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Strategic agents in incomplete-information environments have a conflicted relationship with uncertainty: it can keep them unpredictable to their opponents, but it must also be overcome to predict the actions of those opponents. We use a…

Computer Science and Game Theory · Computer Science 2016-05-16 Seth Frey , Paul L. Williams , Dominic K. Albino

Motivated by recent developments in the shuffle model of differential privacy, we propose a new approximate shuffling functionality called Alternating Shuffle, and provide a protocol implementing alternating shuffling in a single-server…

Cryptography and Security · Computer Science 2023-09-08 Borja Balle , James Bell , Adrià Gascón

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…

Quantum Physics · Physics 2009-11-07 R. W. Spekkens , Terry Rudolph

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

Trick-taking card games feature a large amount of private information that slowly gets revealed through a long sequence of actions. This makes the number of histories exponentially large in the action sequence length, as well as creating…

Artificial Intelligence · Computer Science 2019-05-28 Douglas Rebstock , Christopher Solinas , Michael Buro , Nathan R. Sturtevant

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

Probability · Mathematics 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

The 21-card trick is a way of dealing cards in order to predict the card selected by a volunteer. We give a mathematical explanation of why the well-known 21-card trick works using a simple linear discrete function. The function has a…

History and Overview · Mathematics 2013-08-16 Jyoti Champanerkar , Mahendra Jani

This work investigates the design of sparse secret sharing schemes that encode a sparse private matrix into sparse shares. This investigation is motivated by distributed computing, where the multiplication of sparse and private matrices is…

Cryptography and Security · Computer Science 2023-08-15 Rawad Bitar , Maximilian Egger , Antonia Wachter-Zeh , Marvin Xhemrishi

We propose a distributed algorithm to compute an equilibrium in aggregate games where players communicate over a fixed undirected network. Our algorithm exploits correlated perturbation to obfuscate information shared over the network. We…

Optimization and Control · Mathematics 2019-12-16 Shripad Gade , Anna Winnicki , Subhonmesh Bose

Using the computational resources of an untrusted third party to crack a password hash can pose a high number of privacy and security risks. The act of revealing the hash digest could in itself negatively impact both the data subject who…

Cryptography and Security · Computer Science 2023-06-16 Norbert Tihanyi , Tamas Bisztray , Bertalan Borsos , Sebastien Raveau

In the Russian cards problem, Alice, Bob and Cath draw $a$, $b$ and $c$ cards, respectively, from a publicly known deck. Alice and Bob must then communicate their cards to each other without Cath learning who holds a single card. Solutions…

Cryptography and Security · Computer Science 2015-06-23 Esteban Landerreche , David Fernández-Duque

I propose a new quantum key distribution protocol that uses the five qubit error correction code to detect the presence of eavesdropper reliably. The protocol turns any information theoretical attacks into a classical guess about the…

Quantum Physics · Physics 2025-12-16 Mehedi Hasan Rumi

An active line of research has considered games played on networks in which payoffs depend on both a player's individual decision and also the decisions of her neighbors. Such games have been used to model issues including the formation of…

Computer Science and Game Theory · Computer Science 2013-05-01 Flavio Chierichetti , Jon Kleinberg , Sigal Oren

We consider the following game that has been used as a way of testing claims of extrasensory perception (ESP). One is given a deck of $mn$ cards comprised of $n$ distinct types each of which appears exactly $m$ times: this deck is shuffled…

Probability · Mathematics 2022-11-17 Andrea Ottolini , Stefan Steinerberger

We present a simple and practical protocol for the solution of a secure multiparty communication task, the secret sharing, and its experimental realization. In this protocol, a secret message is split among several parties in a way that its…

The 2-receiver broadcast channel is studied: a network with three parties where the transmitter and one of the receivers are the primarily involved parties and the other receiver considered as third party. The messages that are determined…

Information Theory · Computer Science 2019-03-12 Farzin Salek , Min-Hsiu Hsieh , Javier R. Fonollosa

A novel private communication framework is proposed where privacy is induced by transmitting over a channel instances of linear inverse problems that are identifiable to the legitimate receiver but unidentifiable to an eavesdropper. The gap…

Information Theory · Computer Science 2024-07-24 Maxime Ferreira Da Costa , Jianxiu Li , Urbashi Mitra

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

We study quantum protocols among two distrustful parties. Under the sole assumption of correctness - guaranteeing that honest players obtain their correct outcomes - we show that every protocol implementing a non-trivial primitive…

Quantum Physics · Physics 2010-03-31 Louis Salvail , Christian Schaffner , Miroslava Sotakova

In this expository article, we highlight the direct connection between card shuffling and the functions known as $P$-partitions that come from algebraic combinatorics. While many (but not all) of the results we discuss are known, we give a…

Combinatorics · Mathematics 2021-04-28 Jason Fulman , T. Kyle Petersen