理论物理通讯：英文版

Separability Criteria for Quantum Mixed States

Zhaohui, Hui, Wang, Zhi-Xi

Published Jan 1, 2004• 0 citations

Abstract

We investigate separability of mixed states in bipartite and multipartite quantum systems. If a quantum state in a bipartite system of arbitrary dimension (or in 2 × 2 × N quantum systems) is separable, we show that some quantity in relationto Hermitian matrix is positive.

Related papers

Separability Criteria for Quantum Mixed States

Hui Zhao, Zhi‐Xi Wang

We investigate separability of mixed states in bipartite and multipartite quantum systems. If a quantum state in a bipartite system of arbitrary dimension (or in quantum systems) is separable, we show that some quantity in relation to Hermitian matrix is positive.

Communications in Theoretical PhysicsOct 15, 20046 citations

Separability criteria for multipartite quantum mixed states

Zhou Hui

The separability of mixed states in multipartite quantum systems is investigated. If a quantum state in a multipartite system with an arbitrary dimension is separable, some quantity in relation to Hermitian matrix is positive.

Chinese PhysicsJan 27, 20053 citations

Separability Criteria for Quantum Mixed States in Terms of Trace Norm

Hui Zhao

A new necessary conditions for separability of mixed states in bipartite and multipartite quantum systems of arbitrary dimensions are presented. This method requires only a few local measurements. If a quantum state in a bipartite (or multipartite) system of arbitrary dimension is separable, we show that the trace norm of a constructive matrix is less than or equal to 1.

Chinese Physics LettersJun 28, 20063 citations

A Note on the Separability of Quantum Mixed States

Cao Huai-xin

In this note,we give a representation of density matrix for a bipartite quantum system and a neces-sary condition for separability of density matrix of mixed states in a bipartite quantum system of arbitrary dimen-tion.We show that if density matrix of mixed states in a bipartite quantum system of arbitrary dimension is separa-ble,then the trace norm of constructive matrix is less than or equal to 1.

Journal of Xianyang Normal UniversityJan 1, 20080 citations

Quantum separability criteria for arbitrary-dimensional multipartite states

Ming Li, Jing Wang, Shao-Ming Fei +1 more

We present separability criteria for both bipartite and multipartite quantum states. These criteria include the criteria based on the correlation matrix and its generalized form as special cases. We show by detailed examples that our criteria are more powerful than the positive partial transposition criterion, the realignment criterion, and the criteria based on the correlation matrices.

arXiv:1402.4428Physical Review AFeb 18, 201459 citations

CRITERIA OF PARTIAL SEPARABILITY OF MULTIPARTITE QUBIT MIXED STATES

Zai-Zhe Zhong

We discuss the partial separability and its criteria problems of multipartite qubit mixed states. First, we strictly define what is the partial separability of a multipartite qubit system. Next, we provide a way of reduction from N-partite qubit density matrixes to bipartite qubit density matrixes, and prove a necessary condition that an N-partite qubit mixed state to be partially separable is its reduction to satisfy the PPT condition.

arXiv:quant-ph/0409182International Journal of Quantum InformationMay 31, 20052 citations