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A coin is just a two sided dice. Recently, Mochon proved that quantum weak coin flipping with an arbitrarily small bias is possible. However, the use of quantum resources to allow N remote distrustful parties to roll an N-sided dice has yet…

Quantum Physics · Physics 2009-08-20 N. Aharon , J. Silman

We investigate coin-flipping protocols for multiple parties in a quantum broadcast setting: (1) We propose and motivate a definition for quantum broadcast. Our model of quantum broadcast channel is new. (2) We discovered that quantum…

Quantum Physics · Physics 2016-11-17 Andris Ambainis , Harry Buhrman , Yevgeniy Dodis , Hein Roehrig

We present a family of quantum money schemes with classical verification which display a number of benefits over previous proposals. Our schemes are based on hidden matching quantum retrieval games and they tolerate noise up to 23%, which…

Quantum Physics · Physics 2017-07-05 Ryan Amiri , Juan Miguel Arrazola

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…

Quantum Physics · Physics 2025-06-25 Jiawei Wu , Yanglin Hu , Akshay Bansal , Marco Tomamichel

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…

Quantum key distribution protocols based on equiangular spherical codes are introduced and their behavior under the intercept/resend attack investigated. Such protocols offer a greater range of secure noise tolerance and speed options than…

Quantum Physics · Physics 2021-09-30 Joseph M. Renes

We consider the cryptographic task of bit-string generation. This is a generalisation of coin tossing in which two mistrustful parties wish to generate a string of random bits such that an honest party can be sure that the other cannot have…

Quantum Physics · Physics 2009-11-10 Jonathan Barrett , Serge Massar

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…

Quantum Physics · Physics 2007-05-23 Yuki Tokunaga

Oblivious transfer is a fundamental primitive in cryptography. While perfect information theoretic security is impossible, quantum oblivious transfer protocols can limit the dishonest players' cheating. Finding the optimal security…

Quantum Physics · Physics 2016-03-24 André Chailloux , Iordanis Kerenidis , Jamie Sikora

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…

Quantum Physics · Physics 2023-09-07 Kazuki Ikeda , Adam Lowe

One of the simplest security proofs of quantum key distribution is based on the so-called complementarity scenario, which involves the complementarity control of an actual protocol and a virtual protocol [M. Koashi, e-print arXiv:0704.3661…

Quantum Physics · Physics 2015-05-18 Kiyoshi Tamaki , Go Kato

The cryptographic protocol of coin tossing consists of two parties, Alice and Bob, that do not trust each other, but want to generate a random bit. If the parties use a classical communication channel and have unlimited computational…

Quantum Physics · Physics 2009-11-13 A. T. Nguyen , J. Frison , K. Phan Huy , S. Massar

The realization of devices which harness the laws of quantum mechanics represents an exciting challenge at the interface of modern technology and fundamental science. An exemplary paragon of the power of such quantum primitives is the…

Quantum Physics · Physics 2012-11-21 Fernando Pastawski , Norman Y. Yao , Liang Jiang , Mikhail D. Lukin , J. Ignacio Cirac

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…

Quantum Physics · Physics 2019-11-27 Atul Singh Arora , Jérémie Roland , Stephan Weis

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

Weak coin flipping (WCF) is a fundamental cryptographic primitive for two-party secure computation, where two distrustful parties need to remotely establish a shared random bit whilst having opposite preferred outcomes. It is the strongest…

Quantum Physics · Physics 2023-01-03 Atul Singh Arora , Jérémie Roland , Chrysoula Vlachou

When the 4-state or the 6-state protocol of quantum cryptography is carried out on a noisy (i.e. realistic) quantum channel, then the raw key has to be processed to reduce the information of an adversary Eve down to an arbitrarily low…

Quantum Physics · Physics 2009-01-23 N. Gisin , S. Wolf

Security of a continuous-variable quantum key distribution protocol based on noisy coherent states and channel is analyzed. Assuming the noise of coherent states is induced by Fred, a neutral party relative to others, we prove that the…

Quantum Physics · Physics 2015-05-13 Yong Shen , Jian Yang , Hong Guo

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

It is known that preprocessing noise may boost quantum key distribution by expanding the range of values of tolerated noise. For BB84, adding trusted noise may allow the generation of secret keys even for qubit error rate (QBER) beyond the…

Quantum Physics · Physics 2026-03-20 Gabriele Staffieri , Giuseppe D'Ambruoso , Giovanni Scala , Cosmo Lupo