Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one way classical communication.
ISIT(2023)
摘要
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
A
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
AB
. 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
AB
. We call this task local purity distillation.
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关键词
bipartite mixed state,bipartite quantum state,local noisy operations,local pure states,local purity distillation,one-shot purity distillation,one-way classical communication,pure local qubit states,pure qubit states,task purity concentration
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