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Method of convex rigid frames and applications in studies of multipartite quNit pure states

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Zai-Zhe Zhong

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LETTER TO THE EDITOR

In this letter, we suggest a method of convex rigid frames in the studies of multipartite quNit pure states. We illustrate what the convex rigid frames are, and what is their method. As applications, we use this method to solve some basic problems and give some new results (three theorems): the problem of the partial separability of the multipartite quNit pure states and its geometric explanation; the problem of the classification of multipartite quNit pure states, giving a perfect explanation of the local unitary transformations; thirdly, we discuss the invariants of classes and give a possible physical explanation.


PACS

03.67.-a Quantum information

03.65.Ta Foundations of quantum mechanics; measurement theory

MSC

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81Rxx Groups and algebras in quantum theory

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 4 (28 January 2005)

Received 7 July 2004, in final form 6 December 2004

Published 12 January 2005



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