Geometric measure of entanglement compared to measures based on fidelity

Details Geometric measure of entanglement compared to measures based on fidelity Geometric measure of entanglement compared to measures based on fidelity

2009-11-10

arxiv.org/abs/0911.1796v1

Physics

Quantum Physics

5 pages, no figures

Scientific paper

One of the biggest problems in the theory of quantum information is the quantification of amount of entanglement in an arbitrary multipartite mixed state. Different axiomatic and operational measures were proposed so far. In this work we will establish a connection between geometric measure of entanglement proposed in [Phys. Rev. A 68, 042307 (2003)] and measures based on fidelity. One result will be, that geometric and revised geometric measure of entanglement proposed in [J. Phys. A: Math. Theor. 40, 3507 (2007)] are equal. Further a useful expression for fidelity is derived.

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