dorsal/arxiv
View SchemaOptimal Encryption of Quantum Bits
| Authors | P. Oscar Boykin, Vwani Roychowdhury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003059 |
| URL | https://arxiv.org/abs/quant-ph/0003059 |
| DOI | 10.1103/PhysRevA.67.042317 |
| Journal | Phys. Rev. A 67, 042317 (2003) |
Abstract
We characterize the complete set of protocols that may be used to securely encrypt n quantum bits using secret and random classical bits. In addition to the application of such quantum encryption protocols to quantum data security, our framework allows for generalizations of many classical cryptographic protocols to quantum data. We show that the encrypted state gives no information without the secret classical data, and that 2n random classical bits are the minimum necessary for informationally secure quantum encryption. Moreover, the quantum operations are shown to have a surprising structure in a canonical inner product space. This quantum encryption protocol is a generalization of the classical one time pad concept. A connection is made between quantum encryption and quantum teleportation, and this allows for a new proof of optimality of teleportation.
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"abstract": "We characterize the complete set of protocols that may be used to securely\nencrypt n quantum bits using secret and random classical bits. In addition to\nthe application of such quantum encryption protocols to quantum data security,\nour framework allows for generalizations of many classical cryptographic\nprotocols to quantum data. We show that the encrypted state gives no\ninformation without the secret classical data, and that 2n random classical\nbits are the minimum necessary for informationally secure quantum encryption.\nMoreover, the quantum operations are shown to have a surprising structure in a\ncanonical inner product space. This quantum encryption protocol is a\ngeneralization of the classical one time pad concept. A connection is made\nbetween quantum encryption and quantum teleportation, and this allows for a new\nproof of optimality of teleportation.",
"arxiv_id": "quant-ph/0003059",
"authors": [
"P. Oscar Boykin",
"Vwani Roychowdhury"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042317",
"journal_ref": "Phys. Rev. A 67, 042317 (2003)",
"title": "Optimal Encryption of Quantum Bits",
"url": "https://arxiv.org/abs/quant-ph/0003059"
},
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