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Entanglement Theory Quantum Correlations

Any 2otimes n subspace is locally distinguishable

arXiv
Authors: Nengkun Yu, Runyao Duan, Mingsheng Ying

Year

2010

Paper ID

10873

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

A subspace of a multipartite Hilbert space is called locally indistinguishable if any orthogonal basis of this subspace cannot be perfectly distinguished by local operations and classical communication. Previously it was shown that any motimes n bipartite system such that m>2 and n>2 has a locally indistinguishable subspace. However, it has been an open problem since 2005 whether there is a locally indistinguishable bipartite subspace with a qubit subsystem. We settle this problem by showing that any 2otimes n bipartite subspace is locally distinguishable in the sense it contains a basis perfectly distinguishable by LOCC. As an interesting application, we show that any quantum channel with two Kraus operations has optimal environment-assisted classical capacity.

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  • A subspace of a multipartite Hilbert space is called locally indistinguishable if any orthogonal basis of this subspace cannot be perfectly distinguished by local operations...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.2664 [2] arXiv https://arxiv.org/abs/1010.2664 [3] Publisher https://arxiv.org/abs/1010.2664

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal

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