Quantum Encryption and Generalized Quantum Shannon Impossibility.
arXiv: Information Theory(2018)
摘要
The famous Shannon impossibility result says that any encryption scheme with perfect secrecy requires a secret key at least as long as the message. In this paper we provide its quantum analogue with imperfect secrecy and imperfect correctness. We also give a systematic study of information-theoretically secure quantum encryption with two secrecy definitions. We show that the weaker one implies the stronger but with a security loss in $d$, where $d$ is the dimension of the encrypted quantum system. This is good enough if the target secrecy error is of $o(d^{-1})$.
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关键词
Shannon impossibility, Information-theoretic security, Key length, Quantum one-time pad, 94A60, 81P94
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