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This paper investigates the role of interaction and coins in public-coin quantum interactive proof systems (also called quantum Arthur-Merlin games). While prior works focused on classical public coins even in the quantum setting, the…

Quantum Physics · Physics 2019-05-23 Hirotada Kobayashi , François Le Gall , Harumichi Nishimura

Device-independent self-testing allows a verifier to certify that potentially malicious parties hold on to a specific quantum state, based only on the observed correlations. Parallel self-testing has recently been explored, aiming to…

Quantum Physics · Physics 2017-07-10 Andrea W. Coladangelo

We study two forms of a symmetric cooperative game played by three players, one classical and other quantum. In its classical form making a coalition gives advantage to players and they are motivated to do so. However in its quantum form…

Quantum Physics · Physics 2009-11-07 A. Iqbal , A. H. Toor

Quantum entanglement has been recently demonstrated as a useful resource in conflicting interest games of incomplete information between two players, Alice and Bob [Pappa et al., Phys. Rev. Lett. 114, 020401 (2015)]. General setting for…

Quantum Physics · Physics 2017-11-17 Ashutosh Rai , Goutam Paul

This paper studies quantum Arthur-Merlin games, which are Arthur-Merlin games in which Arthur and Merlin can perform quantum computations and Merlin can send Arthur quantum information. As in the classical case, messages from Arthur to…

Computational Complexity · Computer Science 2007-05-23 Chris Marriott , John Watrous

The complexity of free games with two or more classical players was essentially settled by Aaronson, Impagliazzo, and Moshkovitz (CCC'14). There are two complexity classes that can be considered quantum analogues of classical free games:…

Quantum Physics · Physics 2023-02-10 Anand Natarajan , Tina Zhang

Linear system games are a generalization of Mermin's magic square game introduced by Cleve and Mittal. They show that perfect strategies for linear system games in the tensor-product model of entanglement correspond to finite-dimensional…

Quantum Physics · Physics 2017-02-01 Richard Cleve , Li Liu , William Slofstra

In a variant of communication tasks, players cooperate in choosing their local strategies to compute a given task later, working separately. Utilizing quantum bits for communication and sharing entanglement between parties is a recognized…

Quantum Physics · Physics 2024-10-01 Ryszard Kukulski , Paulina Lewandowska , Karol Życzkowski

Device-independent self-testing is the possibility of certifying the quantum state and the measurements, up to local isometries, using only the statistics observed by querying uncharacterized local devices. In this paper, we study parallel…

Quantum Physics · Physics 2016-06-29 Xingyao Wu , Jean-Daniel Bancal , Matthew McKague , Valerio Scarani

We present a formalism that captures the process of proving quantum superiority to skeptics as an interactive game between two agents, supervised by a referee. Bob, is sampling from a classical distribution on a quantum device that is…

Quantum Physics · Physics 2022-07-06 Daniel Stilck França , Raul Garcia-Patron

Research in quantum games has flourished during recent years. However, it seems that opinion remains divided about their true quantum character and content. For example, one argument says that quantum games are nothing but 'disguised'…

Quantum Physics · Physics 2007-05-23 Azhar Iqbal

Using a single NL-box, a winning strategy is given for the impossible colouring pseudo-telepathy game for the set of vectors having Kochen-Specker property in four dimension. A sufficient condition to have a winning strategy for the…

Quantum Physics · Physics 2007-05-23 Samir Kunkri , Guruprasad Kar , Sibasish Ghosh , Anirban Roy

Quantum nonlocality is an inherently non-classical feature of quantum mechanics and manifests itself through violation of Bell inequalities for nonlocal games. We show that in a fairly general setting, a simple extension of a nonlocal game…

Quantum Physics · Physics 2017-06-09 Carl A. Miller , Yaoyun Shi

A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of *correlations*, i.e. without reference to classical or…

Quantum Physics · Physics 2009-11-10 Azhar Iqbal , Stefan Weigert

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

We propose a scheme for a quantum game based on performing an EPR type experiment and in which each player's spatial directional choices are considered as their strategies. A classical mixed-strategy game is recovered by restricting the…

Quantum Physics · Physics 2022-06-16 Azhar Iqbal , Derek Abbott

Bell-inequality violations establish that two systems share some quantum entanglement. We give a simple test to certify that two systems share an asymptotically large amount of entanglement, n EPR states. The test is efficient: unlike…

Quantum Physics · Physics 2018-09-06 Rui Chao , Ben W. Reichardt , Chris Sutherland , Thomas Vidick

We present a new protocol in which a secret multiqubit quantum state $\ket{\Psi}$ is shared by $n$ players and $m$ controllers, where $\ket{\Psi}$ is the encoding state of a quantum secret sharing scheme. The players may be considered as…

Quantum Physics · Physics 2007-05-23 Chi-Yee Cheung

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

The explicit construction is presented of two-player game satisfying: (i) symmetry with respect to the permutation of the players; (ii) the existence of upper bound on total payoff following from Bell inequality; (iii) the existence of…

Quantum Physics · Physics 2017-09-01 Katarzyna Bolonek-Lasoń