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Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associated to a variety of simple systems.
1904
Earlier work this paper cites.
D. Ge and G. Policastro, “Circuit Complexity and 2D Bosonisation,” JHEP
1904
Earlier work this paper cites.
1908
Earlier work this paper cites.
1909
Earlier work this paper cites.
1910
Earlier work this paper cites.
1912
Earlier work this paper cites.
R. A. Fisher, “Theory of statistical estimation,” Mathematical Proceedings of the Cambridge Philosophical Society
1925
Earlier work this paper cites.
B. Efron, “Defining the curvature of a statistical problem (with applications to second order efficiency),” Ann. Stats
1975
Earlier work this paper cites.
A. M. Polyakov, “Quantum Geometry of Fermionic Strings,” Phys. Lett
1981
Earlier work this paper cites.
S.-I. Amari, O. E. Barndorff-Nielsen, R. E. Kass, S. L. Lauritzen, and C. R. Rao, “Differential geometry in statistical inference,” Lecture Notes-Monograph Series
1987
Earlier work this paper cites.
Cambridge University Press, 1989
C. Itzykson and J.-M. Drouffe, Statistical Field Theory , vol. 1 of Cambridge Monographs on Mathematical Physics · 1989
Earlier work this paper cites.
Springer, 1990
Hitchin, Nigel J, “The geometry and topology of moduli spaces,” in Global Geometry and Mathematical Physics · 1990
Earlier work this paper cites.
S.-i. Amari, K. Kurata, and H. Nagaoka, “Information Geometry of Boltzmann Machines,” IEEE Trans. Neural Net
1992
Earlier work this paper cites.
G. Ruppeiner, “Riemannian geometry in thermodynamic fluctuation theory,” Rev. Mod. Phys
1996
Earlier work this paper cites.
Springer US, Boston, MA, 1997
S.-i. Amari, Information Geometry of Neural Networks – An Overview – · 1997
Earlier work this paper cites.
N. Dorey, V. V. Khoze, M. P. Mattis, and S. Vandoren, “Yang-Mills instantons in the large N limit and the AdS / CFT correspondence,” Phys. Lett
1998
Earlier work this paper cites.
B. P. Dolan, “Renormalization group flow and geodesics in the O(N) model for large N,” Nucl. Phys
1998
Earlier work this paper cites.
S. Parvizi, “Noncommutative instantons and the information metric,” Mod. Phys. Lett
2002
Earlier work this paper cites.
B. P. Dolan, D. A. Johnston, and R. Kenna, “The Information geometry of the one-dimensional Potts model,” J. Phys
2002
Earlier work this paper cites.
W. Janke, D. A. Johnston, and R. Kenna, “The Information geometry of the spherical model,” Phys. Rev
2003
Earlier work this paper cites.
2003
Earlier work this paper cites.
R. Britto, B. Feng, O. Lunin, and S.-J. Rey, “U(N) instantons on N = 1/2 superspace: Exact solution & geometry of moduli space,” Phys. Rev
2004
Cited alongside, same era.
S. Yahikozawa, “The Information metric on instanton moduli spaces in nonlinear sigma models,” Phys. Rev
2004
Cited alongside, same era.
W. Janke, D. A. Johnston, and R. Kenna, “Information geometry and phase transitions,” Physica
2004
Cited alongside, same era.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Cited alongside, same era.
S.-J. Rey and Y. Hikida, “Black hole as emergent holographic geometry of weakly interacting hot Yang-Mills gas,” JHEP
2006
Cited alongside, same era.
D. Harlow, “The Ryu–Takayanagi Formula from Quantum Error Correction,” Commun. Math. Phys
2017
Later among the works it cites.
2017
Later among the works it cites.
R. Jefferson and R. C. Myers, “Circuit complexity in quantum field theory,” JHEP
2017
Later among the works it cites.
2017
Later among the works it cites.
D. Harlow, “TASI Lectures on the Emergence of Bulk Physics in AdS/CFT,” PoS
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2007
Cited alongside, same era.
P. Zanardi, L. Campos Venuti, and P. Giorda, “Bures metric over thermal state manifolds and quantum criticality,” Physical Review A
2007
Cited alongside, same era.
D. C. Brody and D. W. Hook, “Information geometry in vapour–liquid equilibrium,” Journal of Physics A: Mathematical and Theoretical
2008
Cited alongside, same era.
U. Miyamoto and S. Yahikozawa, “Information metric from a linear sigma model,” Phys. Rev
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
A. Almheiri, X. Dong, and D. Harlow, “Bulk Locality and Quantum Error Correction in AdS/CFT,” JHEP
2015
Cited alongside, same era.
2018
Later among the works it cites.
2018
Later among the works it cites.
R. Jefferson, “Information geometry (part 1/3).” https://irreverentmind.wordpress.com/2018/08/12/information-geometry-part-1-2/ , 2018
2018
Later among the works it cites.
F. Nielsen, “An elementary introduction to information geometry,” arXiv e-prints
2018
Later among the works it cites.
R. Jefferson, “Information geometry (part 2/3).” https://irreverentmind.wordpress.com/2018/08/13/information-geometry-part-2-3/ , 2018
2018
Later among the works it cites.
2018
Later among the works it cites.
L. Hackl and R. C. Myers, “Circuit complexity for free fermions,” JHEP
2018
Later among the works it cites.
M. Guo, J. Hernandez, R. C. Myers, and S.-M. Ruan, “Circuit Complexity for Coherent States,” JHEP
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
B. Mera, “Information geometry in the analysis of phase transitions,” Acta Physica Polonica A
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
P. Caputa and J. M. Magan, “Quantum Computation as Gravity,” Phys. Rev. Lett
2019
Later among the works it cites.
M. Flory and N. Miekley, “Complexity change under conformal transformations in AdS 3
2019
Later among the works it cites.