Physical transformations between quantum states

Zejun Huang; Chi Kwong Li; Edward Poon; Nung Sing Sze

doi:10.1063/1.4755846

Physical transformations between quantum states

Zejun Huang, Chi Kwong Li, Edward Poon, Nung Sing Sze

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

15 Citations (Scopus)

Abstract

Given two sets of quantum states {A1,..., Ak} and {B1,..., Bk}, represented as sets as density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(Ai) = Bi for i = 1,..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.

Original language	English
Article number	102209
Journal	Journal of Mathematical Physics
Volume	53
Issue number	10
DOIs	https://doi.org/10.1063/1.4755846
Publication status	Published - 12 Sept 2012

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

More information

10.1063/1.4755846

http://hdl.handle.net/10397/6239

Cite this

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title = "Physical transformations between quantum states",

abstract = "Given two sets of quantum states \{A1,..., Ak\} and \{B1,..., Bk\}, represented as sets as density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(Ai) = Bi for i = 1,..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.",

author = "Zejun Huang and Li, \{Chi Kwong\} and Edward Poon and Sze, \{Nung Sing\}",

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AU - Huang, Zejun

AU - Li, Chi Kwong

AU - Poon, Edward

AU - Sze, Nung Sing

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N2 - Given two sets of quantum states {A1,..., Ak} and {B1,..., Bk}, represented as sets as density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(Ai) = Bi for i = 1,..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.

AB - Given two sets of quantum states {A1,..., Ak} and {B1,..., Bk}, represented as sets as density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(Ai) = Bi for i = 1,..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.

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U2 - 10.1063/1.4755846

DO - 10.1063/1.4755846

M3 - Journal article

SN - 0022-2488

VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 10

M1 - 102209

ER -

Physical transformations between quantum states

Abstract

ASJC Scopus subject areas

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