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arXiv:1112.0421

Quantum Public-Key Encryption Schemes Based on Conjugate Coding

Li Yang, Biyao Yang, Chong Xiang

Published Dec 2, 2011• 7 citations
arXivHTMLPDF

Abstract

We present several quantum public-key encryption (QPKE) protocols designed with conjugate coding single-photon string, thus may be realized in laboratory with nowadays techniques. Two of these schemes are orienting one-bit message, and are extended to two kinds of QPKE schemes orienting multi-bits. The novel structure of these protocols ensures they are information-theoretically secure with, probably, a bound greater than any given polynomial of $n$. Finally, we describe a way to conceal the classical part of the public key with quantum state, this idea is expected to enhance a scheme to be information-theoretically secure.

DOI
10.48550/arxiv.1112.0421

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We present several quantum public-key encryption (QPKE) protocols designed with conjugate coding single-photon string, thus may be realized in laboratory with nowadays techniques. Two of these schemes are orienting one-bit message, and are extended to two kinds of QPKE schemes orienting multi-bits. The novel structure of these protocols ensures they are information-theoretically secure with, probably, a bound greater than any given polynomial of nnn. Finally, we describe a way to conceal the classical part of the public key with quantum state, this idea is expected to enhance a scheme to be information-theoretically secure.
We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryption protocols. Here we consider the way it increases the unicity distance of both classical and quantum private-key encryption schemes. The security of quantum probabilistic private-key encryption schemes against two kinds of attacks is analyzed. By using the no-signalling postulate, we show that the scheme can resist attack to the key. The scheme's security against plaintext attack is also investigated by considering the information-theoretic indistinguishability of the encryption scheme. Finally, we make a conjecture regarding Breidbart's attack.
We present a quantum probabilistic encryption algorithm of private-key encryption scheme based on conjugate coding of qubit-string. Usually, probabilistic encryption algorithm is adopted in public-key encryption protocols. Here we consider its function of increasing the unicity distance of both classical and quantum private-key encryption scheme. The security of quantum probabilistic private-key encryption against two kinds of attacks is analyzed. Based on no-signalling postulate we show that the scheme can resist the attack to the key. The protocol's security against plaintext attack is also investigated under the concept of information-theoretic indistinguishability of encryption. Finally, we give a conjecture related with the Breidbart's attack.
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