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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

This article traces a brief history of the use of single electron spins to compute. In classical computing schemes, a binary bit is represented by the spin polarization of a single electron confined in a quantum dot. If a weak magnetic…

Mesoscale and Nanoscale Physics · Physics 2011-02-01 S. Bandyopadhyay

Quantum key distribution (QKD) can be used to establish a secret key between trusted parties. Many practical use-cases in communication networks, however, involve parties who do not trust each other. A fundamental cryptographic building…

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

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 show that the existence of a coin-flipping protocol safe against \emph{any} non-trivial constant bias (\eg $.499$) implies the existence of one-way functions. This improves upon a recent result of Haitner and Omri [FOCS '11], who proved…

Cryptography and Security · Computer Science 2021-05-05 Itay Berman , Iftach Haitner , Aris Tentes

We study the power of classical and quantum algorithms equipped with nonuniform advice, in the form of a coin whose bias encodes useful information. This question takes on particular importance in the quantum case, due to a surprising…

Quantum Physics · Physics 2011-01-28 Scott Aaronson , Andrew Drucker

The problem of creating a three-sided dice with the probability of it landing on each of its sides being equal to 1/3 has been around for many years. Various approaches have been attempted, but as different authors achieved at different…

Dynamical Systems · Mathematics 2024-01-09 Anton Gaek , Artem Sukhov

Quantum Game Theory provides us with new tools for practising games and some other risk related enterprices like, for example, gambling. The two party gambling protocol presented by Goldenberg {\it et al} is one of the simplest yet still…

Quantum Physics · Physics 2015-06-26 Ireneusz Pakula

The toss of a coin is usually regarded as the epitome of randomness, and has been used for ages as a means to resolve disputes in a simple, fair way. Perhaps as ancient as consulting objects such as coins and dice is the art of maliciously…

Data Structures and Algorithms · Computer Science 2014-03-11 Vinícius Gusmão Pereira de Sá , Celina Miraglia Herrera de Figueiredo

We show that the phenomenon of anomalous weak values is not limited to quantum theory. In particular, we show that the same features occur in a simple model of a coin subject to a form of classical backaction with pre- and post-selection.…

Quantum Physics · Physics 2014-09-19 Christopher Ferrie , Joshua Combes

We show how to simulate a roll of a fair $n$-sided die by one flip of a biased coin with probability $1/n$ of coming up heads, followed by $3\lfloor\log_2 n \rfloor+1$ flips of a fair coin.

Combinatorics · Mathematics 2015-06-02 Giovanni Viglietta

Quantum gambling --- a secure remote two-party protocol which has no classical counterpart --- is demonstrated through optical approach. A photon is prepared by Alice in a superposition state of two potential paths. Then one path leads to…

Quantum Physics · Physics 2007-05-23 Yong-Sheng Zhang , Chuan-Feng Li , Wan-Li Li , Yun-Feng Huang , Guang-Can Guo

We propose a new quantum secret sharing scheme using a single non-entangled qubit. In the scheme, by transmitting a qubit to the next party sequentially, a sender can securely transmit a secret message to $N$ receivers who could only decode…

Quantum Physics · Physics 2015-06-26 Yun Jin Choi , Young-Jai Park , Chil-Min Kim , Jaewan Kim

Recently there were many quantum protocols devoted to solve the millionaire problem and private comparison problem by adding a semi-honest third party. They all require complicated quantum methods, while still leak a non-trivial amount of…

Quantum Physics · Physics 2013-06-07 Guang Ping He

For a discrete time quantum walk (QW) on the $N$-cycle, allowing for decoherence on the coin, we derive a number of new results, including an explicit formula for the position probability distribution. For a QW of this type, we show that…

Quantum Physics · Physics 2015-05-13 Chaobin Liu , Nelson Petulante

The counterfeit coin problem requires us to find all false coins from a given bunch of coins using a balance scale. We assume that the balance scale gives us only ``balanced'' or ``tilted'' information and that we know the number k of false…

Quantum Physics · Physics 2013-12-05 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Junichi Teruyama

Quantum methods allow to reduce communication complexity of some computational tasks, with several separated partners, beyond classical constraints. Nevertheless, experimental demonstrations of this fact are thus far limited to some…

Quantum Physics · Physics 2014-06-18 S. Muhammad , A. Tavakoli , M. Kurant , M. Pawlowski , M. Zukowski , M. Bourennane

Quantum random walks have been much studied recently, largely due to their highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum random walk on the line: the use of multiple…

Quantum Physics · Physics 2009-11-07 Todd A. Brun , Hilary A. Carteret , Andris Ambainis

The computational efficiency of quantum mechanics can be defined in terms of the qubit circuit model, which is characterized by a few simple properties: each computational gate is a reversible transformation in a connected matrix group;…

Quantum Physics · Physics 2019-01-30 Marius Krumm , Markus P. Mueller