Entanglement transformation between sets of bipartite pure quantum states using local operations

H. F. Chau; Chi Hang Fred Fung; Chi Kwong Li; Edward Poon; Nung Sing Sze

doi:10.1063/1.4765298

Entanglement transformation between sets of bipartite pure quantum states using local operations

H. F. Chau, Chi Hang Fred Fung, Chi Kwong Li, Edward Poon, Nung Sing Sze

Research output: Journal article publication › Journal article › Academic research › peer-review

3 Citations (Scopus)

Abstract

Alice Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary sufficient conditions on the existence of such a transformation. We also provide efficient algorithms that can quickly rule out the possibility of transforming a set of initial states to a set of final states.

Original language	English
Article number	122201
Journal	Journal of Mathematical Physics
Volume	53
Issue number	12
DOIs	https://doi.org/10.1063/1.4765298
Publication status	Published - 19 Dec 2012

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4765298

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abstract = "Alice Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary sufficient conditions on the existence of such a transformation. We also provide efficient algorithms that can quickly rule out the possibility of transforming a set of initial states to a set of final states.",

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AU - Chau, H. F.

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AU - Li, Chi Kwong

AU - Poon, Edward

AU - Sze, Nung Sing

PY - 2012/12/19

Y1 - 2012/12/19

N2 - Alice Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary sufficient conditions on the existence of such a transformation. We also provide efficient algorithms that can quickly rule out the possibility of transforming a set of initial states to a set of final states.

AB - Alice Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary sufficient conditions on the existence of such a transformation. We also provide efficient algorithms that can quickly rule out the possibility of transforming a set of initial states to a set of final states.

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JO - Journal of Mathematical Physics

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Entanglement transformation between sets of bipartite pure quantum states using local operations

Abstract

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