General pure multipartite entangled states and the Segre variety
Abstract
We construct a measure of entanglement by generalizing the quadric polynomial of the Segre variety for general multipartite states. This measure of entanglement works for any pure state and vanishes on multipartite product states. We give explicit expressions for general pure three-partite and four-partite states, and compare our measure of entanglement with the generalized concurrence.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- August 2006
- DOI:
- 10.1088/0305-4470/39/31/013
- arXiv:
- arXiv:quant-ph/0603127
- Bibcode:
- 2006JPhA...39.9839H
- Keywords:
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- Quantum Physics
- E-Print:
- 5 pages