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.
We study the general representations of positive partial transpose (PPT) states in CK⊗CM⊗CN. For the PPT states with rank-N a canonical form is obtained, from which a sufficient separability condition is presented.
CANONICAL FORM AND SEPARABILITY OF PPT STATES IN C2⊗CM⊗CN COMPOSITE QUANTUM SYSTEMS
We investigate the canonical forms of positive partial transposition (PPT) density matrices in C2⊗CM⊗CN 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.