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We present a new protocol and two lower bounds for quantum coin flipping. In our protocol, no dishonest party can achieve one outcome with probability more than 0.75. Then, we show that our protocol is optimal for a certain type of quantum…

Quantum Physics · Physics 2008-05-12 Andris Ambainis

In this paper, we present a loss-tolerant quantum strong coin flipping protocol with bias 0.359. This is an improvement over Berlin etal's protocol [BBBG08] which achieves a bias of 0.4. To achieve this, we extend Berlin et al.'s protocol…

Quantum Physics · Physics 2011-03-15 André Chailloux

We generalize the problem of coin flipping to more than two outcomes and parties. We term this problem dice rolling, and study both its weak and strong variants. We prove by construction that in quantum settings (i) weak N-sided dice…

Quantum Physics · Physics 2015-05-14 N. Aharon , J. Silman

We present a family of loss-tolerant quantum strong coin flipping protocols; each protocol differing in the number of qubits employed. For a single qubit we obtain a bias of 0.4, reproducing the result of Berl\'{i}n et al. [Phys. Rev. A 80,…

Quantum Physics · Physics 2010-12-24 N. Aharon , S. Massar , J. Silman

Coin-flipping is a cryptographic task in which two physically separated, mistrustful parties wish to generate a fair coin-flip by communicating with each other. Chailloux and Kerenidis (2009) designed quantum protocols that guarantee…

Optimization and Control · Mathematics 2018-03-22 Ashwin Nayak , Jamie Sikora , Levent Tunçel

Quantum protocols for coin-flipping can be composed in series in such a way that a cheating party gains no extra advantage from using entanglement between different rounds. This composition principle applies to coin-flipping protocols with…

Quantum Physics · Physics 2007-05-23 Carlos Mochon

In this paper, we focus on a special framework for quantum coin flipping protocols,_bit-commitment based protocols_, within which almost all known protocols fit. We show a lower bound of 1/16 for the bias in any such protocol. We also…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Peter Shor

Coin flipping is a cryptographic primitive in which two spatially separated players, who in principle do not trust each other, wish to establish a common random bit. If we limit ourselves to classical communication, this task requires…

Quantum Physics · Physics 2013-05-29 Guido Berlin , Gilles Brassard , Felix Bussieres , Nicolas Godbout

We present a quantum protocol for the task of weak coin flipping. We find that, for one choice of parameters in the protocol, the maximum probability of a dishonest party winning the coin flip if the other party is honest is 1/sqrt(2). We…

Quantum Physics · Physics 2009-11-07 R. W. Spekkens , Terry Rudolph

So far, most of existed single-shot quantum coin flipping(QCF) protocols failed in a noisy quantum channel. Here, we present a nested-structured framework that makes it possible to achieve partially noise-tolerant QCF, due to that there is…

Quantum Physics · Physics 2015-08-19 Sheng Zhang , Yuexin Zhang

Weak coin flipping is the cryptographic task where Alice and Bob remotely flip a coin but want opposite outcomes. This work studies this task in the device-independent regime where Alice and Bob neither trust each other, nor their quantum…

Quantum Physics · Physics 2024-04-29 Atul Singh Arora , Jamie Sikora , Thomas Van Himbeeck

Performing complex cryptographic tasks will be an essential element in future quantum communication networks. These tasks are based on a handful of fundamental primitives, such as coin flipping, where two distrustful parties wish to agree…

In this paper, we prove classical coin-flipping secure in the presence of quantum adversaries. The proof uses a recent result of Watrous [Wat09] that allows quantum rewinding for protocols of a certain form. We then discuss two…

Quantum Physics · Physics 2009-10-19 Ivan Damgaard , Carolin Lunemann

While in classical cryptography, one-way functions (OWFs) are widely regarded as the "minimal assumption," the situation in quantum cryptography is less clear. Recent works have put forward two concurrent candidates for the minimal…

Quantum Physics · Physics 2025-05-27 Amit Behera , Giulio Malavolta , Tomoyuki Morimae , Tamer Mour , Takashi Yamakawa

We show that a biased quantum coin flip (QCF) cannot provide the performance of a black-boxed biased coin flip, if it satisfies some fidelity conditions. Although such a QCF satisfies the security conditions of a biased coin flip, it does…

Quantum Physics · Physics 2008-02-20 Satoshi Ishizaka

We define cryptographic assumptions applicable to two mistrustful parties who each control two or more separate secure sites between which special relativity guarantees a time lapse in communication. We show that, under these assumptions,…

Quantum Physics · Physics 2009-10-31 Adrian Kent

Quantum key distribution (QKD) can be used to establish a secret key between trusted parties. Many practical use-cases in communication networks, however, involve parties who do not trust each other. A fundamental cryptographic building…

A proof of quantumness is an efficiently verifiable interactive test that an efficient quantum computer can pass, but all efficient classical computers cannot (under some cryptographic assumption). Such protocols play a crucial role in the…

Quantum Physics · Physics 2024-05-27 Petia Arabadjieva , Alexandru Gheorghiu , Victor Gitton , Tony Metger

Coin flipping is a cryptographic primitive for which strictly better protocols exist if the players are not only allowed to exchange classical, but also quantum messages. During the past few years, several results have appeared which give a…

Quantum Physics · Physics 2011-04-27 Esther Hänggi , Jürg Wullschleger

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