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Related papers: Quantum Arthur-Merlin Games

200 papers

To date all self-tests for high dimensional systems are confined to many-qubit states. This is due to two restrictions in the literature: the standard techniques for proving self-testing results apply only to qubits, and there are few…

Quantum Physics · Physics 2016-08-18 Matthew McKague

Here, we present the quantum version of a very famous statistical decision problem, whose classical version is counter-intuitive to many. The Monty Hall game can be phrased as a two person game between Alice and Bob. In their pioneering…

Quantum Physics · Physics 2019-01-24 Souvik Paul , Bikash K. Behera , Prasanta K. Panigrahi

We study a model of communication complexity that encompasses many well-studied problems, including classical and quantum communication complexity, the complexity of simulating distributions arising from bipartite measurements of shared…

Quantum Physics · Physics 2011-07-08 Julien Degorre , Marc Kaplan , Sophie Laplante , Jérémie Roland

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

We construct a succinct classical argument system for QMA, the quantum analogue of NP, from generic and standard cryptographic assumptions. Previously, building on the prior work of Mahadev (FOCS '18), Bartusek et al. (CRYPTO '22) also…

Quantum Physics · Physics 2024-05-01 Tony Metger , Anand Natarajan , Tina Zhang

In this paper we consider quantum interactive proof systems, i.e., interactive proof systems in which the prover and verifier may perform quantum computations and exchange quantum messages. It is proved that every language in PSPACE has a…

Computational Complexity · Computer Science 2007-05-23 John Watrous

Quantum resources may provide advantage over their classical counterparts. We say this as quantum advantage. Here we consider a single communication task to study different approaches of observing quantum advantage. We say this setting as a…

Quantum Physics · Physics 2025-03-03 Saronath Halder , Alexander Streltsov

Quantum uncertainty is a well-known property of quantum mechanics that states the impossibility of predicting measurement outcomes of multiple incompatible observables simultaneously. In contrast, the uncertainty in the classical domain…

Quantum computing hardware has grown sufficiently complex that it often can no longer be simulated by classical computers, but its computational power remains limited by errors. These errors corrupt the results of quantum algorithms, and it…

We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

Computational Complexity · Computer Science 2013-02-05 Tom Gur , Ran Raz

We present a two-player communication task that can be solved by a protocol of polylogarithmic cost in the simultaneous message passing model with classical communication and shared entanglement, but requires exponentially more…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

The most trivial way to simulate classically the communication of a quantum state is to transmit the classical description of the quantum state itself. However, this requires an infinite amount of classical communication if the simulation…

Quantum Physics · Physics 2014-01-07 Alberto Montina

Fingerprinting is a technique in communication complexity in which two parties (Alice and Bob) with large data sets send short messages to a third party (a referee), who attempts to compute some function of the larger data sets. For the…

Quantum Physics · Physics 2016-09-08 J. Niel de Beaudrap

Even though a method to perfectly sign quantum messages has not been known, the arbitrated quantum signature scheme has been considered as one of good candidates. However, its forgery problem has been an obstacle to the scheme being a…

Quantum Physics · Physics 2015-01-27 Taewan Kim , Jeong Woon Choi , Nam-Su Jho , Soojoon Lee

We illustrate the application of Quantum Computing techniques to the investigation of the thermodynamical properties of a simple system, made up of three quantum spins with frustrated pair interactions and affected by a hard sign problem…

Quantum information processing is at the crossroads of physics, mathematics and computer science. It is concerned with that we can and cannot do with quantum information that goes beyond the abilities of classical information processing…

Quantum Physics · Physics 2009-11-10 Gilles Brassard , Anne Broadbent , Alain Tapp

Main papers on quantum games are written by physicists for physicists, and the inevitable exploitation of physics jargon may create difficulties for mathematicians or economists. Our goal here is to make clear the physical content and to…

Optimization and Control · Mathematics 2019-09-11 Vassili Kolokoltsov

We reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. Two of the authors have recently proposed a quantum description of financial market in terms…

Quantum Physics · Physics 2007-05-23 Ireneusz Pakula , Edward W. Piotrowski , Jan Sladkowski

Quantum message authentication codes are families of keyed encoding and decoding maps that enable the detection of tampering on encoded quantum data. Here, we study a new class of simulators for quantum message authentication schemes, and…

Quantum Physics · Physics 2016-12-08 Anne Broadbent , Evelyn Wainewright

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry