The Schmidt Measure as a Tool for Quantifying Multi-Particle Entanglement

Details The Schmidt Measure as a Tool for Quantifying Multi-Particle Entanglement The Schmidt Measure as a Tool for Quantifying Multi-Particle Entanglement

2000-07-21

arxiv.org/abs/quant-ph/0007081v3

Phys. Rev. A 64 (2001) 022306

Physics

Quantum Physics

4 pages (RevTeX), 2 tables. Title changed

Scientific paper

10.1103/PhysRevA.64.022306

We present a measure of quantum entanglement which is capable of quantifying the degree of entanglement of a multi-partite quantum system. This measure, which is based on a generalization of the Schmidt rank of a pure state, is defined on the full state space and is shown to be an entanglement monotone, that is, it cannot increase under local quantum operations with classical communication and under mixing. For a large class of mixed states this measure of entanglement can be calculated exactly, and it provides a detailed classification of mixed states.

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