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Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum worlds. But when committing to a string of n bits at once, how far can we stretch the quantum limits? In this paper, we…

Quantum Physics · Physics 2008-08-18 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

It is demonstrated that for the entanglement-based version of the Bennett-Brassard (BB84) quantum key distribution protocol, Alice and Bob share provable entanglement if and only if the estimated qubit error rate is below 25% or above 75%.…

Quantum Physics · Physics 2007-05-23 Georgios M. Nikolopoulos , Gernot Alber

Oblivious transfer is a fundamental cryptographic primitive in which Bob transfers one of two bits to Alice in such a way that Bob cannot know which of the two bits Alice has learned. We present an optimal security bound for quantum…

Quantum Physics · Physics 2016-08-31 André Chailloux , Gus Gutoski , Jamie Sikora

The proof of the No-Go Theorem of unconditionally secure quantum bit commitment depends on the assumption that Alice knows every detail of the protocol, including the probability distributions associated with all the random variables…

Quantum Physics · Physics 2019-04-05 Chi-Yee Cheung

The impossibility proof of unconditionally secure quantum bit commitment is crucially dependent on the assertion that Bob is not allowed to generate probability distributions unknown to Alice. This assertion is actually not meaningful,…

Quantum Physics · Physics 2009-11-13 Chi-Yee Cheung

There had been well known claims of unconditionally secure quantum protocols for bit commitment. However, we, and independently Mayers, showed that all proposed quantum bit commitment schemes are, in principle, insecure because the sender,…

Quantum Physics · Physics 2009-10-30 H. -K. Lo , H. F. Chau

We further study the security of the quantum bit commitment (QBC) protocol we previously proposed [Phys. Rev. A 74, 022332 (2006).], by analyzing the reduced density matrix \rho_{b}^{B} which describes the quantum state at Bob's side…

Quantum Physics · Physics 2019-10-02 Guang Ping He

Bit-commitment is a fundamental cryptographic task, in which Alice commits a bit to Bob such that she cannot later change the value of the bit, while, simultaneously, the bit is hidden from Bob. It is known that ideal bit-commitment is…

Quantum Physics · Physics 2018-04-11 Jamie Sikora , John Selby

It is well known that unconditionally secure bit commitment is impossible even in the quantum world. In this paper a weak variant of quantum bit commitment, introduced independently by Aharonov et al. [STOC, 2000] and Hardy and Kent [Phys.…

Quantum Physics · Physics 2007-05-23 Andreas Jakoby , Maciej Liskiewicz , Aleksander Madry

Although it is impossible for a bit commitment protocol to be both arbitrarily concealing and arbitrarily binding, it is possible for it to be both partially concealing and partially binding. This means that Bob cannot, prior to the…

Quantum Physics · Physics 2007-05-23 R. W. Spekkens , T. Rudolph

Unconditionally secure non-relativistic 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,…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

Entanglement-based attacks, which are subtle and powerful, are usually believed to render quantum bit commitment insecure. We point out that the no-go argument leading to this view implicitly assumes the evidence-of-commitment to be a…

Quantum Physics · Physics 2015-06-26 R. Srikanth

An elementary derivation of best eavesdropping strategies for the 4 state BB84 quantum cryptography protocol is presented, for both incoherent and two--qubit coherent attacks. While coherent attacks do not help Eve to obtain more…

Quantum Physics · Physics 2009-10-30 J. I. Cirac , N. Gisin

There had been well known claims of ``provably unbreakable'' quantum protocols for bit commitment and coin tossing. However, we, and independently Mayers, showed that all proposed quantum bit commitment (and therefore coin tossing) schemes…

Quantum Physics · Physics 2008-02-03 Hoi-Kwong Lo , H. F. Chau

In quantum weak oblivious transfer, Alice sends Bob two bits and Bob can learn one of the bits at his choice. It was found that the security of such a protocol is bounded by $2P_{Alice}^{\ast }+P_{Bob}^{\ast }\geq 2$, where $P_{Alice}^{\ast…

Quantum Physics · Physics 2015-06-15 Guang Ping He

Bit commitment is a fundamental cryptographic primitive in which Bob wishes to commit a secret bit to Alice. Perfectly secure bit commitment has been proven impossible through asynchronous exchange of classical and quantum information.…

Quantum Physics · Physics 2014-02-25 T. Lunghi , J. Kaniewski , F. Bussieres , R. Houlmann , M. Tomamichel , A. Kent , N. Gisin , S. Wehner , H. Zbinden

A user, Alice, wants to get server Bob to implement a quantum computation for her. However, she wants to leave him blind to what she's doing. What are the minimal communication resources Alice must use in order to achieve…

Quantum Physics · Physics 2025-10-21 Ethan Davies , Alastair Kay

Bit commitment is a fundamental cryptographic primitive in which Alice wishes to commit a secret bit to Bob. Perfectly secure bit commitment between two mistrustful parties is impossible through asynchronous exchange of quantum information.…

The no-go theorem of unconditionally secure quantum bit commitment depends crucially on the assumption that Alice knows in detail all the probability distributions generated by Bob. We show that if a protocol is concealing, then the…

Quantum Physics · Physics 2007-05-23 Chi-Yee Cheung

This paper proposes a cheat sensitive quantum bit commitment (CSQBC) scheme based on single photons, in which Alice commits a bit to Bob. Here, Bob only can cheat the committed bit with probability close to $0$ with the increasing of used…

Quantum Physics · Physics 2015-06-22 Yan-Bing Li , Sheng-Wei Xu , Wei Huang , Zhong-Jie Wan
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