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Quantum Machine Learning Quantum Cryptography Security

Further Limitations on Information-Theoretically Secure Quantum Homomorphic Encryption

arXiv
Authors: Michael Newman

Year

2018

Paper ID

7445

Status

Preprint

Abstract Read

~2 min

Abstract Words

71

Citations

N/A

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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  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • In this brief note, we review and extend existing limitations on information-theoretically (IT) secure quantum fully homomorphic encryption (QFHE).

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