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A sequence of spin-1/2 particles polarised in one of two possible directions is presented to an experimenter, who can wager in a double-or-nothing game on the outcomes of measurements in freely chosen polarisation directions. Wealth is…

Quantum Physics · Physics 2023-08-03 Bernhard K Meister , Henry C W Price

Quantum Game Theory provides us with new tools for practising games and some other risk related enterprices like, for example, gambling. The two party gambling protocol presented by Goldenberg {\it et al} is one of the simplest yet still…

Quantum Physics · Physics 2015-06-26 Ireneusz Pakula

Bit commitment is a fundamental cryptographic primitive with numerous applications. Quantum information allows for bit commitment schemes in the information theoretic setting where no dishonest party can perfectly cheat. The previously…

Quantum Physics · Physics 2011-02-09 André Chailloux , Iordanis Kerenidis

We discuss counterintuitive aspects of probabilities for systems of identical particles obeying quantum statistics. Quantum coins and children (two level systems) and quantum dice (many level systems) are used as examples. It is emphasized…

Quantum Physics · Physics 2009-10-31 Chi-Keung Chow , Thomas D. Cohen

We investigate a multi-player and multi-choice quantum game. We start from two-player and two-choice game and the result is better than its classical version. Then we extend it to N-player and N-choice cases. In the quantum domain, we…

Quantum Physics · Physics 2009-11-06 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

We investigate definitions of and protocols for multi-party quantum computing in the scenario where the secret data are quantum systems. We work in the quantum information-theoretic model, where no assumptions are made on the computational…

Quantum Physics · Physics 2007-05-23 Adam Smith

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 a letter to Born, Einstein wrote: "Quantum mechanics is certainly imposing. But an inner voice tells me that it is not yet the real thing. The theory says a lot, but does not really bring us any closer to the secret of the old one. I, at…

Quantum Physics · Physics 2013-07-10 Massimiliano Sassoli de Bianchi

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

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

This paper studies sequential quantum games under the assumption that the moves of the players are drawn from groups and not just plain sets. The extra group structure makes possible to easily derive some very general results characterizing…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos

In a recent paper [1], it has been claimed that the outcomes of a quantum coin toss which is idealized as an infinite binary sequence is 1-random. We also defend the correctness of this claim and assert that the outcomes of quantum…

General Physics · Physics 2021-06-16 İnanç Şahin

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

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

Secure multi-party computing, also called "secure function evaluation", has been extensively studied in classical cryptography. We consider the extension of this task to computation with quantum inputs and circuits. Our protocols are…

Quantum Physics · Physics 2007-05-23 Claude Crepeau , Daniel Gottesman , Adam Smith

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 study the class of protocols for weak quantum coin flipping introduced by Spekkens and Rudolph (quant-ph/0202118). We show that, for any protocol in this class, one party can win the coin flip with probability at least $1/\sqrt{2}$.

Quantum Physics · Physics 2007-05-23 Andris Ambainis

We introduce a multi-coin discrete quantum random walk where the amplitude for a coin flip depends upon previous tosses. Although the corresponding classical random walk is unbiased, a bias can be introduced into the quantum walk by varying…

Quantum Physics · Physics 2009-11-10 Adrian P. Flitney , Derek Abbott , Neil F. Johnson

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

According to the statistical interpretation of quantum theory, quantum computers form a distinguished class of probabilistic machines (PMs) by encoding n qubits in 2n pbits (random binary variables). This raises the possibility of a…

Quantum Physics · Physics 2007-05-23 P. Gralewicz