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

Yeong Cherng Liang, Lluís Masanes, Andrew C. Doherty

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

In this paper we classify the four-qubit states that commute with U U V V, 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.

Original languageEnglish
Article number012332
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number1
DOIs
Publication statusPublished - 2008 Jan 25

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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