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

International Journal of Quantum Information

CANONICAL FORM AND SEPARABILITY OF PPT STATES IN ${\mathcal C}^2\otimes {\mathcal C}^M\otimes {\mathcal C}^N$ COMPOSITE QUANTUM SYSTEMS

Xiaohong Wang, Shao-Ming Fei, Zhi‐Xi Wang, Ke Wu

Published Sep 1, 2003• 0 citations
Publisher

Abstract

We investigate the canonical forms of positive partial transposition (PPT) density matrices in [Formula: see text] composite quantum systems with rank N. A general expression for these PPT states are explicitly obtained. From this canonical form a sufficient separability condition is presented.
DOI
10.1142/s0219749903000218

Related papers

Canonical Form and Separability of PPT States in 2xMxN Composite Quantum Systems

X. H. Wang, S. M. Fei, Z. X. Wang +1 more

We investigate the canonical forms of positive partial transposition (PPT) density matrices in ${\cal C}^2 \otimes {\cal C}^M \otimes {\cal C}^N$ composite quantum systems with rank $N$. A general expression for these PPT states are explicitly obtained. From this canonical form a sufficient separability condition is presented.

arXiv:quant-ph/0312031•Dec 3, 2003•0 citations

On PPT States in KxMxN Composite Quantum Systems

Xiaohong Wang, Shao-Ming Fei, Zhi‐Xi Wang +1 more

We study the general representations of positive partial transpose (PPT) states in ${\cal C}^K \otimes {\cal C}^M \otimes {\cal C}^N$. For the PPT states with rank-$N$ a canonical form is obtained, from which a sufficient separability condition is presented.

arXiv:quant-ph/0501023•Jan 6, 2005•0 citations

On PPT States in C K ⊗ C M ⊗ C N Composite Quantum Systems

Xiaohong Wang, Shao-Ming Fei, Zhi‐Xi Wang +1 more

We study the general representations of positive partial transpose (PPT) states in C K ⊗C M ⊗C N. For the PPT states with rank-N a canonical form is obtained, from which a sufficient separability condition is presented.

Communications in Theoretical Physics•Aug 15, 2004•2 citations

CANONICAL FORM AND SEPARABILITY OF PPT STATES ON MULTIPLE QUANTUM SPACES

Xiaohong Wang, Shao-Ming Fei

By using the "subtracting projectors" method in proving the separability of PPT states on multiple quantum spaces, we derive a canonical form of PPT states in [Formula: see text] composite quantum systems with rank N, from which a sufficient separability condition for these states is presented.

arXiv:quant-ph/0504145•International Journal of Quantum Information•Dec 17, 2004•2 citations

Canonical Form, and Separability of PPT States in C^2×C^2×C^2×C^N Composite Quantum Systems

FEIShao-Ming, GAOXiu-Hong, WANGXiao-Hong +2 more

We give a canonical form of PPT states in C2(×)C2(×)C2(×)CN with rank = N. From this canonical form a sufficient separability condition for these states is presented.

理论物理通讯：英文版•Jan 1, 2003•0 citations

Canonical Form and Separability of PPT States in C 2 ⊗ C 2 ⊗ C 2 ⊗ C N Composite Quantum Systems

Fei Shao-Ming, Gao Xiu-Hong, Wang Xiao-Hong +2 more

We give a canonical form of PPT states in C 2 ⊗ C 2 ⊗ C 2 ⊗ C N with rank=N. From this canonical form a sufficient separability condition for these states is presented.

arXiv:quant-ph/0310146•Communications in Theoretical Physics•Nov 15, 2003•0 citations
CANONICAL FORM AND SEPARABILITY OF PPT STATES IN C2⊗CM⊗CN{\mathcal C}^2\otimes {\mathcal C}^M\otimes {\mathcal C}^NC2⊗CM⊗CN COMPOSITE QUANTUM SYSTEMS
We investigate the canonical forms of positive partial transposition (PPT) density matrices in C2⊗CM⊗CN{\cal C}^2 \otimes {\cal C}^M \otimes {\cal C}^NC2⊗CM⊗CN composite quantum systems with rank NNN. A general expression for these PPT states are explicitly obtained. From this canonical form a sufficient separability condition is presented.
We study the general representations of positive partial transpose (PPT) states in CK⊗CM⊗CN{\cal C}^K \otimes {\cal C}^M \otimes {\cal C}^NCK⊗CM⊗CN. For the PPT states with rank-NNN a canonical form is obtained, from which a sufficient separability condition is presented.