Indistinguishability and semantic security for quantum encryption scheme

TL;DR

This paper formalizes security definitions for quantum encryption schemes, establishing conditions for indistinguishability and semantic security, and proves their equivalence in the quantum context.

Contribution

It provides a systematic framework for defining and analyzing security notions in quantum encryption, including necessary and sufficient conditions for information-theoretic security.

Findings

Established a necessary and sufficient condition for quantum indistinguishability.

Proved the equivalence between indistinguishability and semantic security in quantum encryption.

Unified security definitions across different security models in quantum cryptography.

Abstract

We investigate the definition of security for encryption scheme in quantum context. We systematically define the indistinguishability and semantic security for quantum public-key and private-key encryption schemes, and for computational security, physical security and information-theoretic security. Based on our definition, we present a necessary and sufficient condition that leads to information-theoretic indistinguishability for quantum encryption scheme. The equivalence between the indistinguishability and semantic security of quantum encryption scheme is also proved.