From information geometry to quantum theory

Philip Goyal

Type: Article

Publication Date: 2010-02-10

Citations: 38

DOI: https://doi.org/10.1088/1367-2630/12/2/023012

View Publication

Locations

New Journal of Physics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Information-geometric reconstruction of quantum theory	2008	Philip Goyal
+	Quantum Information Dimension and Geometric Entropy	2021	Fabio Anzà James P. Crutchfield
+	Information Geometry of Quantum Resources	2018	Davide Girolami
+ PDF Chat	Information geometry for quantum systems	2007
+	A principle of information conservation for physical laws (Hidden information in quantum systems?)	2020	Nicolas G. Underwood
+ PDF Chat	From probabilities to wave functions: A derivation of the geometric formulation of quantum theory from information geometry	2014	Marcel Reginatto
+ PDF Chat	Quantum Measurements and Finite Geometry	2006	William K. Wootters
+ PDF Chat	Geometric measures of information for quantum state characterization	2019	Warner A. Miller Shahabeddin M. Aslmarand Paul M. Alsing Verinder S. Rana
+	An Information-Theoretic Approach to Quantum Theory, I: The Abstract Quantum Formalism	2007	Philip Goyal
+ PDF Chat	Geometry of quantum state space and quantum correlations	2016	Prasenjit Deb
+ PDF Chat	Geometric Approach to Quantum Statistical Inference	2020	Marcin Jarzyna Jan Kołodyński
+	From Classical to Quantum Information Geometry: A Guide for Physicists	2023	J. Lambert E. S. Sørensen
+	Geometric Measures of Information for Quantum State Characterization	2019	Warner A. Miller Shahabeddin M. Aslmarand Paul M. Alsing Verinder S. Rana
+	Geometric Measures of Information for Quantum State Characterization	2019	Warner A. Miller Shahabeddin M. Aslmarand Paul M. Alsing Verinder S. Rana
+	Quantum Information Geometry and its classical aspect	2023	Sergio B. Juárez
+	Quantum Information Theory	2000	Robert Helmut Schumann
+	Extension of information geometry for modelling non-statistical systems	2015	Ben Anthonis
+ PDF Chat	Information geometry, dynamics and discrete quantum mechanics	2013	Marcel Reginatto Michael J. W. Hall
+ PDF Chat	Information Metrics and Possible Limitations of Local Information Objectivity in Quantum Gravity	2025	Per Berglund Andrew Geraci Tristan Hübsch David Mattingly Djordje Minić
+	Analytical and geometrical properties of statistical connections in Information Geometry	1999	Paolo Gibilisco Giovanni Pistone

Works That Cite This (28)

Action	Title	Year	Authors
+ PDF Chat	A change of perspective: switching quantum reference frames via a perspective-neutral framework	2020	Augustin Vanrietvelde Philipp A. Hoehn Flaminia Giacomini Esteban Castro-Ruiz
+ PDF Chat	From Entropic Dynamics to Quantum Theory	2009	Ariel Caticha Paul M. Goggans Chun-Yong Chan
+ PDF Chat	An effect-theoretic reconstruction of quantum theory	2019	John van de Wetering
+ PDF Chat	From probabilities to wave functions: A derivation of the geometric formulation of quantum theory from information geometry	2014	Marcel Reginatto
+ PDF Chat	Quantum mechanics as a calculus for estimation under epistemic restriction	2019	Agus Budiyono
+ PDF Chat	Entropic dynamics, time and quantum theory	2011	Ariel Caticha
+ PDF Chat	Real-vector-space quantum theory with a universal quantum bit	2013	Antoniya A. Aleksandrova Victoria Borish William K. Wootters
+ PDF Chat	Gaussian distributions, Jacobi group, and Siegel-Jacobi space	2014	Mathieu Molitor
+ PDF Chat	Quantum theory from questions	2017	Philipp A. Höhn Christopher Wever
+ PDF Chat	On the relation between geometrical quantum mechanics and information geometry	2015	Mathieu Molitor

Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	Evidence for the epistemic view of quantum states: A toy theory	2007	Robert W. Spekkens
+ PDF Chat	Geometry of Quantum Statistical Inference	1996	Dorje C. Brody Lane P. Hughston
+ PDF Chat	Maximum predictive power and the superposition principle	1994	Johann Summhammer
+ PDF Chat	Relational quantum mechanics	1996	Carlo Rovelli
+ PDF Chat	Operationally Invariant Information in Quantum Measurements	1999	Časlav Brukner Anton Zeilinger
+	Characterizing quantum theory in terms of information-theoretic constraints	2003	Rob Clifton Jeffrey Bub Hans Halvorson
+ PDF Chat	ELEMENTS OF INFORMATION-THEORETIC DERIVATION OF THE FORMALISM OF QUANTUM THEORY	2003	Alexei Grinbaum
+ PDF Chat	Data analysis: a Bayesian tutorial	1997
+ PDF Chat	Statistical geometry in quantum mechanics	1998	Dorje C. Brody Lane P. Hughston
+ PDF Chat	Insufficient reason and entropy in quantum theory	2000	Ariel Caticha