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Quantum homomorphic encryption from quantum codes

Research paper by Yingkai Ouyang, Si-Hui Tan, Joseph Fitzsimons

Indexed on: 11 Nov '15Published on: 11 Nov '15Published in: Quantum Physics



Abstract

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems are intractable. Here we present a quantum encryption scheme which is homomorphic for arbitrary classical and quantum circuits which have at most some constant number of non-Clifford gates. Unlike classical schemes, the security of the scheme we present is information theoretic, satisfying entropic security definitions, and hence independent of the computational power of an adversary.