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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…

Quantum Physics · Physics 2009-04-10 André Chailloux , Iordanis Kerenidis

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…

Quantum Physics · Physics 2008-05-12 Andris Ambainis

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…

Quantum Physics · Physics 2007-05-23 Carlos Mochon

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…

Quantum Physics · Physics 2007-05-23 Carlos Mochon

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…

Quantum Physics · Physics 2025-10-06 Atul Singh Arora , Carl A. Miller , Mauro E. S. Morales , Jamie Sikora

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…

Quantum Physics · Physics 2020-08-21 Mathieu Bozzio , Ulysse Chabaud , Iordanis Kerenidis , Eleni Diamanti

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…

Quantum Physics · Physics 2013-05-29 Guido Berlin , Gilles Brassard , Felix Bussieres , Nicolas Godbout

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

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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Peter Shor

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

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…

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

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,…

Quantum Physics · Physics 2010-12-24 N. Aharon , S. Massar , J. Silman

In this article we show for the first time that quantum coin flipping with security guarantees that are strictly better than any classical protocol is possible to implement with current technology. Our protocol takes into account all…

Quantum Physics · Physics 2011-11-11 Anna Pappa , André Chailloux , Eleni Diamanti , Iordanis Kerenidis

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

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…

Quantum Physics · Physics 2020-07-14 Carl A. Miller

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

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…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ashwin Nayak
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