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- Title
Classical and quantum geometric information flows and entanglement of relativistic mechanical systems.
- Authors
Vacaru, Sergiu I.; Bubuianu, Laurenţiu
- Abstract
This article elaborates on entanglement entropy and quantum information theory of geometric flows of (relativistic) Lagrange–Hamilton mechanical systems. A set of basic geometric and quantum mechanics and probability concepts together with methods of computation are developed in general covariant form for curved phase spaces modelled as cotangent Lorentz bundles. The constructions are based on ideas relating the Grigori Perelman's entropy for geometric flows and associated statistical thermodynamic systems to the quantum von Neumann entropy, classical and quantum relative and conditional entropy, mutual information, etc. We formulate the concept of the entanglement entropy of quantum geometric information flows and study properties and inequalities for quantum, thermodynamic and geometric entropies characterizing such systems.
- Subjects
QUANTUM information theory; QUANTUM entropy; GEOMETRIC quantum phases; QUANTUM mechanics; ENTROPY (Information theory); RELATIVISTIC mechanics; PHASE space; QUANTUM entanglement
- Publication
Quantum Information Processing, 2019, Vol 18, Issue 12, pN.PAG
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2487-z