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arXiv · 1809.08719

Further Limitations on Information-Theoretically Secure Quantum Homomorphic Encryption

Michael Newman
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Abstract

In this brief note, we review and extend existing limitations on information-theoretically (IT) secure quantum fully homomorphic encryption (QFHE). The essential ingredient remains Nayak's bound, which provides a tradeoff between the number of homomorphically implementable functions of an IT-secure QHE scheme and its efficiency. Importantly, the bound is robust to imperfect IT-security guarantees. We summarize these bounds in the context of existing QHE schemes, and discuss subtleties of the imposed restrictions.

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Michael Newman. 2018-09-24. Further Limitations on Information-Theoretically Secure Quantum Homomorphic Encryption. https://arxiv.org/abs/1809.08719

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