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Selected problems of fundamental importance for spintronics and spin-polarized transport are reviewed, some of them with a special emphasis on their applications in quantum computing and coherent control of quantum dynamics. The role of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Das Sarma , Jaroslav Fabian , Xuedong Hu , Igor Zutic

Quantum operations (QO) describe any state change allowed in quantum mechanics, such as the evolution of an open system or the state change due to a measurement. We address the problem of which unitary transformations and which observables…

Quantum Physics · Physics 2009-11-10 F. Buscemi , G. M. D'Ariano , M. F. Sacchi

A temporally varying discretization often features in discrete gravitational systems and appears in lattice field theory models subject to a coarse graining or refining dynamics. To better understand such discretization changing dynamics in…

General Relativity and Quantum Cosmology · Physics 2014-10-03 Philipp A. Hoehn

Schwinger's algebra of selective measurements has a natural interpretation in the formalism of groupoids. Its kinematical foundations, as well as the structure of the algebra of observables of the theory, was presented in two previous…

Mathematical Physics · Physics 2020-04-07 Florio M. Ciaglia , Alberto Ibort , Giuseppe Marmo

We translate the quantum teleportation protocol into a sequence of coherent operations involving three degrees of freedom of a classical laser beam. The protocol, which we demonstrate experimentally, transfers the polarisation state of the…

Quantum Physics · Physics 2016-05-04 B. Pinheiro da Silva , M. Astigarreta Leal , C. E. R. Souza , E. F. Galvão , A. Z. Khoury

In the first part of this paper I propose the Construction Interpretation of the Quantum. The main point of this interpretation is that (unlike previous interpretations) it is not actually an interpretation but rather a methodology aimed to…

Quantum Physics · Physics 2018-08-10 Lucien Hardy

We first introduce and discuss density operator interpretations of quantum theory as a special case of a more general class of interpretations, giving special attention to a version that we call the `atomic version'. We then review some…

Quantum Physics · Physics 2007-05-23 Guido Bacciagaluppi , Michael Dickson

We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator $Z$. By using these transition maps as Kraus (or noise) operators, an extension of the…

Mathematical Physics · Physics 2021-02-03 Jorge R. Bolaños-Servín , Roberto Quezada , Josué I. Rios-Cangas

Unlike standard quantum mechanics, dynamical reduction models assign no particular a priori status to `measurement processes', `apparata', and `observables', nor self-adjoint operators and positive operator valued measures enter the…

Quantum Physics · Physics 2009-11-13 A. Bassi , G. C. Ghirardi , D. G. M. Salvetti

By virtue of the integration method within P-ordered product of operators and the property of entangled state representation, we reveal new physical interpretation of the generalized two-mode squeezing operator (GTSO), and find it be…

Quantum Physics · Physics 2016-10-23 F. Gao , Y. X. Wang , H. Y. Fan , X. B. Tang

We review two approaches to the definition of the Hilbert space and evolution in mechanical theories with local time-reparametrization invariance, which are often used as toy models of quantum gravity. The first approach is based on the…

General Relativity and Quantum Cosmology · Physics 2023-10-20 Leonardo Chataignier

Recently a new formulation of quantum mechanics has been suggested which is based on the concept of signed particles, that is, classical objects provided with a position, a momentum and a sign simultaneously. In this paper, we comment on…

Quantum Physics · Physics 2017-04-21 Jean Michel Sellier , K. G. Kapanova

A local interpretation of quantum mechanics is presented. Its main ingredients are: first, a label attached to one of the virtual paths in the path integral formalism, determining the output for measurement of position or momentum; second,…

Quantum Physics · Physics 2015-09-03 Carlos Lopez

The information of quantum pathways can be extracted in the framework of the Hamiltonian-encoding and Observable-decoding method. For closed quantum systems, only off-diagonal elements of the Hamiltonian in the Hilbert space is required to…

Quantum Physics · Physics 2017-10-19 Yaoxiong Wang , Ling Yang , Ying Wang , Shouzhi Li , Dewen Cao , Qing Gao , Feng Shuang , Fang Gao

We present a general formalism with the aim of describing the situation of an entity, how it is, how it reacts to experiments, how we can make statistics with it, and how it changes under the influence of the rest of the universe. Therefore…

Quantum Physics · Physics 2007-05-23 Diederik Aerts

We start to develop the quantization formalism in a hyperbolic Hilbert space. Generalizing Born's probability interpretation, we found that unitary transformations in such a Hilbert space represent a new class of transformations of…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

We develop a new mathematical approach to diffeomorphism invariant quantum states for the quantisation of general field theories such as general relativity and modified gravity. Treating quantum fields as fibre bundles, we discuss operators…

Mathematical Physics · Physics 2017-10-31 James Moffat , Teodora Oniga , Charles H. -T. Wang

The suggested operator manifold formalism enables to develop an approach to the unification of the geometry and the field theory. We also elaborate the formalism of operator multimanifold yielding the multiworld geometry involving the…

High Energy Physics - Theory · Physics 2007-05-23 G. T. Ter-Kazarian

In a recent paper we have considered an explicit model of a PT-symmetric system based on a modification of the canonical commutation relation. We have introduced the so-called {\em pseudo-bosons}, and the role of Riesz bases in this context…

Mathematical Physics · Physics 2015-05-18 Fabio Bagarello

In this contribution we use the model of discrete spaces that we have put forward in former articles to give an interpretation to the phenomena of quantum entanglement and quantum states reduction that rests upon a new way of considering…

General Physics · Physics 2012-09-11 Pierre Peretto