dorsal/arxiv
View SchemaOn Classical Teleportation and Classical Nonlocality
| Authors | Tal Mor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511172 |
| URL | https://arxiv.org/abs/quant-ph/0511172 |
| DOI | 10.1063/1.2165638 |
| Journal | Int. J. of Quantum Information 4, 161-172 (2006) |
Abstract
An interesting protocol for classical teleportation of an unknown classical state was recently suggested by Cohen, and by Gour and Meyer. In that protocol, Bob can sample from a probability distribution P that is given to Alice, even if Alice has absolutely no knowledge about P. Pursuing a similar line of thought, we suggest here a limited form of nonlocality - "classical nonlocality". Our nonlocality is the (somewhat limited) classical analogue of the Hughston-Jozsa-Wootters (HJW) quantum nonlocality. The HJW nonlocality tells us how, for a given density matrix rho, Alice can generate any rho-ensemble on the North Star. This is done using surprisingly few resources - one shared entangled state (prepared in advance), one generalized quantum measurement, and no communication. Similarly, our classical nonlocality presents how, for a given probability distribution P, Alice can generate any P-ensemble on the North Star, using only one correlated state (prepared in advance), one (generalized) classical measurement, and no communication. It is important to clarify that while the classical teleportation and the classical non-locality protocols are probably rather insignificant from a classical information processing point of view, they significantly contribute to our understanding of what exactly is quantum in their well established and highly famous quantum analogues.
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"abstract": "An interesting protocol for classical teleportation of an unknown classical\nstate was recently suggested by Cohen, and by Gour and Meyer. In that protocol,\nBob can sample from a probability distribution P that is given to Alice, even\nif Alice has absolutely no knowledge about P. Pursuing a similar line of\nthought, we suggest here a limited form of nonlocality - \"classical\nnonlocality\". Our nonlocality is the (somewhat limited) classical analogue of\nthe Hughston-Jozsa-Wootters (HJW) quantum nonlocality. The HJW nonlocality\ntells us how, for a given density matrix rho, Alice can generate any\nrho-ensemble on the North Star. This is done using surprisingly few resources -\none shared entangled state (prepared in advance), one generalized quantum\nmeasurement, and no communication. Similarly, our classical nonlocality\npresents how, for a given probability distribution P, Alice can generate any\nP-ensemble on the North Star, using only one correlated state (prepared in\nadvance), one (generalized) classical measurement, and no communication.\n It is important to clarify that while the classical teleportation and the\nclassical non-locality protocols are probably rather insignificant from a\nclassical information processing point of view, they significantly contribute\nto our understanding of what exactly is quantum in their well established and\nhighly famous quantum analogues.",
"arxiv_id": "quant-ph/0511172",
"authors": [
"Tal Mor"
],
"categories": [
"quant-ph",
"cs.IT",
"math.IT"
],
"doi": "10.1063/1.2165638",
"journal_ref": "Int. J. of Quantum Information 4, 161-172 (2006)",
"title": "On Classical Teleportation and Classical Nonlocality",
"url": "https://arxiv.org/abs/quant-ph/0511172"
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