Using Quantum Oblivious Transfer to Cheat Sensitive Quantum Bit Commitment

Authors Andreas Jakoby, Maciej Liskiewicz, Aleksander Madry



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Andreas Jakoby
Maciej Liskiewicz
Aleksander Madry

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Andreas Jakoby, Maciej Liskiewicz, and Aleksander Madry. Using Quantum Oblivious Transfer to Cheat Sensitive Quantum Bit Commitment. In Complexity of Boolean Functions. Dagstuhl Seminar Proceedings, Volume 6111, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)
https://doi.org/10.4230/DagSemProc.06111.21

Abstract

We define $(varepsilon,delta)$-secure quantum computations between two parties that can play dishonestly to maximise advantage $delta$, however keeping small the probability $varepsilon$ that the computation fails in evaluating correct value. We present a simple quantum protocol for computing one-out-of-two oblivious transfer that is $(O(sqrt{varepsilon}),varepsilon)$-secure. Using the protocol as a black box we construct a scheme for cheat sensitive quantum bit commitment which guarantee that a mistrustful party has a nonzero probability of detecting a cheating.
Keywords
  • Two-Party Computations
  • Quantum Protocols
  • Bit Commitment
  • Oblivious Transfer.

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