TY - CONF T1 - Computational Security of Quantum Encryption T2 - Computational Security of Quantum Encryption. In: Nascimento A., Barreto P. (eds) Information Theoretic Security. Y1 - 2016 A1 - Gorjan Alagic A1 - Anne Broadbent A1 - Bill Fefferman A1 - Tommaso Gagliardoni A1 - Christian Schaffner A1 - Michael St. Jules AB -

Quantum-mechanical devices have the potential to transform cryptography. Most research in this area has focused either on the information-theoretic advantages of quantum protocols or on the security of classical cryptographic schemes against quantum attacks. In this work, we initiate the study of another relevant topic: the encryption of quantum data in the computational setting. In this direction, we establish quantum versions of several fundamental classical results. First, we develop natural definitions for private-key and public-key encryption schemes for quantum data. We then define notions of semantic security and indistinguishability, and, in analogy with the classical work of Goldwasser and Micali, show that these notions are equivalent. Finally, we construct secure quantum encryption schemes from basic primitives. In particular, we show that quantum-secure one-way functions imply IND-CCA1-secure symmetric-key quantum encryption, and that quantum-secure trapdoor one-way permutations imply semantically-secure public-key quantum encryption.

JA - Computational Security of Quantum Encryption. In: Nascimento A., Barreto P. (eds) Information Theoretic Security. UR - https://link.springer.com/chapter/10.1007%2F978-3-319-49175-2_3 ER -