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arXiv 0804.3082quant-ph
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量子通信中光测量的挤压模型

Squashing Models for Optical Measurements in Quantum Communication

Normand J. Beaudry, Tobias Moroder, Norbert Lütkenhaus

摘要:

用光电探测器的测量必然需要在一个或几个模式的无限维Fock空间中描述。对于某些测量,假设了一个模型,该模型将全模式测量描述为将信号映射(挤压)到小维度希尔伯特空间中的组合,随后是指定的目标测量。我们提出了一种形式主义,调查是否一个给定的测量对模式和目标测量可以连接的挤压模型。我们表明,BB84协议中使用的测量允许挤压描述,虽然六态协议不。因此,BB 84协议的安全性证明可以基于窃听者最多转发一个光子的假设,而六态协议则不成立。

英文摘要:

Measurements with photodetectors necessarily need to be described in the infinite dimensional Fock space of one or several modes. For some measurements a model has been postulated which describes the full mode measurement as a composition of a mapping (squashing) of the signal into a small dimensional Hilbert space followed by a specified target measurement. We present a formalism to investigate whether a given measurement pair of mode and target measurements can be connected by a squashing model. We show that the measurements used in the BB84 protocol do allow a squashing description, although the six-state protocol does not. As a result, security proofs for the BB84 protocol can be based on the assumption that the eavesdropper forwards at most one photon, while the same does not hold for the six-state protocol.

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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