Quantum probabilistic encryption scheme based on conjugate coding

TL;DR

This paper introduces a quantum probabilistic encryption scheme based on conjugate coding, analyzing its security against various attacks and discussing its implications for quantum cryptography.

Contribution

It proposes a novel quantum probabilistic encryption scheme using conjugate coding and provides security analysis against key and plaintext attacks.

Findings

The scheme resists key attack via no-signalling principle.

It is secure against plaintext attack based on information-theoretic indistinguishability.

A conjecture is made about Breidbart's attack security.

Abstract

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.