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A universal quantum computer can be constructed using abelian anyons. Two qubit quantum logic gates such as controlled-NOT operations are performed using topological effects. Single-anyon operations such as hopping from site to site on a…

量子物理 · 物理学 2007-05-23 Seth Lloyd

In this work, we present a logical formalism for reasoning about quantum systems in finite dimension. Contrary to the usual approach in quantum logic, our formalism is based classical first-order logic, which allows us to use the tools of…

量子物理 · 物理学 2026-02-19 Olivier Brunet

We propose a definition of quantum computable functions as mappings between superpositions of natural numbers to probability distributions of natural numbers. Each function is obtained as a limit of an infinite computation of a quantum…

计算机科学中的逻辑 · 计算机科学 2015-04-14 Stefano Guerrini , Simone Martini , Andrea Masini

Easily accessible through tabletop experiments based on laser propagation inside nonlinear optical media, Paraxial Fluids of Light are emerging as promising platforms for the simulation and exploration of quantum-like phenomena. In…

光学 · 物理学 2023-12-20 Tiago D. Ferreira , Ariel Guerreiro , Nuno A. Silva

I discuss classical and quantum recurrence theorems in a unified manner, treating both as generalisations of the fact that a system with a finite state space only has so many places to go. Along the way I prove versions of the recurrence…

量子物理 · 物理学 2013-06-18 David Wallace

Representations of quantum computations are almost always based on a tensor product $\otimes$-structure. This coincides with what we are able to execute in our experiments, as well as what we observe in Nature, but it makes certain familiar…

量子物理 · 物理学 2021-11-05 Luca Mondada

The paper develops the idea that the dynamics of both classical and quantum processes is time reversible. It is shown how this classical analogy allows one to define the measure for the path integral in quantum mechanics.

高能物理 - 唯象学 · 物理学 2007-05-23 I. D. Mandzhavidze

We discuss how to reconstruct quantum theory from operational postulates. In particular, the following postulates are consistent only with for classical probability theory and quantum theory. Logical Sharpness: There is a one-to-one map…

量子物理 · 物理学 2013-03-20 Lucien Hardy

Many quantum systems may have the same classical limit. We argue that in the classical limit their traces do not necessarily converge one to another. The trace formula allows to express quantum traces by means of classical quantities as…

chao-dyn · 物理学 2009-10-31 Prot Pakonski

We present the fundamental limits to the precision of estimating parameters of a quantum matter system probed by light, even when some of the light is lost. This practically inevitable scenario leads to a tripartite quantum system of…

量子物理 · 物理学 2025-11-26 Aiman Khan , Francesco Albarelli , Animesh Datta

This article deals with theoretical developments in the subject of quantum information and quantum computation, and includes an overview of classical information and some relevant quantum mechanics. The discussion covers topics in quantum…

量子物理 · 物理学 2007-05-23 Jeffrey Bub

A framework to describe a broad class of physical operations (including unitary transformations, dissipation, noise, and measurement) in a quantum optics experiment is given. This framework provides a powerful tool for assessing the…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett

We present an information-theoretic interpretation of quantum formalism based on a Bayesian framework and devoid of any extra axiom or principle. Quantum information is construed as a technique for analyzing a logical system subject to…

信息论 · 计算机科学 2020-12-01 Michel Feldmann

We propose an interpretation of quantum separability based on a physical principle: local time reversal. It immediately leads to a simple characterization of separable quantum states that reproduces results known to hold for binary…

量子物理 · 物理学 2007-05-23 Anna Sanpera , Rolf Tarrach , Guifre Vidal

Recently, apparent nonphysical implications of non-Hermitian quantum mechanics (NHQM) have been discussed in the literature. In particular, the apparent violation of the no-signaling theorem, discrimination of nonorthogonal states, and the…

量子物理 · 物理学 2019-12-25 Chia-Yi Ju , Adam Miranowicz , Guang-Yin Chen , Franco Nori

A comprehensive and detailed account is presented for the finite-temperature many-body perturbation theory for electrons that expands in power series all thermodynamic functions on an equal footing. Algebraic recursions in the style of the…

统计力学 · 物理学 2021-09-21 So Hirata

Classical physics is approached from quantum mechanics in the macroscopic limit. The technical device to achieve this goal is the quantum version of the central limit theorem, derived for an observable at a given time and for the…

量子物理 · 物理学 2021-09-01 Janos Polonyi

To date, work on formalizing connectionist computation in a way that is at least Turing-complete has focused on recurrent architectures and developed equivalences to Turing machines or similar super-Turing models, which are of more…

人工智能 · 计算机科学 2015-05-04 Anthony Di Franco

Long sequences of successive direct (projective) measurements or observations of a few "uninteresting" physical quantities of a quantum system may reveal indirect, but precise and unambiguous information on the values of some very…

数学物理 · 物理学 2015-06-04 Miguel Ballesteros , Martin Fraas , Jürg Fröhlich , Baptiste Schubnel

We offer an alternative to the conventional network formulation of quantum computing. We advance the analog approach to quantum logic gate/circuit construction. As an illustration, we consider the spatially extended NOT gate as the first…

量子物理 · 物理学 2014-11-18 Dima Mozyrsky , Vladimir Privman , Steven P. Hotaling