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- W4386066537 abstract "We investigate the problem of producing local pure states by performing local noisy operations assisted by one-way classical communication on a given bipartite mixed state in the one-shot setting. We consider the following two scenarios:1)Scenario I: A party, say Alice, is provided with a single copy of some quantum state ρ <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A</sup> on system A. The task for Alice is to extract pure qubit states using only noisy operations on A. We call this task purity concentration.2)Scenario II: Two parties, Alice and Bob possess the A and B sub-systems, respectively, of a given bipartite quantum state ρ <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>AB</sup> . They are allowed to perform any local noisy operations and communicate via a one-way dephasing (i.e., classical) channel. The task for them is to design a protocol using these resources such that together they can extract pure local qubit states from the shared state ρ <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>AB</sup> . We call this task local purity distillation." @default.
- W4386066537 created "2023-08-23" @default.
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- W4386066537 date "2023-06-25" @default.
- W4386066537 modified "2023-09-27" @default.
- W4386066537 title "Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one way classical communication" @default.
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- W4386066537 doi "https://doi.org/10.1109/isit54713.2023.10206692" @default.
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