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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-23 17:46 |
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Conference: Bucharest University Faculty of Physics 2014 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Entanglement in two-mode Gaussian open systems
Authors:
Tatiana MIHAESCU
Affiliation:
1)Faculty of Physics, University of Bucharest
2)IFIN HH, Departament of Theoretical Physics
E-mail
mihaescu92tatiana@gmail.com
Keywords:
entanglement,density operator, Gaussian states, covariance matrix,symplectic invariants, Lindblad master equation.
Abstract:
This paper is an investigation in quantum information theory mainly based on exploring the tremendous feature of the quantum world, namely quantum entanglement. It starts by introducing the notion of density operator and of its properties, and continues further with phase space description of continuous variable systems, which serves as an important mathematical tool for studying the Gaussian states. The Wigner characteristic function is defined, the peculiarities of the second-order statistical moments of Gaussian states are investigated, and the canonical transformations preserving their properties are analyzed as well. Entanglement is qualitatively defined as the opposite of separability of quantum systems, which in the case of two-mode Gaussian states is shown to be reduced to simple constraints on symplectic invariants obtained from the covariance matrix. The key subject in the present work is the analysis of open quantum systems, which is performed with the use of Lindblad master equation. The example of the two-dimensional harmonic oscillator is analyzed along with the evolution of quantum entanglement of two-mode Gaussian systems in a thermal environment.
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