Cryptology ePrint Archive: Report 2017/960

Unforgeable Quantum Encryption

Gorjan Alagic and Tommaso Gagliardoni and Christian Majenz

Abstract: We study the problem of encrypting and authenticating quantum data in the presence of adversaries making adaptive chosen plaintext and chosen ciphertext queries. Classically, security games use string copying and comparison to detect adversarial cheating in such scenarios. Quantumly, this approach would violate no-cloning. We develop new techniques to overcome this problem: we use entanglement to detect cheating, and rely on recent results for characterizing quantum encryption schemes. We give de nitions for (i.) ciphertext unforgeability , (ii.) indistinguishability under adaptive chosen-ciphertext attack, and (iii.) authenticated encryption. The restriction of each de nition to the classical setting is at least as strong as the corresponding classical notion: (i) implies INT-CTXT, (ii) implies IND-CCA2, and (iii) implies AE. All of our new notions also imply QIND-CPA privacy. Combining one-time authentication and classical pseudorandomness, we construct schemes for each of these new quantum security notions, and provide several separation examples. Along the way, we also give a new de nition of one-time quantum authentication which, unlike all previous approaches, authenticates ciphertexts rather than plaintexts.

Category / Keywords: foundations / quantum encryption, quantum cryptography, quantum CCA2, quantum authenticated encryption, quantum unforgeability

Date: received 29 Sep 2017

Contact author: tog at zurich ibm com

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Version: 20170930:132840 (All versions of this report)

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