The Bound of Entanglement of Superpositions with More Than Two Components

Details The Bound of Entanglement of Superpositions with More Than Two Components The Bound of Entanglement of Superpositions with More Than Two Components

2007-01-26

arxiv.org/abs/quant-ph/0701188v2

Physics

Quantum Physics

5 pages;v2: version to be pulished in The European Physical Journal D

Scientific paper

10.1140/epjd/e2008-00022-6

A bipartite quantum state (for two systems in any dimensions) can be decomposed as a superposition of many components. For a superposition of more than two components we prove that there is a bound of the entanglement of the superposition state which can be expressed according to entanglements of its component states. Especially, if the component states are mutually bi-orthogonal, the entanglement of the superposition state can be exactly given in terms of the entanglements of the states being superposed.

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