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arXiv 0708.0709quant-ph
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有限资源量子密码:单向后处理离散变量协议的无条件安全界

Quantum cryptography with finite resources: unconditional security bound for discrete-variable protocols with one-way post-processing

Valerio Scarani, Renato Renner

摘要:

基于一个可组合的、具有操作意义的安全性定义,推导出了有限资源量子密钥分发系统在单向后处理下的安全性界。虽然我们的证明依赖于集体攻击的假设,但无条件安全性立即遵循Bennett-Bennard 1984和六状态等标准协议。对于这种协议的单量子比特实现,我们发现当至少N个\sim 10 ^5信号被交换和处理时,密钥速率变为正。对于任何其他离散变量协议,可以使用指数de Finetti定理获得无条件安全性,但额外的开销导致非常悲观的估计。

英文摘要:

We derive a bound for the security of QKD with finite resources under one-way post-processing, based on a definition of security that is composable and has an operational meaning. While our proof relies on the assumption of collective attacks, unconditional security follows immediately for standard protocols like Bennett-Brassard 1984 and six-states. For single-qubit implementations of such protocols, we find that the secret key rate becomes positive when at least N\sim 10^5 signals are exchanged and processed. For any other discrete-variable protocol, unconditional security can be obtained using the exponential de Finetti theorem, but the additional overhead leads to very pessimistic estimates.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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