On Tripartite Pure-State Entanglement
Year: 1998
Type: preprint
Abstract: Two important subsets of tripartite pure states, namely {\\em triseparable} states (i.e. states such that the bipartite density matrices obtained by tracing out any party's subsystem are separable) and {\\em triorthogonal} states (i.e. states with a three-party Schmidt-like decomposition) are introduced. It is proved that any triseparable state is triorthogonal and vice-versa. The relevance of this result to quantifying tripartite pure-state entanglement is discussed. It is also proved that any purification of a bipartite bound entangled state with positive partial transpose is {\\em tri-inseparable}. This is a new necessary condition for such bound entanglement.
Source: arXiv (Cornell University)
Author: Ashish V. Thapliyal
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2964266271