Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Frontiers in Optics

Testing separability of mixed states by looking at them

Seyed Mohammad Hashemi Rafsanjani, S. Agarwal Rochester

Published Jan 1, 2012• 0 citations
Publisher

Abstract

By focusing on the X-matrix part of a two-qubit density matrix we provide a lower bound for the concurrence. We then generalize the result and provide an algebraic separability test for a mixed bipartite state of arbitrary dimension.
DOI
10.1364/fio.2012.fw3a.48

Related papers

X-matrices provide a lower bound of concurrence

Seyed Mohammad Hashemi Rafsanjani, Shantanu Agarwal

By focusing on the X-matrix part of a density matrix of two qubits we provide an algebraic lower bound for the concurrence. The lower bound is generalized for cases beyond two qubits and can serve as a sufficient condition for non-separability for bipartite density matrices of arbitrary dimension. Experimentally, our lower bound can be used to confirm non-separability without performing a complete state tomography.

arXiv:1204.3912•Apr 17, 2012•3 citations

Concurrence of Mixed Bipartite Quantum States in Arbitrary Dimensions

Florian Mintert, Marek Kuś, Andreas Buchleitner

We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary dimensions. As a corollary, a weaker, purely algebraic estimate is found, which detects mixed entangled states with a positive partial transpose.

arXiv:quant-ph/0403063•Physical Review Letters•Apr 23, 2004•252 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 University•Jan 1, 2008•0 citations

A lower bound of concurrence for multipartite quantum states

Ming Li, Shao-Ming Fei, Zhi‐Xi Wang

We study the concurrence of arbitrary multipartite mixed quantum states. An explicit lower bound of the concurrence is derived, which detects quantum entanglement of some states better than some separability criteria, and gives sufficient conditions for distilling GHZ states from tripartite states. An interesting relation between the lower bound of the concurrence for bipartite states and for tripartite states has been presented.

arXiv:0903.3145•Journal of Physics A Mathematical and Theoretical•Mar 17, 2009•59 citations

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 Physics•Oct 15, 2004•6 citations

Separability Criteria for Quantum Mixed States

Zhaohui, Hui, Wang +1 more

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.

理论物理通讯:英文版•Jan 1, 2004•0 citations