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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

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

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

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 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

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 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 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

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 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

Lo and Chau showed that an ideal quantum coin flipping protocol is impossible. The proof was simply derived from the impossibility proof of quantum bit commitment. However, the proof still leaves the possibility of a quantum coin flipping…

量子物理 · 物理学 2007-05-23 Yuki Tokunaga

We focus on a family of quantum coin-flipping protocols based on bit-commitment. We discuss how the semidefinite programming formulations of cheating strategies can be reduced to optimizing a linear combination of fidelity functions over a…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Jamie Sikora , Levent Tunçel

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

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

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

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…

量子物理 · 物理学 2008-02-20 Satoshi Ishizaka

As in modern communication networks, the security of quantum networks will rely on complex cryptographic tasks that are based on a handful of fundamental primitives. Weak coin flipping (WCF) is a significant such primitive which allows two…

We define cheat sensitive cryptographic protocols between mistrustful parties as protocols which guarantee that, if either cheats, the other has some nonzero probability of detecting the cheating. We give an example of an unconditionally…

量子物理 · 物理学 2009-10-31 Lucien Hardy , Adrian Kent

Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum worlds. But when committing to a string of n bits at once, how far can we stretch the quantum limits? In this paper, we…

量子物理 · 物理学 2008-08-18 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

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…

最优化与控制 · 数学 2018-03-22 Ashwin Nayak , Jamie Sikora , Levent Tunçel
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