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An obstacle affecting any proposal for a topological quantum computer based on Ising anyons is that quasiparticle braiding can only implement a finite (non-universal) set of quantum operations. The computational power of this restricted set…

Quantum Physics · Physics 2012-02-08 Mark Howard , Jiri Vala

The quantum PCP (QPCP) conjecture states that all problems in QMA, the quantum analogue of NP, admit quantum verifiers that only act on a constant number of qubits of a polynomial size quantum proof and have a constant gap between…

Quantum Physics · Physics 2016-03-09 Alex B. Grilo , Iordanis Kerenidis , Attila Pereszlényi

In this note, we observe that quantum logspace computations are verifiable by classical logspace algorithms, with unconditional security. More precisely, every language in BQL has an (information-theoretically secure) streaming proof with a…

Quantum Physics · Physics 2023-07-21 Uma Girish , Ran Raz , Wei Zhan

We present a general method to characterize the quantum correlations obtained after local measurements on multipartite systems. Sufficient conditions for a quantum system to be fully-nonlocal according to a given partition, as well as being…

Quantum Physics · Physics 2015-05-14 Mafalda L. Almeida , Daniel Cavalcanti , Valerio Scarani , Antonio Acin

$ \newcommand{\Xlin}{\mathcal{X}} \newcommand{\Zlin}{\mathcal{Z}} \newcommand{\C}{\mathbb{C}} $We give a quantum multiprover interactive proof system for the local Hamiltonian problem in which there is a constant number of provers,…

Quantum Physics · Physics 2015-12-08 Anand Natarajan , Thomas Vidick

Quantum coherence characterizes the non-classical feature of a single party system with respect to a local basis. Based on a recently introduced resource framework, coherence can be regarded as a resource and be systematically manipulated…

Quantum Physics · Physics 2018-09-26 Yunchao Liu , Qi Zhao , Xiao Yuan

The cryptographic task of secure multi-party (classical) computation has received a lot of attention in the last decades. Even in the extreme case where a computation is performed between $k$ mutually distrustful players, and security is…

Quantum Physics · Physics 2020-06-17 Yfke Dulek , Alex B. Grilo , Stacey Jeffery , Christian Majenz , Christian Schaffner

We investigate the connection between the complexity of nonlocal games and the arithmetical hierarchy, a classification of languages according to the complexity of arithmetical formulas defining them. It was recently shown by Ji, Natarajan,…

Quantum Physics · Physics 2023-04-18 Hamoon Mousavi , Seyed Sajjad Nezhadi , Henry Yuen

A binary constraint system game is a two-player one-round non-local game defined by a system of Boolean constraints. The game has a perfect quantum strategy if and only if the constraint system has a quantum satisfying assignment [R. Cleve…

Quantum Physics · Physics 2013-11-05 Zhengfeng Ji

We consider the natural extension of two-player nonlocal games to an arbitrary number of players. An important question for such nonlocal games is their behavior under parallel repetition. For two-player nonlocal games, it is known that…

Quantum Physics · Physics 2014-12-15 Harry Buhrman , Serge Fehr , Christian Schaffner

This paper introduces quantum multiparty protocols which allow the use of temporary assumptions. We prove that secure quantum multiparty computations are possible if and only if classical multi party computations work. But these strict…

Quantum Physics · Physics 2007-05-23 J. Mueller-Quade , H. Imai

We give an operator-algebraic formulation of robust self-testing in terms of states on C*-algebras. We show that a quantum correlation p is a robust self-test only if among all (abstract) states, there is a unique one achieving p. We show…

Quantum Physics · Physics 2024-11-06 Yuming Zhao

We show that the value of a general two-prover quantum game cannot be computed by a semi-definite program ofvpolynomial size (unless P=NP), a method that has been successful in more restricted quantum games. More precisely, we show that…

Quantum Physics · Physics 2007-05-23 Julia Kempe , Thomas Vidick

One of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations…

Sequential Quantum Secret Sharing schemes (QSS) do not use entangled states for secret sharing, rather they rely on sequential operations of the players on a single state which is circulated between the players. In order to check the…

Quantum Physics · Physics 2017-10-02 Marzieh Asoudeh , Vahid Karimipour

The inherent noise and complexity of quantum communication networks leads to challenges in designing quantum network protocols using classical methods. To address this issue, we develop a variational quantum optimization framework that…

Quantum Physics · Physics 2023-04-14 Brian Doolittle , Tom Bromley , Nathan Killoran , Eric Chitambar

In quantum cryptography, secure randomness expansion involves using a short private string of random bits to generate a longer one, even in the presence of an adversary who may have access to quantum resources. In this work, we demonstrate…

Quantum Physics · Physics 2024-10-01 Jaskaran Singh , Cameron Foreman , Kishor Bharti , Adán Cabello

To address the urgent need in the NISQ era for high-performance, scalable quantum compilers and to advance the integration of classical and quantum computing, we present QLLVM, an advanced Quantum-Classical co-compilation framework built on…

Quantum Physics · Physics 2026-04-17 Yu Zhu , Qiming Du , Yuqiong Jin , Woji He , Hang Lian , Xin Zhou , Jinchen Xu , Zheng Shan

To successfully execute large-scale algorithms, a quantum computer will need to perform its elementary operations near perfectly. This is a fundamental challenge since all physical qubits suffer a considerable level of noise. Moreover, real…

Quantum Physics · Physics 2023-06-29 Armands Strikis , Simon C. Benjamin , Benjamin J. Brown

The future progress of semi-device independent quantum information science depends crucially on our ability to bound the strength of the nonlocal correlations achievable with finite dimensional quantum resources. In this work, we…

Quantum Physics · Physics 2014-02-05 Miguel Navascues , Gonzalo de la Torre , Tamas Vertesi
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