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• W2022668520 abstract "Unconditionally secure nonrelativistic bit commitment is known to be impossible in both the classical and the quantum world. However, when committing to a string of n bits at once, how far can we stretch the quantum limits? In this Letter, we introduce a framework of quantum schemes where Alice commits a string of n bits to Bob, in such a way that she can only cheat on a bits and Bob can learn at most b bits of information before the reveal phase. Our results are twofold: we show by an explicit construction that in the traditional approach, where the reveal and guess probabilities form the security criteria, no good schemes can exist: a + b is at least n. If, however, we use a more liberal criterion of security, the accessible information, we construct schemes where a = 4log2(n) + O(1) and b = 4, which is impossible classically. Our findings significantly extend known no-go results for quantum bit commitment." @default.
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• W2022668520 date "2006-12-19" @default.
• W2022668520 modified "2023-10-18" @default.
• W2022668520 title "Security of Quantum Bit String Commitment Depends on the Information Measure" @default.
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• W2022668520 doi "https://doi.org/10.1103/physrevlett.97.250501" @default.
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