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Further Limitations on Information-Theoretically Secure Quantum Homomorphic Encryption

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arxiv 1809.08719 v1 pith:CY2LJMK4 submitted 2018-09-24 quant-ph

classification quant-ph
keywords boundencryptionexistinghomomorphicinformation-theoreticallylimitationsquantumsecure
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum preprocessing for information-theoretic security in two-party computation

    quant-ph 2019-08 conditional novelty 6.0 of 10

    Checked quantum preprocessing generates one-time tables and gives asymptotically secure two-party computation, including interactive quantum homomorphic encryption, without a trusted initializer.

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