Systematic generation of entanglement measures for pure states

Details Systematic generation of entanglement measures for pure states Systematic generation of entanglement measures for pure states

2007-09-28

arxiv.org/abs/0709.4563v2

Phys. Rev. A 77 (2008), 052304

Physics

Quantum Physics

13 pages, no figure. Some group theoretical notations are modified

Scientific paper

10.1103/PhysRevA.77.052304

We propose a method to generate entanglement measures systematically by using the irreducible decomposition of some copies of a state under the local unitary (LU) transformations. It is applicable to general multipartite systems. We show that there are entanglement monotones corresponding to singlet representations of the LU group. They can be evaluated efficiently in an algebraic way, and experimentally measurable by local projective measurements of the copies of the state. Non-singlet representations are also shown to be useful to classify entanglement. Our method reproduces many well-known measures in a unified way, and produces also a lot of new ones.

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