dorsal/arxiv
View SchemaA classical analogue of entanglement
| Authors | Daniel Collins, Sandu Popescu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107082 |
| URL | https://arxiv.org/abs/quant-ph/0107082 |
| DOI | 10.1103/PhysRevA.65.032321 |
| Journal | Phys. Rev. A 65, 032321 (2002) |
Abstract
We show that quantum entanglement has a very close classical analogue, namely secret classical correlations. The fundamental analogy stems from the behavior of quantum entanglement under local operations and classical communication and the behavior of secret correlations under local operations and public communication. A large number of derived analogies follow. In particular teleportation is analogous to the one-time-pad, the concept of ``pure state'' exists in the classical domain, entanglement concentration and dilution are essentially classical secrecy protocols, and single copy entanglement manipulations have such a close classical analog that the majorization results are reproduced in the classical setting. This analogy allows one to import questions from the quantum domain into the classical one, and vice-versa, helping to get a better understanding of both. Also, by identifying classical aspects of quantum entanglement it allows one to identify those aspects of entanglement which are uniquely quantum mechanical.
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"abstract": "We show that quantum entanglement has a very close classical analogue, namely\nsecret classical correlations. The fundamental analogy stems from the behavior\nof quantum entanglement under local operations and classical communication and\nthe behavior of secret correlations under local operations and public\ncommunication. A large number of derived analogies follow. In particular\nteleportation is analogous to the one-time-pad, the concept of ``pure state\u0027\u0027\nexists in the classical domain, entanglement concentration and dilution are\nessentially classical secrecy protocols, and single copy entanglement\nmanipulations have such a close classical analog that the majorization results\nare reproduced in the classical setting. This analogy allows one to import\nquestions from the quantum domain into the classical one, and vice-versa,\nhelping to get a better understanding of both. Also, by identifying classical\naspects of quantum entanglement it allows one to identify those aspects of\nentanglement which are uniquely quantum mechanical.",
"arxiv_id": "quant-ph/0107082",
"authors": [
"Daniel Collins",
"Sandu Popescu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.032321",
"journal_ref": "Phys. Rev. A 65, 032321 (2002)",
"title": "A classical analogue of entanglement",
"url": "https://arxiv.org/abs/quant-ph/0107082"
},
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