dorsal/arxiv
View SchemaOne-qubit fingerprinting schemes
| Authors | J. Niel de Beaudrap |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309036 |
| URL | https://arxiv.org/abs/quant-ph/0309036 |
| DOI | 10.1103/PhysRevA.69.022307 |
| Journal | Phys. Rev. A 69, 022307 (2004) |
Abstract
Fingerprinting is a technique in communication complexity in which two parties (Alice and Bob) with large data sets send short messages to a third party (a referee), who attempts to compute some function of the larger data sets. For the equality function, the referee attempts to determine whether Alice's data and Bob's data are the same. In this paper, we consider the extreme scenario of performing fingerprinting where Alice and Bob both send either one bit (classically) or one qubit (in the quantum regime) messages to the referee for the equality problem. Restrictive bounds are demonstrated for the error probability of one-bit fingerprinting schemes, and show that it is easy to construct one-qubit fingerprinting schemes which can outperform any one-bit fingerprinting scheme. The author hopes that this analysis will provide results useful for performing physical experiments, which may help to advance implementations for more general quantum communication protocols.
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"abstract": "Fingerprinting is a technique in communication complexity in which two\nparties (Alice and Bob) with large data sets send short messages to a third\nparty (a referee), who attempts to compute some function of the larger data\nsets. For the equality function, the referee attempts to determine whether\nAlice\u0027s data and Bob\u0027s data are the same. In this paper, we consider the\nextreme scenario of performing fingerprinting where Alice and Bob both send\neither one bit (classically) or one qubit (in the quantum regime) messages to\nthe referee for the equality problem. Restrictive bounds are demonstrated for\nthe error probability of one-bit fingerprinting schemes, and show that it is\neasy to construct one-qubit fingerprinting schemes which can outperform any\none-bit fingerprinting scheme. The author hopes that this analysis will provide\nresults useful for performing physical experiments, which may help to advance\nimplementations for more general quantum communication protocols.",
"arxiv_id": "quant-ph/0309036",
"authors": [
"J. Niel de Beaudrap"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.022307",
"journal_ref": "Phys. Rev. A 69, 022307 (2004)",
"title": "One-qubit fingerprinting schemes",
"url": "https://arxiv.org/abs/quant-ph/0309036"
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