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A family of protocols for quantum weak coin-flipping which asymptotically achieve a bias of 0.192 is described in this paper. The family contains protocols with n+2 messages for all n>1. The case n=2 is equivalent to the protocol of…

量子物理 · 物理学 2007-05-23 Carlos Mochon

This note presents a quantum protocol that demonstrates that_weak_ coin flipping with bias approximately 0.239, less than 1/4, is possible. A bias of 1/4 was the smallest known, and followed from the strong coin flipping protocol of…

量子物理 · 物理学 2007-05-23 Iordanis Kerenidis , Ashwin Nayak

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

We investigate weak coin flipping, a fundamental cryptographic primitive where two distrustful parties need to remotely establish a shared random bit. A cheating player can try to bias the output bit towards a preferred value. For weak coin…

量子物理 · 物理学 2019-11-27 Atul Singh Arora , Jérémie Roland , Stephan Weis

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…

密码学与安全 · 计算机科学 2021-05-04 Iftach Haitner , Nikolaos Makriyannis , Eran Omri

Each classical public-coin protocol for coin flipping is naturally associated with a quantum protocol for weak coin flipping. The quantum protocol is obtained by replacing classical randomness with quantum entanglement and by adding a cheat…

量子物理 · 物理学 2007-05-23 Carlos Mochon

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

Coin flipping is a fundamental cryptographic primitive that enables two distrustful and far apart parties to create a uniformly random bit [Blu81]. Quantum information allows for protocols in the information theoretic setting where no…

量子物理 · 物理学 2009-04-10 André Chailloux , Iordanis Kerenidis

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…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Peter Shor

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

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…

量子物理 · 物理学 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…

量子物理 · 物理学 2011-03-15 André Chailloux

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

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…

量子物理 · 物理学 2009-10-19 Ivan Damgaard , Carolin Lunemann

Coin flipping is a cryptographic primitive in which two distrustful parties wish to generate a random bit in order to choose between two alternatives. This task is impossible to realize when it relies solely on the asynchronous exchange of…

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 $1/\sqrt{2}$.

量子物理 · 物理学 2007-05-23 Andris Ambainis

Quantum coin flipping (QCF) is an essential primitive for quantum cryptography. Unconditionally secure strong QCF with an arbitrarily small bias was widely believed to be impossible. But basing on a problem which cannot be solved without…

量子物理 · 物理学 2023-07-25 Guang Ping He

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…

量子物理 · 物理学 2015-08-19 Sheng Zhang , Yuexin Zhang

Coin-flipping is a fundamental task in two-party cryptography where two remote mistrustful parties wish to generate a shared uniformly random bit. While quantum protocols promising near-perfect security exist for weak coin-flipping -- when…

量子物理 · 物理学 2025-10-06 Atul Singh Arora , Carl A. Miller , Mauro E. S. Morales , Jamie Sikora

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…

量子物理 · 物理学 2013-05-29 Guido Berlin , Gilles Brassard , Felix Bussieres , Nicolas Godbout
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