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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.…

密码学与安全 · 计算机科学 2022-06-20 Niv Buchbinder , Iftach Haitner , Nissan Levi , Eliad Tsfadia

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…

量子物理 · 物理学 2020-10-28 Jamie Sikora , John H. Selby

The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error correcting code which takes advantage of this asymmetry and shows good performance at…

量子物理 · 物理学 2015-06-26 Lev Ioffe , Marc Mezard

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…

密码学与安全 · 计算机科学 2024-10-29 Iftach Haitner , Yonatan Karidi-Heller

After a general introduction, the thesis is divided into four parts. In the first, we discuss the task of coin tossing, principally in order to highlight the effect different physical theories have on security in a straightforward manner,…

量子物理 · 物理学 2011-03-02 Roger Colbeck

A k-wise independent distribution on n bits is a joint distribution of the bits such that each k of them are independent. In this paper we consider k-wise independent distributions with identical marginals, each bit has probability p to be…

概率论 · 数学 2011-08-02 Ron Peled , Ariel Yadin , Amir Yehudayoff

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…

量子物理 · 物理学 2007-05-23 C. Doescher , M. Keyl

Weak coin flipping is a cryptographic primitive in which two mutually distrustful parties generate a shared random bit to agree on a winner via remote communication. While a stand-alone secure weak coin flipping protocol can be constructed…

量子物理 · 物理学 2025-06-25 Jiawei Wu , Yanglin Hu , Akshay Bansal , Marco Tomamichel

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…

量子物理 · 物理学 2009-11-07 R. W. Spekkens , Terry Rudolph

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,…

量子物理 · 物理学 2010-12-24 N. Aharon , S. Massar , J. Silman

Weak coin flipping is among the fundamental cryptographic primitives which ensure the security of modern communication networks. It allows two mistrustful parties to remotely agree on a random bit when they favor opposite outcomes. Unlike…

量子物理 · 物理学 2020-08-21 Mathieu Bozzio , Ulysse Chabaud , Iordanis Kerenidis , Eleni Diamanti

The full-information model was introduced by Ben-Or and Linial in 1985 to study collective coin-flipping: the problem of generating a common bounded-bias bit in a network of $n$ players with $t=t(n)$ faults. They showed that the majority…

密码学与安全 · 计算机科学 2015-05-06 Shafi Goldwasser , Yael Tauman Kalai , Sunoo Park

How can two parties with competing interests carry out a fair coin flip, using only a noiseless quantum channel? This problem (quantum weak coin-flipping) was formalized more than 15 years ago, and, despite some phenomenal theoretical…

量子物理 · 物理学 2020-07-14 Carl A. Miller

Generating random bits from a source of biased coins (the biased is unknown) is a classical question that was originally studied by von Neumann. There are a number of known algorithms that have asymptotically optimal information efficiency,…

信息论 · 计算机科学 2012-09-05 Hongchao Zhou , Jehoshua Bruck

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…

量子物理 · 物理学 2007-05-23 Carlos Mochon

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…

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…

量子物理 · 物理学 2023-09-07 Kazuki Ikeda , Adam Lowe

Consider a coin tossing experiment which consists of tossing one of two coins at a time, according to a renewal process. The first coin is fair and the second has probability $1/2 + \theta$, $\theta \in [-1/2,1/2]$, $\theta$ unknown but…

概率论 · 数学 2019-03-25 Diego Marcondes , Cláudia Peixoto

In the setting of error-correcting codes with feedback, Alice wishes to communicate a $k$-bit message $x$ to Bob by sending a sequence of bits over a channel while noiselessly receiving feedback from Bob. It has been long known (Berlekamp,…

信息论 · 计算机科学 2022-12-14 Meghal Gupta , Venkatesan Guruswami , Rachel Yun Zhang

We consider the problem of guessing a random, finite-alphabet, secret $n$-vector, where the guesses are transmitted via a noisy channel. We provide a single-letter formula for the best achievable exponential growth rate of the $\rho$--th…

信息论 · 计算机科学 2019-10-02 Neri Merhav