English

The Bound of Entanglement of Superpositions with More Than Two Components

Quantum Physics 2009-11-13 v2

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0701188,
  title  = {The Bound of Entanglement of Superpositions with More Than Two Components},
  author = {Yang Xiang and Shi-Jie Xiong and Fang-Yu Hong},
  journal= {arXiv preprint arXiv:quant-ph/0701188},
  year   = {2009}
}

Comments

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