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This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum…

量子物理 · 物理学 2009-11-11 Michael A. Nielsen

Though the truths of logic and pure mathematics are objective and independent of any contingent facts or laws of nature, our knowledge of these truths depends entirely on our knowledge of the laws of physics. Recent progress in the quantum…

历史与综述 · 数学 2007-05-23 David Deutsch , Artur Ekert , Rossella Lupacchini

We show that universal quantum logic can be achieved using only linear optics and a quantum shutter device. With these elements, we design a quantum memory for any number of qubits and a CNOT gate which are the basis of a universal quantum…

量子物理 · 物理学 2007-05-23 Juan Carlos Garcia-Escartin , Pedro Chamorro-Posada

We propose a semantic representation of the standard quantum logic QL within a classical, normal modal logic, and this via a lattice-embedding of orthomodular lattices into Boolean algebras with one modal operator. Thus our classical logic…

量子物理 · 物理学 2017-02-08 Simon Kramer

In this study, a distinctive feature of quantum computation (QC) is characterized. To this end, a seemingly-powerful classical computing model, called "stochastic ensemble machine (SEnM)," is considered. The SEnM runs with an ensemble…

量子物理 · 物理学 2018-08-28 Jeongho Bang , Junghee Ryu , Chang-Woo Lee , Ki Hyuk Yee , Jinhyoung Lee , Wonmin Son

Quantum computing relies on processing information within a quantum system with many continuous degrees of freedom. The practical implementation of this idea requires complete control over all of the 2^n independent amplitudes of a…

凝聚态物理 · 物理学 2007-05-23 M. I. Dyakonov

Scholars have wondered for a long time whether the language of quantum mechanics introduces a quantum notion of truth which is formalized by quantum logic (QL) and is incompatible with the classical (Tarskian) notion. We show that QL can be…

量子物理 · 物理学 2021-12-14 Claudio Garola

We investigate the applicability of the formalism of quantum mechanics to everyday life. It seems to be directly relevant for situations in which the very act of coming to a conclusion or decision on one issue affects one's confidence about…

人工智能 · 计算机科学 2018-11-13 Steven Gratton

Experimental realization of a universal set of quantum logic gates with high-fidelity is critical to quantum information processing, which is always challenging by inevitable interaction between the quantum system and environment. Geometric…

Quantum cosmology is the quantum theory of the entire universe. Although strange at first sight, it is appropriate because (1) our world appears to be fundamentally quantum, (2) the classical description of gravity breaks down at…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Don N. Page

We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It requires fewer assumptions than previously known. The…

量子物理 · 物理学 2024-01-03 Robert Raussendorf , Wang Yang , Arnab Adhikary

The paradigm of measurement-based quantum computation opens new experimental avenues to realize a quantum computer and deepens our understanding of quantum physics. Measurement-based quantum computation starts from a highly entangled…

An algorithm for structured database searching is presented and used to solve the set partition problem. O(n) oracle calls are required in order to obtain a solution, but the probability that this solution is optimal decreases exponentially…

量子物理 · 物理学 2007-05-23 Brian Murphy

Measurement-based quantum computation (MBQC) is a universal platform to realize unitary gates, only using measurements which act on a pre-prepared entangled resource state. By deforming the measurement bases, as well as the geometry of the…

量子物理 · 物理学 2024-12-31 Daniel Azses , Jonathan Ruhman , Eran Sela

Whenever a mathematical proposition to be proved requires more information than it is contained in an axiomatic system, it can neither be proved nor disproved, i.e. it is undecidable, or logically undetermined, within this axiomatic system.…

量子物理 · 物理学 2009-12-06 Caslav Brukner

In this paper, we propose Proq, a runtime assertion scheme for testing and debugging quantum programs on a quantum computer. The predicates in Proq are represented by projections (or equivalently, closed subspaces of the state space),…

编程语言 · 计算机科学 2020-06-02 Gushu Li , Li Zhou , Nengkun Yu , Yufei Ding , Mingsheng Ying , Yuan Xie

I summarize a research program that aims to reconstruct quantum theory from a fundamental physical principle that, while a quantum system has no intrinsic hidden variables, it can be understood using a reference measurement. This program…

量子物理 · 物理学 2025-12-16 Blake C. Stacey

Quantum computer programming is emerging as a new subject domain from multidisciplinary research in quantum computing, computer science, mathematics (especially quantum logic, lambda calculi, and linear logic), and engineering attempts to…

编程语言 · 计算机科学 2008-12-18 Donald A. Sofge

We introduce sequential analysis in quantum information processing, by focusing on the fundamental task of quantum hypothesis testing. In particular our goal is to discriminate between two arbitrary quantum states with a prescribed error…

Query complexity is a common tool for comparing quantum and classical computation, and it has produced many examples of how quantum algorithms differ from classical ones. Here we investigate in detail the role that oracles play for the…

量子物理 · 物理学 2019-08-20 Niklas Johansson , Jan-Åke Larsson