Convertibility between two-qubit states using stochastic local quantum operations assisted by classical communication

Liang, Yeong-Cherng, Masanes, Lluís and Doherty, Andrew C. (2008) Convertibility between two-qubit states using stochastic local quantum operations assisted by classical communication. Physical Review A, 77 1: Article Number: 012332. doi:10.1103/PhysRevA.77.012332

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Author Liang, Yeong-Cherng
Masanes, Lluís
Doherty, Andrew C.
Title Convertibility between two-qubit states using stochastic local quantum operations assisted by classical communication
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2047
Publication date 2008-01-25
Sub-type Article (original research)
DOI 10.1103/PhysRevA.77.012332
Open Access Status File (Publisher version)
Volume 77
Issue 1
Start page Article Number: 012332
Total pages 9
Editor G.W.F. Drake
M. Malloy
Place of publication College Park, Maryland, USA
Publisher American Physical Society
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
020699 Quantum Physics not elsewhere classified
Abstract In this paper we classify the four-qubit states that commute with UUVV, where U and V are arbitrary members of the Pauli group. We characterize the set of separable states for this class, in terms of a finite number of entanglement witnesses. Equivalently, we characterize the two-qubit, Bell-diagonal-preserving, completely positive maps that are separable. These separable completely positive maps correspond to protocols that can be implemented with stochastic local operations assisted by classical communication (SLOCC). This allows us to derive a complete set of SLOCC monotones for Bell-diagonal states, which, in turn, provides the necessary and sufficient conditions for converting one two-qubit state to another by SLOCC.
Keyword Bell theorem
quantum communication
quantum entanglement
stochastic processes
Q-Index Code C1
Q-Index Status Confirmed Code

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
 
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Created: Sat, 18 Apr 2009, 01:20:34 EST by Jo Hughes on behalf of School of Mathematics & Physics