dorsal/arxiv
View SchemaThe Bound of Entanglement of Superpositions with More Than Two Components
| Authors | Yang Xiang, Shi-Jie Xiong, Fang-Yu Hong |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701188 |
| URL | https://arxiv.org/abs/quant-ph/0701188 |
| DOI | 10.1140/epjd/e2008-00022-6 |
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.
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"abstract": "A bipartite quantum state (for two systems in any dimensions) can be\ndecomposed as a superposition of many components. For a superposition of more\nthan two components we prove that there is a bound of the entanglement of the\nsuperposition state which can be expressed according to entanglements of its\ncomponent states. Especially, if the component states are mutually\nbi-orthogonal, the entanglement of the superposition state can be exactly given\nin terms of the entanglements of the states being superposed.",
"arxiv_id": "quant-ph/0701188",
"authors": [
"Yang Xiang",
"Shi-Jie Xiong",
"Fang-Yu Hong"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2008-00022-6",
"title": "The Bound of Entanglement of Superpositions with More Than Two Components",
"url": "https://arxiv.org/abs/quant-ph/0701188"
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