Quantum encryption and generalized Shannon impossibility
Designs, Codes and Cryptography(2019)
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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