dorsal/arxiv
View SchemaThe Entanglement of Superpositions
| Authors | Noah Linden, Sandu Popescu, John A. Smolin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507049 |
| URL | https://arxiv.org/abs/quant-ph/0507049 |
| DOI | 10.1103/PhysRevLett.97.100502 |
Abstract
Given a bipartite quantum state (in arbitrary dimension) and a decomposition of it as a superposition of two others, we find bounds on the entanglement of the superposition state in terms of the entanglement of the states being superposed. In the case that the two states being superposed are bi-orthogonal, the answer is simple, and, for example, the entanglement of the superposition cannot be more than one e-bit more than the average of the entanglement of the two states being superposed. However for more general states, the situation is very different.
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"abstract": "Given a bipartite quantum state (in arbitrary dimension) and a decomposition\nof it as a superposition of two others, we find bounds on the entanglement of\nthe superposition state in terms of the entanglement of the states being\nsuperposed. In the case that the two states being superposed are bi-orthogonal,\nthe answer is simple, and, for example, the entanglement of the superposition\ncannot be more than one e-bit more than the average of the entanglement of the\ntwo states being superposed. However for more general states, the situation is\nvery different.",
"arxiv_id": "quant-ph/0507049",
"authors": [
"Noah Linden",
"Sandu Popescu",
"John A. Smolin"
],
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"quant-ph"
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"doi": "10.1103/PhysRevLett.97.100502",
"title": "The Entanglement of Superpositions",
"url": "https://arxiv.org/abs/quant-ph/0507049"
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