Graph states and local unitary transformations beyond local Clifford operations
نویسندگان
چکیده
منابع مشابه
Multipartite states under local unitary transformations
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 previous work the authors introduced a notion of generic states and obtained criteria for local equivalence of them. Here they introduce the concept of CHG states maintaining the criteria of local equivalence. This fact allows the authors to halve the number of invariants necessary to characterize the equivalence classes under local unitary transformations for the set of tripartite states wh...
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For an anyon model in two spatial dimensions described by a modular tensor category, the topological S-matrix encodes the mutual braiding statistics, the quantum dimensions, and the fusion rules of anyons. It is nontrivial whether one can compute the S-matrix from a single ground state wave function. Here, we define a class of Hamiltonians consisting of local commuting projectors and an associa...
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As one of the most striking features of quantum phenomena [1], quantum entanglement has been identified as a non-local resource for quantum information processing such as quantum computation [2, 3], quantum teleportation [4], dense coding [5], quantum cryptographic schemes [6]entanglement swapping [7], and remote state preparation (RSP) [8, 9, 10, 11] etc.. As a matter of fact, the degree of en...
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The equivalence of tripartite pure states under local unitary transformations is investigated. The nonlocal properties for a class of tripartite quantum states in C ⊗ C ⊗ C composite systems are investigated and a complete set of invariants under local unitary transformations for these states is presented. It is shown that two of these states are locally equivalent if and only if all these inva...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2017
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aa67cd