dorsal/arxiv
View SchemaPractical Quantum Cryptography: A Comprehensive Analysis (Part One)
| Authors | G. Gilbert, M. Hamrick |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009027 |
| URL | https://arxiv.org/abs/quant-ph/0009027 |
Abstract
We perform a comprehensive analysis of practical quantum cryptography (QC) systems implemented in actual physical environments via either free-space or fiber-optic cable quantum channels for ground-ground, ground-satellite, air-satellite and satellite-satellite links. (1) We obtain universal expressions for the effective secrecy capacity and rate for QC systems taking into account three important attacks on individual quantum bits, including explicit closed-form expressions for the requisite amount of privacy amplification. Our analysis also includes the explicit calculation in detail of the total cost in bits of continuous authentication, thereby obtaining new results for actual ciphers of finite length. (2) We perform for the first time a detailed, explicit analysis of all systems losses due to propagation, errors, noise, etc. as appropriate to both optical fiber cable- and satellite communications-based implementations of QC. (3) We calculate for the first time all system load costs associated to classical communication and computational constraints that are ancillary to, but essential for carrying out, the pure QC protocol itself. (4) We introduce an extended family of generalizations of the Bennett-Brassard (BB84) QC protocol that equally provide unconditional secrecy but allow for the possibility of optimizing throughput rates against specific cryptanalytic attacks. (5) We obtain universal predictions for maximal rates that can be achieved with practical system designs under realistic environmental conditions. (6) We propose a specific QC system design that includes the use of a novel method of high-speed photon detection that may be able to achieve very high throughput rates for actual implementations in realistic environments.
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"abstract": "We perform a comprehensive analysis of practical quantum cryptography (QC)\nsystems implemented in actual physical environments via either free-space or\nfiber-optic cable quantum channels for ground-ground, ground-satellite,\nair-satellite and satellite-satellite links. (1) We obtain universal\nexpressions for the effective secrecy capacity and rate for QC systems taking\ninto account three important attacks on individual quantum bits, including\nexplicit closed-form expressions for the requisite amount of privacy\namplification. Our analysis also includes the explicit calculation in detail of\nthe total cost in bits of continuous authentication, thereby obtaining new\nresults for actual ciphers of finite length. (2) We perform for the first time\na detailed, explicit analysis of all systems losses due to propagation, errors,\nnoise, etc. as appropriate to both optical fiber cable- and satellite\ncommunications-based implementations of QC. (3) We calculate for the first time\nall system load costs associated to classical communication and computational\nconstraints that are ancillary to, but essential for carrying out, the pure QC\nprotocol itself. (4) We introduce an extended family of generalizations of the\nBennett-Brassard (BB84) QC protocol that equally provide unconditional secrecy\nbut allow for the possibility of optimizing throughput rates against specific\ncryptanalytic attacks. (5) We obtain universal predictions for maximal rates\nthat can be achieved with practical system designs under realistic\nenvironmental conditions. (6) We propose a specific QC system design that\nincludes the use of a novel method of high-speed photon detection that may be\nable to achieve very high throughput rates for actual implementations in\nrealistic environments.",
"arxiv_id": "quant-ph/0009027",
"authors": [
"G. Gilbert",
"M. Hamrick"
],
"categories": [
"quant-ph"
],
"title": "Practical Quantum Cryptography: A Comprehensive Analysis (Part One)",
"url": "https://arxiv.org/abs/quant-ph/0009027"
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