Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems

Ignacio S. Gomez, Mario Castagnino

Type: Article

Publication Date: 2013-09-03

Citations: 15

DOI: https://doi.org/10.1016/j.physa.2013.08.070

View Publication

Download PDF

Locations

Physica A Statistical Mechanics and its Applications - View
arXiv (Cornell University) - View - PDF
Americanae (AECID Library) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Classification of Universal Notions of Stochastic Independence (Trends in Infinite Dimensional Analysis and Quantum Probability)	2002	Naofumi Muraki
+	Classification of Universal Notions of Stochastic Independence (Trends in Infinite Dimensional Analysis and Quantum Probability)	2002	尚文村木
+	Information, Entropy and Bernoulli Systems	2000	Meir Smorodinsky
+	Kolmogorov complexity in quantum mechanics and quantum computing	2021	Alexei Kaltchenko
+	The Ergodic Theorem in Quantum Statistical Mechanics	1963
+	Ergodic theory, randomness, and dynamical systems	1974	Donald Ornstein
+	Ergodicity in classical and quantum statistical mechanics	1976	W. Guz
+ PDF Chat	Concepts of quantum non-Markovianity: A hierarchy	2018	Li Li Michael J. W. Hall Howard M. Wiseman
+ PDF Chat	A Quantum Version of Spectral Decomposition Theorem of dynamical systems, quantum chaos hierarchy: Ergodic, mixing and exact	2014	Ignacio S. Gomez Mario Castagnino
+ PDF Chat	Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno’s Theorem	2006	Fabio Benatti Tyll Krüger Markus P. Müller Rainer Siegmund‐Schultze Arleta Szkoła
+	Kolmogorov-Loveland Stochasticity and Kolmogorov Complexity	2007	Laurent Bienvenu
+	Kolmogorov-Loveland Stochasticity and Kolmogorov Complexity	2009	Laurent Bienvenu
+ PDF Chat	Entropic Mechanics: Towards a Stochastic Description of Quantum Mechanics	2019	Vitaly Vanchurin
+ PDF Chat	Adelic Dynamics and Arithmetic Quantum Unique Ergodicity	2004	Elon Lindenstrauss
+	Quantum theory and non-kolmogorovian probability	2008	Luigi Accardi
+	The Ergodic hierarchy, randomness and chaos	2006	Roman Frigg Joseph Berkovitz Fred Kronz
+	Ergodic Theory and Dynamical Systems II	1982	A. Katok
+	Ergodic quantum Markov semigroups and decoherence	2014	Raffaella Carbone E. Sasso Veronica Umanità
+	Quantum Kolmogorov Complexity	2001	André Berthiaume Wim van Dam Sophie Laplante
+	Introduction to Quantal Statistics	1952	G. S. Rushbrooke

Works That Cite This (13)

Action	Title	Year	Authors
+ PDF Chat	From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy	2021	S. Aravinda Suhail Ahmad Rather Arul Lakshminarayan
+ PDF Chat	Distinguishability notion based on Wootters statistical distance: Application to discrete maps	2017	Ignacio S. Gomez M. Portesi Pedro W. Lamberti
+	From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy	2021	S. Aravinda Suhail Ahmad Rather Arul Lakshminarayan
+ PDF Chat	On the classical limit of quantum mechanics, fundamental graininess and chaos: Compatibility of chaos with the correspondence principle	2014	Ignacio S. Gomez Mario Castagnino
+ PDF Chat	Notions of the ergodic hierarchy for curved statistical manifolds	2017	Ignacio S. Gomez
+ PDF Chat	A Quantum Version of Spectral Decomposition Theorem of dynamical systems, quantum chaos hierarchy: Ergodic, mixing and exact	2014	Ignacio S. Gomez Mario Castagnino
+ PDF Chat	Information scrambling and the growth of errors in noisy tomography - a quantum signature of chaos	2023	Vaibhav Madhok Abinash Sahu Naga Dileep Varikuti
+ PDF Chat	Gaussian ensembles distributions from mixing quantum systems	2017	Ignacio S. Gomez M. Portesi
+ PDF Chat	Lyapunov exponents and poles in a non Hermitian dynamics	2017	Ignacio S. Gomez
+ PDF Chat	Majorization and Dynamics of Continuous Distributions	2019	Ignacio S. Gomez Bruno G. da Costa M. A. F. dos Santos

Works Cited by This (6)

Action	Title	Year	Authors
+	On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle	2010	Mario Castagnino
+ PDF Chat	Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable	1999	Rob Clifton Hans Halvorson
+ PDF Chat	Nonlocal correlations are generic in infinite-dimensional bipartite systems	2000	Rob Clifton Hans Halvorson Adrian Kent
+ PDF Chat	The equilibrium limit of the Casati–Prosen model	2006	Mario Castagnino
+ PDF Chat	The ergodic hierarchy, randomness and Hamiltonian chaos	2006	Joseph Berkovitz Roman Frigg Fred Kronz
+	Ergodic Theory	1982	I. P. Cornfeld Ya. G. Sinaĭ Sergey Fomin