Classical and quantum geometric information flows and entanglement of relativistic mechanical systems

DOI10.1007/S11128-019-2487-ZOpenAlexW2986998344WikidataQ126840669 ScholiaQ126840669MaRDI QIDQ2677533

Laurenţiu Bubuianu, Sergiu I. Vacaru

Publication date: 5 January 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13015

zbMATH Keywords

entanglement entropyPerelman W-entropyquantum geometric information flowsrelativistic Lagrange-Hamilton mechanics

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Special relativity (83A05) Exact solutions to problems in general relativity and gravitational theory (83C15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Geometric evolution equations (53E99) Quantum entropies (81P17)

Related Items (1)

Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gravitation from entanglement in holographic CFTs
• Particle creation by black holes
• Building up spacetime with quantum entanglement
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• Topological entanglement entropy from the holographic partition function
• Notes on Perelman's papers
• Nonlinear models in \(2+\epsilon\) dimensions
• Microscopic origin of the Bekenstein-Hawking entropy
• Geometric flows and Perelman's thermodynamics for black ellipsoids in \(R^2\) and Einstein gravity theories
• Three-manifolds with positive Ricci curvature
• The entropy of Lagrange-Finsler spaces and Ricci flows
• Entanglement entropy of black holes
• On supersymmetric geometric flows and \(\mathcal R^2\) inflation from scale invariant supergravity
• Black holes with MDRs and Bekenstein-Hawking and Perelman entropies for Finsler-Lagrange-Hamilton spaces
• The four laws of black hole mechanics
• Cool horizons for entangled black holes
• Quantum Computation and Quantum Information
• Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows
• The role of relative entropy in quantum information theory
• Area Laws in Quantum Systems: Mutual Information and Correlations
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Geometrothermodynamics
• Rényi Extrapolation of Shannon Entropy
• Bell’s theorem without inequalities
• Schrödinger's Cat: Where Does The Entanglement Come From?
• Black Holes and Entropy
• Sandwiched Rényi divergence satisfies data processing inequality
• On quantum Rényi entropies: A new generalization and some properties
• Nonholonomic Ricci flows. II. Evolution equations and dynamics
• Conditional expectation in an operator algebra. IV. Entropy and information
• Locally anisotropic kinetic processes and thermodynamics in curved spaces.

This page was built for publication: Classical and quantum geometric information flows and entanglement of relativistic mechanical systems