Detecting multipartite entanglement
Abstract
We discuss the problem of determining whether the state of several quantum mechanical subsystems is entangled. As in previous work on two subsystems we introduce a procedure for checking separability that is based on finding state extensions with appropriate properties and may be implemented as a semidefinite program. The main result of this work is to show that there is a series of tests of this kind such that if a multiparty state is entangled this will eventually be detected by one of the tests. The procedure also provides a means of constructing entanglement witnesses that could in principle be measured in order to demonstrate that the state is entangled.
- Publication:
-
Physical Review A
- Pub Date:
- March 2005
- DOI:
- 10.1103/PhysRevA.71.032333
- arXiv:
- arXiv:quant-ph/0407143
- Bibcode:
- 2005PhRvA..71c2333D
- Keywords:
-
- 03.67.Mn;
- 03.65.Ud;
- Entanglement production characterization and manipulation;
- Entanglement and quantum nonlocality;
- Quantum Physics
- E-Print:
- 9 pages, REVTEX