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QMA (Quantum Merlin Arthur) is the class of problems which, though potentially hard to solve, have a quantum solution which can be verified efficiently using a quantum computer. It thus forms a natural quantum version of the classical…

量子物理 · 物理学 2016-03-02 Tomoyuki Morimae , Daniel Nagaj , Norbert Schuch

One can fix the randomness used by a randomized algorithm, but there is no analogous notion of fixing the quantumness used by a quantum algorithm. Underscoring this fundamental difference, we show that, in the black-box setting, the…

计算复杂性 · 计算机科学 2024-04-26 Scott Aaronson , DeVon Ingram , William Kretschmer

Distinguishing logarithmic depth quantum circuits on mixed states is shown to be complete for QIP, the class of problems having quantum interactive proof systems. Circuits in this model can represent arbitrary quantum processes, and thus…

量子物理 · 物理学 2010-06-02 Bill Rosgen

Quantum compiling means fast, device-aware implementation of quantum algorithms (i.e., quantum circuits, in the quantum circuit model of computation). In this paper, we present a strategy for compiling IBM Q -aware, low-depth quantum…

量子物理 · 物理学 2020-03-13 Davide Ferrari , Michele Amoretti

This paper introduces quantum ``multiple-Merlin''-Arthur proof systems in which Arthur receives multiple quantum proofs that are unentangled with each other. Although classical multi-proof systems are obviously equivalent to classical…

量子物理 · 物理学 2008-05-12 Hirotada Kobayashi , Keiji Matsumoto , Tomoyuki Yamakami

We present a step towards the goal of producing a general cryptographic 'compilation' procedure which can translate any entangled nonlocal game into a single-prover interactive protocol while preserving quantum completeness and soundness,…

量子物理 · 物理学 2023-05-19 Anand Natarajan , Tina Zhang

We show that the class QMA does not change even if we restrict Arthur's computing ability to only Clifford gate operations (plus classical XOR gate). The idea is to use the fact that the preparation of certain single-qubit states, so called…

量子物理 · 物理学 2015-09-25 Tomoyuki Morimae , Masahito Hayashi , Harumichi Nishimura , Keisuke Fujii

The rapid advancement of quantum hardware necessitates the development of reliable methods to certify its correct functioning. However, existing certification tests fall short, as they either suffer from systematic errors or do not…

量子物理 · 物理学 2025-08-13 Jan Nöller , Nikolai Miklin , Martin Kliesch , Mariami Gachechiladze

Recently, there are more and more organizations offering quantum-cloud services, where any client can access a quantum computer remotely through the internet. In the near future, these cloud servers may claim to offer quantum computing…

量子物理 · 物理学 2021-05-20 Xi Chen , Bin Cheng , Zhaokai Li , Xinfang Nie , Nengkun Yu , Man-Hong Yung , Xinhua Peng

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:…

量子物理 · 物理学 2023-02-10 Anand Natarajan , Tina Zhang

We consider situations in which i) Alice wishes to send quantum information to Bob via a noisy quantum channel, ii) Alice has a classical description of the states she wishes to send and iii) Alice can make use of a finite amount of…

量子物理 · 物理学 2009-11-07 Jonathan Barrett

It was recently proved that a sound and complete qualitative simulator does not exist, that is, as long as the input-output vocabulary of the state-of-the-art QSIM algorithm is used, there will always be input models which cause any…

人工智能 · 计算机科学 2011-11-21 Ö. Yılmaz , A. C. C. Say

We propose a class of quantum no-key protocols for private communication of classical message based on quantum computing of random Boolean permutations, and demonstrate that they are information-theoretic secure. These protocols are…

量子物理 · 物理学 2013-06-17 Li Yang

Quantum inspired protocols e.g. [AAV13,AG17] attempt to achieve a single-prover interactive protocol where a classical machine can verify quantum computations in an information-theoretically secure manner. We define a family of protocols…

量子物理 · 物理学 2021-05-14 Ayal Green

We initiate the study of parallel quantum programming by defining the operational and denotational semantics of parallel quantum programs. The technical contributions of this paper include: (1) find a series of useful proof rules for…

计算机科学中的逻辑 · 计算机科学 2019-10-02 Mingsheng Ying , Li Zhou , Yangjia Li

The ultimate goal of the classicality programme is to quantify the amount of quantumness of certain processes. Here, classicality is studied for a restricted type of process: quantum information processing (QIP). Under special conditions,…

量子物理 · 物理学 2009-11-07 David Poulin

A well known cryptographic primitive is so called random access code. Namely, Alice is to send to Bob one of two bits, so that Bob has the choice which bit he wants to learn about. However at any time Alice should not learn Bob's choice,…

量子物理 · 物理学 2016-10-05 Andrzej Grudka , Michał Horodecki , Ryszard Horodecki , Antoni Wójcik

A proof of quantumness is a protocol through which a classical machine can test whether a purportedly quantum device, with comparable time and memory resources, is performing a computation that is impossible for classical computers.…

计算复杂性 · 计算机科学 2026-04-21 A. C. Cem Say , M. Utkan Gezer

We study the simultaneous message passing (SMP) model of communication complexity, for the case where one party is quantum and the other is classical. We show that in an SMP protocol that computes some function with the first party sending…

量子物理 · 物理学 2008-12-28 Dmitry Gavinsky , Oded Regev , Ronald de Wolf

We prove a tight parallel repetition theorem for $3$-message computationally-secure quantum interactive protocols between an efficient challenger and an efficient adversary. We also prove under plausible assumptions that the security of…

量子物理 · 物理学 2024-04-18 John Bostanci , Luowen Qian , Nicholas Spooner , Henry Yuen