Symmetric quantum fully homomorphic encryption with perfect security

Symmetric quantum fully homomorphic encryption with perfect security Suppose some data have been encrypted, can you compute with the data without decrypting them? This problem has been studied as homomorphic encryption and blind computing. We consider this problem in the context of quantum information processing, and present the definitions of quantum homomorphic encryption (QHE) and quantum fully homomorphic encryption (QFHE). Then, based on quantum one-time pad (QOTP), we construct a symmetric QFHE scheme, where the evaluate algorithm depends on the secret key. This scheme permits any unitary transformation on any $$n$$ n -qubit state that has been encrypted. Compared with classical homomorphic encryption, the QFHE scheme has perfect security. Finally, we also construct a QOTP-based symmetric QHE scheme, where the evaluate algorithm is independent of the secret key. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Symmetric quantum fully homomorphic encryption with perfect security

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Publisher
Springer US
Copyright
Copyright © 2013 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0626-5
Publisher site
See Article on Publisher Site

References

  • On hiding information from an oracle
    Abadi, M; Feigenbaum, J; Kilian, J
  • Computing arbitrary functions of encrypted data
    Gentry, C
  • Efficient and provably secure aggregation of encrypted data in wireless sensor networks
    Castelluccia, C; Chan, AC; Mykletun, E; Tsudik, G

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