Dynamical Vector Fields on the Manifold of Quantum States

F. M. Ciaglia; F. Di Cosmo; A. Ibort; M. Laudato; G. Marmo

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Dynamical Vector Fields on the Manifold of Quantum States

机译：量子态流形上的动态矢量场

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摘要

In this paper we shall consider the stratified manifold of quantum states and the vector fields which act on it. In particular, we show that the infinitesimal generator of the GKLS evolution is composed of a generator of unitary transformations plus a gradient vector field along with a Kraus vector field transversal to the strata defined by the involutive distribution generated by the former ones.

机译：在本文中，我们将考虑量子态的分层流形及其上作用的矢量场。特别是，我们表明，GKLS演化的无穷小生成器由unit变换生成器，梯度矢量场以及横向于由前者生成的渐开分布所定义的地层的Kraus矢量场组成。

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来源
《Open Systems & Information Dynamics》 |2017年第3期|59-96|共38页
作者
F. M. Ciaglia; F. Di Cosmo; A. Ibort; M. Laudato; G. Marmo;
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作者单位

Dipartimento di Fisica, Universita di Napoli "Federico II" Via Cinthia Edificio 6, 1-80126 Napoli, Italy,INFN-Sezione di Napoli, Via Cinthia Edificio 6, 1-80126 Napoli, Italy;

Dipartimento di Fisica, Universita di Napoli "Federico II" Via Cinthia Edificio 6, 1-80126 Napoli, Italy,INFN-Sezione di Napoli, Via Cinthia Edificio 6, 1-80126 Napoli, Italy;

Departamento de Matematicas, Universidad Carlos III de Madrid Avda. de la Universidad 30, 28911 Leganes, Madrid, Spain,ICMAT, Instituto de Ciencias Matematicas (CSIC-UAM-UC3M-UCM) Nicolas Cabrera,13-15, Campus de Cantoblanco, UAM, 28049, Madrid, Spain;

Dipartimento di Fisica, Universita di Napoli "Federico II" Via Cinthia Edificio 6, 1-80126 Napoli, Italy;

Dipartimento di Fisica, Universita di Napoli "Federico II" Via Cinthia Edificio 6, 1-80126 Napoli, Italy,INFN-Sezione di Napoli, Via Cinthia Edificio 6, 1-80126 Napoli, Italy;

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正文语种 eng
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关键词
Quantum dynamical semigroups; dynamical systems;

机译：量子动力学半群;动力系统;

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Dynamical Vector Fields on the Manifold of Quantum States

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