Local Unitary Classification of Arbitrary Dimensional Multipartite Pure States
نویسندگان
چکیده
منابع مشابه
Local unitary classification of arbitrary dimensional multipartite pure states.
We propose a practical entanglement classification scheme for general multipartite pure states in arbitrary dimensions under local unitary equivalence by exploiting the high order singular value decomposition technique and local symmetries of the states. By virtue of this scheme, the method of determining the local unitary equivalence of n-qubit states proposed by Kraus is extended to the case ...
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We propose a practical method for finding the canonical forms of arbitrary dimensional multipartite entangled states, either pure or mixed. By extending the technique developed in one of our recent works, the canonical forms for the mixed N -partite entangled states are constructed where they have inherited local unitary symmetries from their corresponding N + 1 pure state counterparts. A syste...
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The equivalence problem under local unitary transformation for n–partite pure states is reduced to the one for (n− 1)–partite mixed states. In particular, a tripartite system HA⊗HB ⊗HC , where Hj is a finite dimensional complex Hilbert space for j = A,B,C, is considered and a set of invariants under local transformations is introduced, which is complete for the set of states whose partial trace...
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In a recent paper, Walgate et al. (Phys. Rev. Lett. 85 (2000) 4972) demonstrated that any two orthogonal multipartite pure states can be optimally distinguished using only local operations. We utilise their result to show that this is true for any two multipartite pure states, in the sense of inconclusive discrimination. There are also certain regimes of conclusive discrimination for which the ...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2012
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.108.050501