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The behavior of entangled quantum systems can generally not be explained as being determined by shared classical randomness. In the first part of this paper, we propose a simple game for n players demonstrating this non-local property of…

Quantum Physics · Physics 2013-01-01 Renato Renner , Stefan Wolf

Bipartite quantum interactions have applications in a number of different areas of quantum physics, reaching from fundamental areas such as quantum thermodynamics and the theory of quantum measurements to other applications such as quantum…

Quantum Physics · Physics 2018-12-21 Stefan Bäuml , Siddhartha Das , Mark M. Wilde

Imagine that Alice and Bob, unable to communicate, are both given a 16-bit string such that the strings are either equal, or they differ in exactly 8 positions. Both parties are then supposed to output a 4-bit string in such a way that…

Quantum Physics · Physics 2007-05-23 Viktor Galliard , Stefan Wolf , Alain Tapp

The concepts of quantum correlation complexity and quantum communication complexity were recently proposed to quantify the minimum amount of resources needed in generating bipartite classical or quantum states in the single-shot setting.…

Quantum Physics · Physics 2014-07-21 Rahul Jain , Zhaohui Wei , Penghui Yao , Shengyu Zhang

For any two-by-two game $\G$, we define a new two-player game $\G^Q$. The definition is motivated by a vision of players in game $\G$ communicating via quantum technology according to a certain standard protocol originally introduced by…

Optimization and Control · Mathematics 2011-10-07 Steven E. Landsburg

The transfer or exchange of multipartite quantum states is critical to the realization of large-scale quantum information processing and quantum communication. A challenging question in this context is: What is the minimum resource required…

Quantum Physics · Physics 2015-08-26 Chui-Ping Yang , Qi-Ping Su , Shi-Biao Zheng , Siyuan Han

Understanding the role that quantum entanglement plays as a resource in various information processing tasks is one of the crucial goals of quantum information theory. Here we propose a new perspective for studying quantum entanglement:…

Quantum Physics · Physics 2015-09-23 L. Czekaj , M. Pawlowski , T. Vertesi , A. Grudka , M. Horodecki , R. Horodecki

A correlated equilibrium is a fundamental solution concept in game theory that enjoys many desirable properties. However, it requires a trusted mediator, which is a major drawback in many practical applications. A computational solution to…

Computer Science and Game Theory · Computer Science 2011-04-12 Iordanis Kerenidis , Shengyu Zhang

Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player-two…

Quantum Physics · Physics 2007-05-23 Sahin Kaya Ozdemir , Junichi Shimamura , Nobuyuki Imoto

In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This…

Quantum Physics · Physics 2024-12-12 François Le Gall , Oran Nadler , Harumichi Nishimura , Rotem Oshman

We show that any number of parties can coherently exchange any one pure quantum state for another, without communication, given prior shared entanglement. Two applications of this fact to the study of multi-prover quantum interactive proof…

Quantum Physics · Physics 2011-03-11 Debbie Leung , Ben Toner , John Watrous

Quantum games have gained much popularity in the last two decades. Many of these quantum games are a redefinition of iconic classical games to fit the quantum world, and they gain many different properties and solutions in this different…

Communication games are one of the widely used tools that are designed to demonstrate quantum supremacy over classical resources. In that, two or more parties collaborate to perform an information processing task to achieve the highest…

Quantum Physics · Physics 2023-01-02 Abhyoudai. S. S. , Sumit Mukherjee , A. K. Pan

We consider a coalitional game with the same payoff for all players. To maximize the payoff, the players need to use one collective strategy, if all players are in certain states, and the other strategy otherwise. The current state of each…

Quantum Physics · Physics 2007-05-23 Gleb V. Klimovitch

This paper considers a problem of quantum communication between parties that are connected through a network of quantum channels. The model in this paper assumes that there is no prior entanglement shared among any of the parties, but that…

Quantum Physics · Physics 2016-05-30 Hirotada Kobayashi , Francois Le Gall , Harumichi Nishimura , Martin Roetteler

The most general quantum object that can be shared between two distant parties is a bipartite channel, as it is the basic element to construct all quantum circuits. In general, bipartite channels can produce entangled states, and can be…

Quantum Physics · Physics 2021-06-29 Gilad Gour , Carlo Maria Scandolo

Quantum generalizations of conventional games broaden the range of available strategies, which can help improve outcomes for the participants. With many players, such quantum games can involve entanglement among many states which is…

Quantum Physics · Physics 2009-10-06 Kay-Yut Chen , Tad Hogg , Raymond Beausoleil

We present a systematic investigation of the quantum games, constructed using a novel repeated game protocol, when played repeatedly ad infinitum. We focus on establishing that such repeated games -- by virtue of inherent quantum-mechanical…

Quantum Physics · Physics 2024-02-27 Archan Mukhopadhyay , Saikat Sur , Tanay Saha , Shubhadeep Sadhukhan , Sagar Chakraborty

The recognition of entanglement states is a notoriously difficult problem when no prior information is available. Here, we propose an efficient quantum adversarial bipartite entanglement detection scheme to address this issue. Our proposal…

Two qubit quantum computations are viewed as two player, strictly competitive games and a game-theoretic measure of optimality of these computations is developed. To this end, the geometry of Hilbert space of quantum computations is used to…

Quantum Physics · Physics 2013-09-11 Faisal Shah Khan , Simon J. D. Phoenix