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This paper introduces the notion of fuzzy process as a formalism for the idea of fuzzy contact between a device and its environment. The notions of absolute correctness and relative correctness are defined. In order to work with concurrency…

计算机科学中的逻辑 · 计算机科学 2009-06-01 Lucian Luca , Lucian L. Luca

We attempt to contribute some novel points of view to the "foundations of quantum mechanics", using mathematical tools from "quantum probability theory" (such as the theory of operator algebras). We first introduce an abstract algebraic…

量子物理 · 物理学 2013-10-08 J. Fröhlich , B. Schubnel

We outline the basic questions that are being studied in the theory of entanglement. Following a brief review of some of the main achievements of entanglement theory for finite-dimensional quantum systems such as qubits, we will consider…

量子物理 · 物理学 2009-09-29 J. Eisert , M. B. Plenio

We consider some generalization of the theory of quantum states and demonstrate that the consideration of quantum states as sheaves can provide, in principle, more deep understanding of some well-known phenomena. The key ingredients of the…

量子物理 · 物理学 2017-03-29 Antonina N. Fedorova , Michael G. Zeitlin

Taking quantum formalism as a point of reference and connection, we explore the various possibilities that arise in the construction of physical theories. Analyzing the distinct physical phenomena that each of them may describe, we…

量子物理 · 物理学 2013-03-19 M. Ferrero , J. L. Sánchez-Gómez

For a wide set of quantum systems it is demonstrated that the quantum regime can be considered as the transient phase while the final classical statistical regime is a permanent state. A basis where exact matrix decoherence appears for…

量子物理 · 物理学 2009-11-06 Mario Castagnino , Roberto Laura

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states…

数学物理 · 物理学 2014-11-03 Maciej Horowski , Anatol Odzijewicz , Agnieszka Tereszkiewicz

The Hilbert space formalism of quantum mechanics is reviewed with emphasis on applications to quantum computing. Standard interferomeric techniques are used to construct a physical device capable of universal quantum computation. Some…

高能物理 - 理论 · 物理学 2007-05-23 K. Svozil

PT-symmetric quantum theory was originally proposed with the aim of extending standard quantum theory by relaxing the Hermiticity constraint on Hamiltonians. However, no such extension has been formulated that consistently describes states,…

量子物理 · 物理学 2022-05-26 Abhijeet Alase , Salini Karuvade , Carlo Maria Scandolo

A formalism is presented to express decoherence both in the markovian and nonmarkovian regimes and both dissipative and nondissipative in isolated systems. The main physical hypothesis, already contained in the literature, amounts to…

量子物理 · 物理学 2007-05-23 D. Salgado , J. L. Sanchez-Gomez

We offer a fresh perspective on the relational interpretation of quantum mechanics as a way of thinking about the world described by quantum theory based on quantifiable notions of information. This allows us to provide a definition of a…

量子物理 · 物理学 2026-02-10 Andrea Di Biagio , Carlo Rovelli

Systems of neutral kaons can be used to observe entanglement and the violation of Bell inequalities. The decay of these particles poses some problems, however, and recently an effective formalism for treating such systems has been derived.…

量子物理 · 物理学 2016-10-10 Marius Paraschiv , Sabine Wölk , Thomas Mannel , Otfried Gühne

Quantum communication and cryptographic protocols are well on the way to becoming an important practical technology. Although a large amount of successful research has been done on proving their correctness, most of this work does not make…

计算机科学中的逻辑 · 计算机科学 2011-08-03 Timothy A. S. Davidson , Simon J. Gay , Rajagopal Nagarajan

The paper presents shortly the geometric approach to the problem of a general quantization formalism, both physically meaningful and mathematically consistent.

物理学史与哲学 · 物理学 2026-01-19 Marius Grigorescu

The formalism of covariant quantum theory, introduced by Reisenberger and Rovelli, casts the description of quantum states and evolution into a framework compatable with the principles of general relativity. The leap to this covariant…

量子物理 · 物理学 2008-02-13 S. Jay Olson , Jonathan P. Dowling

We present a formulation of quantum circuits where the focus is set on whether a given circuit (made of unitary operators and projective measurements with definite outcomes) does reflect an actually realizable physical experiment. In order…

量子物理 · 物理学 2016-05-04 Olivier Brunet

We consider the quantum computational process as viewed by an insider observer: this is equivalent to an isomorphism between the quantum computer and a quantum space, namely the fuzzy sphere. The result is the formulation of a reversible…

量子物理 · 物理学 2007-05-23 Paola A. Zizzi

Modern quantum engineering techniques enabled successful foundational tests of quantum mechanics. Yet, the universal validity of quantum postulates is an open question. Here we propose a new theoretical framework of Q-data tests, which…

量子物理 · 物理学 2022-06-29 Michał Eckstein , Paweł Horodecki

Using tangent bundle geometry we construct an equivalent reformulation of classical field theory on flat spacetimes which simultaneously encodes the perspectives of multiple observers. Its generalization to curved spacetimes realizes a new…

高能物理 - 理论 · 物理学 2018-06-13 Mattias N. R. Wohlfarth

Vagueness is a linguistic phenomenon as well as a property of physical objects. Fuzzy set theory is a mathematical model of vagueness that has been used to define vague models of computation. The prominent model of vague computation is the…

其他计算机科学 · 计算机科学 2018-08-27 Apostolos Syropoulos