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DOI: 10.4230/LIPIcs.TQC.2020.4

Uncloneable Quantum Encryption via Oracles

Authors: Anne Broadbent and Sébastien Lord

Published in: LIPIcs, Volume 158, 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020)

Abstract

Quantum information is well known to achieve cryptographic feats that are unattainable using classical information alone. Here, we add to this repertoire by introducing a new cryptographic functionality called uncloneable encryption. This functionality allows the encryption of a classical message such that two collaborating but isolated adversaries are prevented from simultaneously recovering the message, even when the encryption key is revealed. Clearly, such functionality is unattainable using classical information alone. We formally define uncloneable encryption, and show how to achieve it using Wiesner’s conjugate coding, combined with a quantum-secure pseudorandom function (qPRF). Modelling the qPRF as an oracle, we show security by adapting techniques from the quantum one-way-to-hiding lemma, as well as using bounds from quantum monogamy-of-entanglement games.

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Anne Broadbent and Sébastien Lord. Uncloneable Quantum Encryption via Oracles. In 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 158, pp. 4:1-4:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{broadbent_et_al:LIPIcs.TQC.2020.4,
  author =	{Broadbent, Anne and Lord, S\'{e}bastien},
  title =	{{Uncloneable Quantum Encryption via Oracles}},
  booktitle =	{15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020)},
  pages =	{4:1--4:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-146-7},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{158},
  editor =	{Flammia, Steven T.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2020.4},
  URN =		{urn:nbn:de:0030-drops-120639},
  doi =		{10.4230/LIPIcs.TQC.2020.4},
  annote =	{Keywords: Quantum Cryptography, Symmetric Key, Monogamy-of-Entanglement}
}

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Uncloneable Quantum Encryption via Oracles

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