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Open Quantum Systems Decoherence Quantum Simulation

Dynamical Vector Fields on the Manifold of Quantum States

arXiv

Authors: Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Marco Laudato, Giuseppe Marmo

Year

2017

Paper ID

44860

Status

Preprint

Abstract Read

~2 min

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Abstract

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.

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In this paper we shall consider the stratified manifold of quantum states and the vector fields which act on it.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.00293 [2] arXiv https://arxiv.org/abs/1707.00293 [3] Publisher https://arxiv.org/abs/1707.00293

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