Quantum one-time programs

Broadbent, Anne, Gutoski, Gus, & Stebila, Douglas (2013) Quantum one-time programs. Lecture Notes in Computer Science [Advances in Cryptology - CRYPTO 2013: 33rd Annual Cryptology Conference, Santa Barbara, CA, USA, August 18-22, 2013. Proceedings, Part II], 8043, pp. 344-360.

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Abstract

A one-time program is a hypothetical device by which a user may evaluate a circuit on exactly one input of his choice, before the device self-destructs. One-time programs cannot be achieved by software alone, as any software can be copied and re-run. However, it is known that every circuit can be compiled into a one-time program using a very basic hypothetical hardware device called a one-time memory. At first glance it may seem that quantum information, which cannot be copied, might also allow for one-time programs. But it is not hard to see that this intuition is false: one-time programs for classical or quantum circuits based solely on quantum information do not exist, even with computational assumptions.

This observation raises the question, "what assumptions are required to achieve one-time programs for quantum circuits?" Our main result is that any quantum circuit can be compiled into a one-time program assuming only the same basic one-time memory devices used for classical circuits. Moreover, these quantum one-time programs achieve statistical universal composability (UC-security) against any malicious user. Our construction employs methods for computation on authenticated quantum data, and we present a new quantum authentication scheme called the trap scheme for this purpose. As a corollary, we establish UC-security of a recent protocol for delegated quantum computation.

Impact and interest:

9 citations in Scopus
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ID Code: 62024
Item Type: Journal Article
Refereed: Yes
Additional Information: Book Subtitle: 33rd Annual Cryptology Conference, Santa Barbara, CA, USA, August 18-22, 2013. Proceedings, Part II--
This article is a minor revision of the version published by Springer-Verlag available at http://dx.doi.org/10.1007/978-3-642-40084-1_20.
Additional URLs:
Keywords: quantum cryptography, one-time programs
DOI: 10.1007/978-3-642-40084-1_20
ISBN: 9783642400834
ISSN: 0302-9743
Subjects: Australian and New Zealand Standard Research Classification > PHYSICAL SCIENCES (020000) > QUANTUM PHYSICS (020600) > Quantum Information Computation and Communication (020603)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTATION THEORY AND MATHEMATICS (080200) > Computation Theory and Mathematics not elsewhere classified (080299)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Data Encryption (080402)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > Institutes > Institute for Future Environments
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 IACR
Copyright Statement:

This is the author-version of the work.

Conference proceedings published, by Springer Verlag, will be available via http://www.springer.de/comp/lncs/

Deposited On: 25 Aug 2013 22:52
Last Modified: 06 Sep 2014 02:24

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