Characterizing entanglement with global and marginal entropic measures

Details Characterizing entanglement with global and marginal entropic measures Characterizing entanglement with global and marginal entropic measures

2003-07-28

arxiv.org/abs/quant-ph/0307192v2

Phys. Rev. A 68, 062318 (2003)

Physics

Quantum Physics

6 pages, 5 color figures in low resolution due to oversizing problems; to get the original high-resolution figures please cont

Scientific paper

10.1103/PhysRevA.68.062318

We qualify the entanglement of arbitrary mixed states of bipartite quantum systems by comparing global and marginal mixednesses quantified by different entropic measures. For systems of two qubits we discriminate the class of maximally entangled states with fixed marginal mixednesses, and determine an analytical upper bound relating the entanglement of formation to the marginal linear entropies. This result partially generalizes to mixed states the quantification of entaglement with marginal mixednesses holding for pure states. We identify a class of entangled states that, for fixed marginals, are globally more mixed than product states when measured by the linear entropy. Such states cannot be discriminated by the majorization criterion.

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