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Protocols for tossing a common coin play a key role in the vast majority of implementations of consensus. Even though the common coins in the literature are usually \emph{fair} (they have equal chance of landing heads or tails), we focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-27 Ivan Geffner , Joseph Y. Halpern

Bit commitment is a fundamental cryptographic primitive and a cornerstone for numerous two-party cryptographic protocols, including zero-knowledge proofs. However, it has been proven that unconditionally secure bit commitment, both…

Quantum Physics · Physics 2025-02-20 Ziad Chaoui , Anna Pappa , Matteo Rosati

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

Weak coin flipping (WCF) is a fundamental cryptographic primitive for two-party secure computation, where two distrustful parties need to remotely establish a shared random bit whilst having opposite preferred outcomes. It is the strongest…

Quantum Physics · Physics 2023-01-03 Atul Singh Arora , Jérémie Roland , Chrysoula Vlachou

Weak coin flipping is an important cryptographic primitive$\unicode{x2013}$it is the strongest known secure two-party computation primitive that classically becomes secure only under certain assumptions (e.g. computational hardness), while…

Quantum Physics · Physics 2025-12-03 Atul Singh Arora , Jérémie Roland , Chrysoula Vlachou , Stephan Weis

Leader election between n parties is known to be impossible classically. This work gives a simple algorithm that does it, based on the weak coin flipping protocol with arbitrarily small bias derived by Mochon in 2007, and recently published…

Quantum Physics · Physics 2016-10-21 Maor Ganz

We present a two-state practical quantum bit commitment protocol, the security of which is based on the current technological limitations, namely the nonexistence of either stable long-term quantum memories or nondemolition measurements.…

The relationship between the quantum bit commitment (QBC) and quantum seal (QS) is studied. It is elaborated that QBC and QS are not equivalent, but QS protocols satisfying a stronger unconditional security requirement can lead to an…

Quantum Physics · Physics 2008-04-23 Guang Ping He , Z. D. Wang

Mochon's proof [Moc07] of existence of quantum weak coin flipping with arbitrarily small bias is a fundamental result in quantum cryptography, but at the same time one of the least understood. Though used several times as a black box in…

Quantum Physics · Physics 2014-03-03 Dorit Aharonov , André Chailloux , Maor Ganz , Iordanis Kerenidis , Loïck Magnin

Bit commitment protocols whose security is based on the laws of quantum mechanics alone are generally held to be impossible. In this paper we give a strengthened and explicit proof of this result. We extend its scope to a much larger…

It is believed that superselection rules in quantum mechanics can restrict the possible operation on a qbit. If this was true, the model used by Mayers for the impossibility of bit commitment and by Kitaev for the impossibility of coin…

Quantum Physics · Physics 2007-05-23 Dominic Mayers

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a…

Quantum Physics · Physics 2013-09-02 Vlad Gheorghiu , Barry C. Sanders

We give a cheat sensitive protocol for blind universal quantum computation that is efficient in terms of computational and communication resources: it allows one party to perform an arbitrary computation on a second party's quantum computer…

Quantum Physics · Physics 2013-12-16 Vittorio Giovannetti , Lorenzo Maccone , Tomoyuki Morimae , Terry G. Rudolph

The nature and scope of various impossibility proofs as they relate to real-world situations are discussed. In particular, it is shown in words without technical symbols how secure quantum bit commitment protocols may be obtained with…

Quantum Physics · Physics 2008-08-15 Horace P. Yuen

In this article, we review several aspects of composability in the context of quantum cryptography. The first part is devoted to key distribution. We discuss the security criteria that a quantum key distribution protocol must fulfill to…

Quantum Physics · Physics 2010-06-14 Joern Mueller-Quade , Renato Renner

Bit commitment is a fundamental cryptographic task that guarantees a secure commitment between two mutually mistrustful parties and is a building block for many cryptographic primitives, including coin tossing, zero-knowledge proofs,…

It is shown that with the use of entanglement a specific two party communication task can be done with a systematically smaller expected error than any possible classical protocol could do. The example utilises the very tight correlation…

Quantum Physics · Physics 2007-05-23 Lucien Hardy , Wim van Dam

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

A bit string commitment protocol securely commits $N$ classical bits in such a way that the recipient can extract only $M<N$ bits of information about the string. Classical reasoning might suggest that bit string commitment implies bit…

Quantum Physics · Physics 2009-11-07 Adrian Kent

The commitment of bits between two mutually distrustful parties is a powerful cryptographic primitive with which many cryptographic objectives can be achieved. It is widely believed that unconditionally secure quantum bit commitment is…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen