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Related papers: Quantum Weak Coin Flipping

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We study the problem of learning a most biased coin among a set of coins by tossing the coins adaptively. The goal is to minimize the number of tosses until we identify a coin i* whose posterior probability of being most biased is at least…

Data Structures and Algorithms · Computer Science 2013-09-10 Karthekeyan Chandrasekaran , Richard Karp

This paper studies the trade-off between two different kinds of pure exploration: breadth versus depth. The most biased coin problem asks how many total coin flips are required to identify a "heavy" coin from an infinite bag containing both…

Machine Learning · Computer Science 2016-03-29 Kevin Jamieson , Daniel Haas , Ben Recht

Let $q \in (0,1)$ and $\delta \in (0,1)$ be real numbers, and let $C$ be a coin that comes up heads with an unknown probability $p$, such that $p \neq q$. We present an algorithm that, on input $C$, $q$, and $\delta$, decides, with…

Data Structures and Algorithms · Computer Science 2020-11-12 Luís Fernando Schultz Xavier da Silveira , Michiel Smid

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…

Quantum Physics · Physics 2020-10-28 Jamie Sikora , John H. Selby

Relativistic protocols have been proposed to overcome some impossibility results in classical and quantum cryptography. In such a setting, one takes the location of honest players into account, and uses the fact that information cannot…

Quantum Physics · Physics 2019-05-24 V. Vilasini , Christopher Portmann , Lidia del Rio

A quantum board game is a multi-round protocol between a single quantum player against the quantum board. Molina and Watrous discovered quantum hedging. They gave an example for perfect quantum hedging: a board game with winning probability…

Quantum Physics · Physics 2017-06-19 Maor Ganz , Or Sattath

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

Alice is a charismatic quantum cryptographer who believes her parties are unmissable; Bob is a (relatively) glamorous string theorist who believes he is an indispensable guest. To prevent possibly traumatic collisions of self-perception and…

Quantum Physics · Physics 2007-05-23 Roger Colbeck , Adrian Kent

We introduce relativistic multi-party biased die rolling protocols, generalizing coin flipping to $M \geq 2$ parties and to $N \geq 2$ outcomes for any chosen outcome biases, and show them unconditionally secure. Our results prove that the…

Quantum Physics · Physics 2021-09-13 Damián Pitalúa-García

A significant branch of classical cryptography deals with the problems which arise when mistrustful parties need to generate, process or exchange information. As Kilian showed a while ago, mistrustful classical cryptography can be founded…

Quantum Physics · Physics 2009-11-07 Adrian Kent

In this letter we present the first implementation of a quantum coin tossing protocol. This protocol belongs to a class of ``two-party'' cryptographic problems, where the communication partners distrust each other. As with a number of such…

Quantum Physics · Physics 2015-02-11 G. Molina-Terriza , A. Vaziri , R. Ursin , A. Zeilinger

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…

Probability · Mathematics 2019-03-25 Diego Marcondes , Cláudia Peixoto

In the distrustful quantum cryptography model the different parties have conflicting interests and do not trust one another. Nevertheless, they trust the quantum devices in their labs. The aim of the device-independent approach to…

Quantum Physics · Physics 2011-06-10 J. Silman , A. Chailloux , N. Aharon , I. Kerenidis , S. Pironio , S. Massar

Uncloneable encryption is a cryptographic primitive which encrypts a classical message into a quantum ciphertext, such that two quantum adversaries are limited in their capacity of being able to simultaneously decrypt, given the key and…

Quantum Physics · Physics 2024-10-31 Pierre Botteron , Anne Broadbent , Eric Culf , Ion Nechita , Clément Pellegrini , Denis Rochette

Quantum tokens envision to store unclonable quantum states in a physical device, with the goal of being used for personal authentication protocols, as required by banks. Still, the experimental realization of such devices faces many…

The lack of perfect randomness can cause significant problems in securing communication between two parties. McInnes and Pinkas proved that unconditionally secure encryption is impossible when the key is sampled from a weak random source.…

Quantum Physics · Physics 2012-02-20 J. Bouda , M. Pivoluska , M. Plesch

Randomisation is a critical tool in designing distributed systems. The common coin primitive, enabling the system members to agree on an unpredictable random number, has proven to be particularly useful. We observe, however, that it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-25 Luciano Freitas , Petr Kuznetsov , Andrei Tonkikh

Alice seeks an information-theoretically secure source of private random data. Unfortunately, she lacks a personal source and must use remote sources controlled by other parties. Alice wants to simulate a coin flip of specified bias…

Computational Complexity · Computer Science 2015-03-13 Gene S. Kopp , John D. Wiltshire-Gordon

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…

Cryptography and Security · Computer Science 2015-05-06 Shafi Goldwasser , Yael Tauman Kalai , Sunoo Park

Wiesner's quantum money [5] is a simple, information-theoretically secure quantum cryptographic protocol. In his protocol, a mint issues quantum bills and anyone can query the mint to authenticate a bill. If the mint returns bogus bills…

Quantum Physics · Physics 2010-10-05 Andrew Lutomirski