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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

We show that the existence of a coin-flipping protocol safe against \emph{any} non-trivial constant bias (\eg $.499$) implies the existence of one-way functions. This improves upon a recent result of Haitner and Omri [FOCS '11], who proved…

Cryptography and Security · Computer Science 2021-05-05 Itay Berman , Iftach Haitner , Aris Tentes

In a distributed coin-flipping protocol, Blum [ACM Transactions on Computer Systems '83], the parties try to output a common (close to) uniform bit, even when some adversarially chosen parties try to bias the common output. In an adaptively…

Cryptography and Security · Computer Science 2024-10-29 Iftach Haitner , Yonatan Karidi-Heller

Random selection, leader election, and collective coin flipping are fundamental tasks in fault-tolerant distributed computing. We study these problems in the full-information model where despite decades of study, key gaps remain in our…

Computational Complexity · Computer Science 2026-04-30 Eshan Chattopadhyay , Mohit Gurumukhani , Noam Ringach , Rocco A. Servedio

Coin-flipping is a fundamental cryptographic task where a spatially separated Alice and Bob wish to generate a fair coin-flip over a communication channel. It is known that ideal coin-flipping is impossible in both classical and quantum…

Quantum Physics · Physics 2020-10-28 Jamie Sikora , John H. Selby

We devised a protocol that allows two parties, who may malfunction or intentionally convey incorrect information in communication through a quantum channel, to verify each other's measurements and agree on each other's results. This has…

Quantum Physics · Physics 2023-09-07 Kazuki Ikeda , Adam Lowe

In this paper, we present a semi-loss-tolerant strong quantum coin-flipping (QCF) protocol with the best bias of 0.3536. Our manuscript applies Quantum non-demolition (QND) measurement to quantum coin-flipping protocol. Furthermore, a…

Quantum Physics · Physics 2014-03-21 Qian Yang , Jia-Jun Ma , Fen-Zhuo Guo , Qiao-Yan Wen

We review the quantum version of a well known problem of cryptography called coin tossing (``flipping a coin via telephone''). It can be regarded as a game where two remote players (who distrust each other) tries to generate a uniformly…

Quantum Physics · Physics 2007-05-23 C. Doescher , M. Keyl

In the literature, strong coin tossing protocols based on bit commitment have been proposed. Here we examine a protocol that instead tries to achieve the task by sharing entanglement securely. The protocol uses only qubits, and has bias…

Quantum Physics · Physics 2007-05-23 Roger Colbeck

We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source of truly random bits $x \in \bits^n$, and $k$ parties, who have noisy versions of the source bits $y^i \in \bits^n$, where for all $i$ and…

Probability · Mathematics 2007-05-23 Elchanan Mossel , Ryan O'Donnell

In a multiparty fair coin-flipping protocol, the parties output a common (close to) unbiased bit, even when some corrupted parties try to bias the output. Cleve [STOC 1986] has shown that in the case of dishonest majority (i.e., at least…

Cryptography and Security · Computer Science 2021-05-05 Iftach Haitner , Eliad Tsfadia

A two-party coin-flipping protocol is $\epsilon$-fair if no efficient adversary can bias the output of the honest party (who always outputs a bit, even if the other party aborts) by more than $\epsilon$. Cleve [STOC '86] showed that…

Cryptography and Security · Computer Science 2021-05-04 Iftach Haitner , Nikolaos Makriyannis , Eran Omri

In a multi-party fair coin-flipping protocol, the parties output a common (close to) unbiased bit, even when some adversarial parties try to bias the output. In this work we focus on the case of an arbitrary number of corrupted parties.…

Cryptography and Security · Computer Science 2022-06-20 Niv Buchbinder , Iftach Haitner , Nissan Levi , Eliad Tsfadia

We speculate what quantum information protocols can be implemented between two accelerating observers using the vacuum. Whether it is in principle possible or not to implement a protocol depends on whether the aim is to end up with…

Quantum Physics · Physics 2007-05-23 Xiatra Anderson , S. J. van Enk , Terry Rudolph

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

In this letter we present the first implementation of a quantum coin tossing protocol. This protocol belongs to a class of ``two-party'' cryptographic problems, where the communication partners distrust each other. As with a number of such…

Quantum Physics · Physics 2015-02-11 G. Molina-Terriza , A. Vaziri , R. Ursin , A. Zeilinger

We use the venerable "fooling set" method to prove new lower bounds on the quantum communication complexity of various functions. Let f:X x Y-->{0,1} be a Boolean function, fool^1(f) its maximal fooling set size among 1-inputs, Q_1^*(f) its…

Quantum Physics · Physics 2012-09-26 Hartmut Klauck , Ronald de Wolf

We discuss the security implications of noise for quantum coin tossing protocols. We find that if quantum error correction can be used, so that noise levels can be made arbitrarily small, then reasonable security conditions for coin tossing…

Quantum Physics · Physics 2009-11-10 Jonathan Barrett , Serge Massar

The realization of devices which harness the laws of quantum mechanics represents an exciting challenge at the interface of modern technology and fundamental science. An exemplary paragon of the power of such quantum primitives is the…

Quantum Physics · Physics 2012-11-21 Fernando Pastawski , Norman Y. Yao , Liang Jiang , Mikhail D. Lukin , J. Ignacio Cirac

Unconditionally secure bit commitment and coin flipping are known to be impossible in the classical world. Bit commitment is known to be impossible also in the quantum world. We introduce a related new primitive - {\em quantum bit escrow}.…

Quantum Physics · Physics 2007-05-23 Dorit Aharonov , Amnon Ta-Shma , Umesh Vazirani , Andrew Yao