Qcrypt 2022: Contributed Talk49
Privacy and correctness trade-offs for information-theoretically secure quantum homomorphic encryption
Authors:
Yanglin Hu (National University of Singapore); Yingkai Ouyang (National University of Singapore); Marco Tomamichel (National University of Singapore)
Abstract:
Quantum homomorphic encryption is a fundamental quantum cryptographic primitive from which more complex quantum cryptography protocols can be built. While circuit privacy is well-studied in the classical cryptography community, its quantum analogue has received little attention. Here we establish a definition of circuit privacy for quantum homomorphic encryption with information-theoretic security. Furthermore, we reduce quantum oblivious transfer to quantum homomorphic encryption. With the reduction, our work discovers trade-offs between the circuit privacy, correctness and data privacy of a broad family of quantum homomorphic encryption protocols.
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