| doi:10.2201/NiiPi.2011.8.11 |
| Test of purity by LOCC |
| Keiji MATSUMOTO |
| National Institute of Informatics |
(Received: September 21,2010)
(Revised: January 4,2011)
(Accepted: January 4,2011) |
Abstract:
Given n-copies of an unknown bipartite ( possiblly mixed ) state, our task is to test whether the state is a pure state of not. If one is allowed to use global operations, optimal one-sided error test is the projection onto the symmetric subspace, obviously. Is it possible to approximate the globally optimal measurement by LOCC when n is large?
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Keywords:
statistical test, entanglement, LOCC, group representation
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