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We give a brief account of a construction called tokens here, which is significant in algebra, analysis, combinatorics, and physics. Tokens allow to express a semigroup on one set via a semigroup convolution on another set. Therefore tokens…

泛函分析 · 数学 2007-05-23 Vladimir V. Kisil

We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations…

量子物理 · 物理学 2021-01-06 G. G. Amosov

We formalize the correspondence between quantum states and quantum operations isometrically, and harness its consequences. This correspondence was already implicit in the various proofs of the operator sum representation of Completely…

量子物理 · 物理学 2009-11-10 Pablo Arrighi , Christophe Patricot

After introducing the partially separable concept, we proved the equivalence between the partial separability of a given $m$-partite subsystem with $m$ qubits and the purity of states of this $m$-partite subsystem for a pure state in…

量子物理 · 物理学 2007-05-23 An Min Wang

The problem of characterizing complexity of quantum dynamics - in particular of locally interacting chains of quantum particles - will be reviewed and discussed from several different perspectives: (i) stability of motion against external…

量子物理 · 物理学 2009-11-13 Tomaz Prosen

This is a survey on the recent theory of chaos in partial differential equations.

混沌动力学 · 物理学 2009-09-07 Y. Charles Li

New effective operators, describing the photons with given polarization at given position with respect to a source are proposed. These operators can be used to construct the near and intermediate zones quantum optics. It is shown that the…

量子物理 · 物理学 2007-05-23 Alexander S. Shumovsky , Alexander A. Klyachko

In this brief survey we give an introduction to some aspects of "atoms" on metric spaces and their connection with linear operators.

经典分析与常微分方程 · 数学 2007-05-23 Stephen Semmes

We begin by discussing ``What exists?'', i.e. ontology, in Classical Physics which provided a description of physical phenomena at the macroscopic level. The microworld however necessitates a introduction of Quantum ideas for its…

量子物理 · 物理学 2007-05-23 Virendra Singh

Introducing creation and annihilation operators for negative frequency components extends the algebra of smeared local observables of quantum optics to include an associated classical random field optics.

量子物理 · 物理学 2008-06-10 Peter Morgan

The quantum counterpart of the classically chaotic kicked rotor is investigated using Bohm's appraoch to quantum theory.

量子物理 · 物理学 2007-05-23 Z. Malik , C. Dewdney

The non-individuals interpretation of quantum mechanics is presented with the aim of clarifying it and highflying some of its salient features. Alternative formulations of it are proposed and examined.

量子物理 · 物理学 2020-08-27 Décio Krause , Jonas R. B. Arenhart , Otávio Bueno

Since its origins, Quantum mechanics has presented problems with the concept of individuality. It is argued that quantum particles do not have individuality, and so, one can speak about "entities without identity". On the contrary, we claim…

量子物理 · 物理学 2011-12-21 Federico Holik

There has been quite some activity and progress concerning spectral asymptotics of random operators that are defined on percolation subgraphs of different types of graphs. In this short survey we record some of these results and explain the…

数学物理 · 物理学 2015-03-13 Peter Müller , Peter Stollmann

Coherence, being at the heart of interference phenomena, is found to be an useful resource in quantum information theory. Here we want to understand quantum coherence under the combination of two fundamentally dual processes, viz., cloning…

量子物理 · 物理学 2017-08-15 Sumana Karmakar , Ajoy Sen , Debasis Sarkar

This survey, aimed at information processing researchers, highlights intriguing but lesser known results, corrects misconceptions, and suggests research areas. Themes include: certainty in quantum algorithms; the "fewer worlds" theory of…

量子物理 · 物理学 2007-05-23 Eleanor G. Rieffel

We introduce an order on the set of non-divisorial ideals of a numerical semigroup $S$, and link antichains of this order with the star operations on $S$; subsequently, we use this order to find estimates on the number of star operations on…

交换代数 · 数学 2016-04-12 Dario Spirito

Of crucial importance to the development of quantum computing and information has been the construction of a quantum operations formalism that admits a description of quantum noise while simultaneously revealing the behavior of an open…

量子物理 · 物理学 2011-05-09 Colin Wilmott

Quantum interference and spin-orbit interaction in a one-dimensional mesoscopic semiconductor ring with one input and two output leads can act as a spin beam splitter. Different polarization can be achieved in the two output channels from…

介观与纳米尺度物理 · 物理学 2007-05-23 Peter Foldi , Orsolya Kalman , Mihaly G. Benedict , F. M. Peeters