Symmetries, Group Actions, and Entanglement-Reference-Cited by-同舟云学术

Symmetries, Group Actions, and Entanglement

Published:2006-12 Issue:04 Volume:13 Page:343-362
ISSN:1230-1612
Container-title:Open Systems & Information Dynamics
language:en
Short-container-title:Open Syst. Inf. Dyn.

Author:

Grabowski Janusz¹,Kuś Marek²,Marmo Giuseppe³⁴

Affiliation:

1. Polish Academy of Sciences, Institute of Mathematics, Śniadeckich 8, P. O. Box 21, 00–956 Warsaw, Poland

2. Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02–668 Warszawa, Poland

3. Dipartimento di Scienze Fisiche, Università "Federico II" di Napoli, Complesso Universitario di Monte Sant Angelo, Via Cintia, I-80126 Napoli, Italy

4. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte Sant Angelo, Via Cintia, I-80126 Napoli, Italy

Abstract

We address several problems concerning the geometry of the space of Hermitian operators on a finite-dimensional Hilbert space, in particular the geometry of the space of density states and canonical group actions on it. For quantum composite systems we discuss and give examples of entanglement measures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1007/s11080-006-9013-3

Reference12 articles.

1. Geometry of quantum systems: density states and entanglement

2. States and effects

3. Algebraic Geometry

4. Entanglement monotones

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