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In quantum superdense coding, two parties previously sharing entanglement can communicate a two bit message by sending a single qubit. We study this feature in the broader framework of general probabilistic theories. We consider a…

Quantum Physics · Physics 2015-10-28 Serge Massar , Stefano Pironio , Damián Pitalúa-García

We reveal key connections between non-locality and advantage in correlation-assisted classical communication. First, using the wire-cutting technique, we provide a Bell inequality tailored to any correlation-assisted bounded classical…

Quantum Physics · Physics 2025-07-16 Sumit Rout , Anubhav Chaturvedi , Some Sankar Bhattacharya , Paweł Horodecki

Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is generalized to include entangled quantum…

A multipartner secure direct communication protocol is presented, using quantum nonlocality. Security of this protocol is based on `High fidelity implies low entropy'. When the entanglement was successfully distributed, anyone of the…

Quantum Physics · Physics 2007-05-23 LV Hua , Qing-Yu Cai

We investigate the relation between Bell inequalities and nonlocal games by presenting a systematic method for their bilateral conversion. In particular, we show that while to any nonlocal game there naturally corresponds a unique Bell…

Quantum Physics · Physics 2008-07-17 J. Silman , S. Machnes , N. Aharon

For a classical channel, neither the Shannon capacity, nor the sum of conditional probabilities corresponding to the cases of successful transmission can be increased by the use of shared entanglement, or, more generally, a non-signaling…

Quantum Physics · Physics 2022-03-09 Péter E. Frenkel , Mihály Weiner

The Mermin-Peres magic square game is a cooperative two-player nonlocal game in which shared quantum entanglement allows the players to win with certainty, while players limited to classical operations cannot do so, a phenomenon dubbed…

Quantum Physics · Physics 2012-09-19 Alex Arkhipov

We present relation problems whose input size is $n$ such that they can be solved with no communication for entanglement-assisted quantum communication models, but require $\Omega(n)$ qubit communication for $2$-way quantum communication…

Quantum Physics · Physics 2026-04-20 Atsuya Hasegawa , François Le Gall , Augusto Modanese

We study nondeterministic quantum algorithms for Boolean functions f. Such algorithms have positive acceptance probability on input x iff f(x)=1. In the setting of query complexity, we show that the nondeterministic quantum complexity of a…

Computational Complexity · Computer Science 2007-05-23 Ronald de Wolf

We propose a non-classical multi-player entangled state which eliminates the need for communication, yet can solve problems (that require coordination) better than classical approaches. For the entangled state, we propose a slater…

Quantum Physics · Physics 2009-03-24 Sudhakar Yarlagadda

We show a relation, based on parallel repetition of the Magic Square game, that can be solved, with probability exponentially close to $1$ (worst-case input), by $1D$ (uniform) depth $2$, geometrically-local, noisy (noise below a…

Quantum Physics · Physics 2023-10-04 Kishor Bharti , Rahul Jain

Motivated by non-local games and quantum coloring problems, we introduce a graph homomorphism game between quantum graphs and classical graphs. This game is naturally cast as a "quantum-classical game"--that is, a non-local game of two…

Operator Algebras · Mathematics 2024-06-19 Michael Brannan , Priyanga Ganesan , Samuel J. Harris

We explore the possibility of performing super dense coding with non-maximally entangled states as a resource. Using this we find that one can send two classical bits in a probabilistic manner by sending a qubit. We generalize our scheme to…

Quantum Physics · Physics 2012-04-18 A. K. Pati , P. Parashar , P. Agrawal

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

The non-local game scenario provides a powerful framework to study the limitations of classical and quantum correlations, by studying the upper bounds of the winning probabilities those correlations offer in cooperation games where…

Quantum Physics · Physics 2020-07-07 Ricardo Faleiro

Given one or more uses of a classical channel, only a certain number of messages can be transmitted with zero probability of error. The study of this number and its asymptotic behaviour constitutes the field of classical zero-error…

Quantum Physics · Physics 2010-11-01 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter

We present a strong parallel repetition theorem for the entangled value of multi-player, one-round free games (games where the inputs come from a product distribution). Our result is the first parallel repetition theorem for entangled games…

Quantum Physics · Physics 2015-01-06 Kai-Min Chung , Xiaodi Wu , Henry Yuen

In quantum information, nonlocal games are particularly useful for differentiating classical, quantum, and non-signalling correlations. An example of differentiation is given by the principle of no-collapse of communication complexity,…

Quantum Physics · Physics 2024-06-26 Pierre Botteron , Moritz Weber

Quantum resources may provide advantage over their classical counterparts. Theoretically, in certain tasks, this advantage can be very high. In this work, we construct such a task based on a game, mediated by Referee and played between…

Quantum Physics · Physics 2024-05-16 Saronath Halder , Alexander Streltsov , Manik Banik

Quantum mechanics allows operations to be in indefinite causal order. Recently there have been active discussions on enhanced communication strategies through exotic causal structures. In light of this, through the process matrix formalism,…

Quantum Physics · Physics 2021-04-21 Kaumudibikash Goswami , Fabio Costa
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