CLASSICAL TENSORS FROM QUANTUM STATES

Author:

ANIELLO P.1,MARMO G.2,VOLKERT G. F.2

Affiliation:

1. Dip. Sc. Fisiche, Fac. Sc. Biotecnologiche and INFN-Napoli, Università Federico II, Via Cintia, Napoli, 80126, Italy

2. Dip. Sc. Fisiche and INFN-Napoli, Università Federico II, Via Cintia, Napoli, 80126, Italy

Abstract

The embedding of a manifold M into a Hilbert-space ℍ induces, via the pull-back, a tensor field on M out of the Hermitian tensor on ℍ. We propose a general procedure to compute these tensors in particular for Manifolds admitting a Lie-Group structure.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fisher metric, geometric entanglement, and spin networks;Physical Review D;2018-02-28

2. CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT II: MIXED STATES;International Journal of Geometric Methods in Modern Physics;2011-06

3. Classical and quantum Fisher information in the geometrical formulation of quantum mechanics;Physics Letters A;2010-11

4. Geometrical description of quantum mechanics—transformations and dynamics;Physica Scripta;2010-08-18

5. CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT I: PURE STATES;International Journal of Geometric Methods in Modern Physics;2010-05

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