 in Ref. [52] implies thatP D given in Eq. (12) can be a mono-tone under the largest set of free super-channels, while it is still unclear whether it is also true for P D given in Eq.…”
Section: Discussionmentioning
confidence: 98%
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“…The resource theoretic framework has been applied to various kinds of quantities [3][4][5][6][7][8], as well as employed to extract common features shared by a wide class of resources [9][10][11][12][13][14][15][16][17][18][19][20][21]. Recently, the framework has been extended beyond the consideration of static resources attributed to quantum states to dynamic resources attributed to quantum measurements and channels, and it has been under active investigation [15][16][17][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”
Section: Introduction -A Central Problem Addressed In Quantummentioning
confidence: 99%
“…Quantum channels are of primary importance in many quantum information protocols such as quantum network communication [22], quantum key distribution [7] and quantum teleportation [25]. While there are many ways in which a a dynamical resource theory of nonlocality could be formulated [26,27], one approach involves identifying the nonlocality of a channel in terms of its ability to transmit nonlocal correlations. In its simplest form, a point-to-point quantum channel ¢  A B distributes nonlocal correlations by sending one-half of an entangled state r ¢ AA through the channel and locally measuring the joint state s r…”
Section: Introductionmentioning
confidence: 99%