Florio Maria Ciaglia
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Contact:
Email
Florio Maria Ciaglia
Research interests
"The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve”.
This is how Wigner puts it, and I completely agree with him.
Since I do like this gift very much, the only thing I can do is keep trying to understand it better. This, I think, is easier than proving to deserve it.
Of course, everyone has his preferences, so I mainly focus on the (differential) geometrical side of the gift, that is, the side that does not depend on the coordinate system we use to play with it.
Being born as a theoretical physicist, I usually start at the “Physics Playground” when I want to play with my part of the gift. Usually, the first stop would be at the “Panoramic Quantum Wheel”, which, I have to admit, is always as beautiful as the first day. Every time I am amazed to discover how much geometry lies hidden inside the algebraic envelope of quantum theories. It is always like a revelation to me.
This led me to realize that, if you look carefully, geometry is everywhere. I dare to say that geometry is more like a life-attitude than a branch of mathematics.
Personal homepage
Curriculum vitae
Born and raised in Napoli where I grew up eating pizza and wondering about abstractness.
I did my BSc, MSc, and PhD at the Università degli Studi di Napoli Federico II.
Publications
Preprints
Ciaglia, Florio M. ; Di Cosmo, Fabio ; Di Nocera, Fabio and Vitale, Patrizia:
Monotone metric tensors in quantum information geometry
Ciaglia, Florio M. ; Di Nocera, Fabio ; Jost, Jürgen and Schwachhöfer, Lorenz J.:
Parametric models and information geometry on W*-algebras
Ciaglia, Florio M. ; Jost, Jürgen and Schwachhöfer, Lorenz J.:
What Lie algebras can tell us about Jordan algebras
Bibtex MIS-Preprint: 30/2021 ARXIV: https://arxiv.org/abs/2112.09781
Publications
Ciaglia, Florio M. and Di Nocera, Fabio:
Group actions and monotone quantum metric tensors
In: Mathematics : open access journal,
10 (2022) 15, 2613
Bibtex DOI: 10.3390/math10152613 ARXIV: https://arxiv.org/abs/2206.10394Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Marmo, Giuseppe and Schiavone, Luca:
Schwinger's picture of quantum mechanics : 2-groupoids and symmetries
In: Journal of geometric mechanics,
13 (2021) 3, p. 333-354
Bibtex DOI: 10.3934/jgm.2021008 ARXIV: https://arxiv.org/abs/2104.13880Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Marmo, Giuseppe ; Schiavone, Luca and Zampini, Alessandro:
A quantum route to the classical Lagrangian formalism
In: Modern physics letters / A,
36 (2021) 15, 2150091
Bibtex DOI: 10.1142/S0217732321500917 ARXIV: https://arxiv.org/abs/2106.00998Ciaglia, Florio M. and Di Nocera, Fabio:
Group actions and monotone metric tensors : the qubit case
In: Geometric science of information : 5th international conference, GSI 2021, Paris,
France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2021. - P. 145-153
(Lecture notes in computer science ; 12829)
Bibtex MIS-Preprint: 13/2021 DOI: 10.1007/978-3-030-80209-7_17 ARXIV: https://arxiv.org/abs/2105.15067Ciaglia, Florio M. ; Mancini, Stefano and Quang, Minh Ha:
Focus point : classical and quantum information geometry
In: The European physical journal plus,
136 (2021) 5, 556
Bibtex DOI: 10.1140/epjp/s13360-021-01541-6Ciaglia, Florio M.:
Quantum states, groups and monotone metric tensors
In: The European physical journal plus,
135 (2020) 6, 530
Bibtex DOI: 10.1140/epjp/s13360-020-00537-y ARXIV: https://arxiv.org/abs/2006.10595Ciaglia, Florio M. ; Di Cosmo, Fabio ; Figueroa, Armando ; Marmo, Giuseppe and Schiavone, Luca:
Geometry from divergence functions and complex structures
In: International journal of quantum information,
18 (2020) 1, 1941020
Bibtex DOI: 10.1142/S021974991941020X ARXIV: https://arxiv.org/abs/2002.02891Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Schwinger's picture of quantum mechanics IV : Composition and independence
In: International journal of geometric methods in modern physics,
17 (2020) 4, 2050058
Bibtex DOI: 10.1142/S0219887820500589 ARXIV: https://arxiv.org/abs/2004.02472 LINK: https://www.researchgate.net/publication/339080410Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Schwinger's picture of quantum mechanics
In: International journal of geometric methods in modern physics,
17 (2020) 4, 2050054
Bibtex DOI: 10.1142/S0219887820500541 ARXIV: https://arxiv.org/abs/2002.09326Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Evolution of classical and quantum states in the groupoid picture of quantum mechanics
In: Entropy,
22 (2020) 11, 1292
Bibtex DOI: 10.3390/e22111292Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Schrödinger's problem with cats : measurements and states in the groupoid picture
of quantum mechanics
In: Entropy,
22 (2020) 11, 1292
Bibtex DOI: 10.3390/e22111292 ARXIV: https://arxiv.org/abs/2012.10284Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Marmo, Giuseppe and Schiavone, Luca:
Covariant reduction of classical Hamiltonian field theories : from D'Alembert to Klein-Gordon
and Schrödinger
In: Modern physics letters / A,
35 (2020) 23, 2050214
Bibtex DOI: 10.1142/S0217732320502144 ARXIV: https://arxiv.org/abs/2006.10512Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Marmo, Giuseppe and Schiavone, Luca:
Covariant variational evolution and Jacobi brackets : fields
In: Modern physics letters / A,
35 (2020) 23, 2050206
Bibtex DOI: 10.1142/S0217732320502065 ARXIV: https://arxiv.org/abs/2005.14429Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Marmo, Giuseppe and Schiavone, Luca:
Covariant variational evolution and Jacobi brackets : particles
In: Modern physics letters / A,
35 (2020) 23, 2020001
Bibtex DOI: 10.1142/S0217732320200011 ARXIV: https://arxiv.org/abs/2005.14429Ciaglia, Florio M. ; Di Cosmo, Fabio ; Marmo, Giuseppe ; Schiavone, Luca and Zampini, Alessandro:
Lagrangian description of Heisenberg and Landau-von Neumann equations of motion
In: Modern physics letters / A,
35 (2020), 19
Bibtex DOI: 10.1142/S0217732320501618 ARXIV: https://arxiv.org/abs/2005.01876Ciaglia, Florio M. ; Jost, Jürgen and Schwachhöfer, Lorenz J.:
From the Jordan product to Riemannian geometries on classical and quantum states
In: Entropy,
22 (2020) 6, 637
Bibtex DOI: 10.3390/e22060637 ARXIV: https://arxiv.org/abs/2005.02023Ciaglia, Florio M. ; Jost, Jürgen and Schwachhöfer, Lorenz J.:
Differential geometric aspects of parametric estimation theory for states on finite-dimensional
\(C^{\star}\)-algebras
In: Entropy,
22 (2020) 11, 1332
Bibtex MIS-Preprint: 100/2020 DOI: 10.3390/e22111332 ARXIV: https://arxiv.org/abs/2010.14394 LINK: https://www.researchgate.net/publication/344910353Chruscinski, Dariusz ; Ciaglia, Florio M. ; Ibort, Alberto ; Marmo, Giuseppe and Ventriglia, Franco:
Stratified manifold of quantum states, actions of the complex special linear group
In: Annals of physics,
400 (2019), p. 221-245
Bibtex DOI: 10.1016/j.aop.2018.11.015 ARXIV: https://arxiv.org/abs/1811.07406Ciaglia, Florio M. ; Di Cosmo, Fabio ; Figueroa, Armando ; Man'ko, Vladimir I. ; Marmo, Giuseppe ; Schiavone, Luca ; Ventriglia, Franco and Vitale, Patrizia:
Nonlinear dynamics from linear quantum evolutions
In: Annals of physics,
411 (2019), 167957
Bibtex DOI: 10.1016/j.aop.2019.167957 ARXIV: https://arxiv.org/abs/1908.03699Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Descriptions of relativistic dynamics with world line condition
In: Quantum reports,
1 (2019) 2, p. 181-192
Bibtex DOI: 10.3390/quantum1020016 ARXIV: https://arxiv.org/abs/1910.06447Ciaglia, Florio M. ; Di Cosmo, Fabio ; Marmo, Giuseppe and Schiavone, Luca:
Evolutionary equations and constraints : Maxwell equations
In: Journal of mathematical physics,
60 (2019) 11, 113503
Bibtex DOI: 10.1063/1.5109087 ARXIV: https://arxiv.org/abs/1910.09654Ciaglia, Florio M. ; Ibort, Alberto ; Jost, Jürgen and Marmo, Giuseppe:
Manifolds of classical probability distributions and quantum density operators in
infinite dimensions
In: Information geometry,
2 (2019) 2, p. 231-271
Bibtex MIS-Preprint: 45/2019 DOI: 10.1007/s41884-019-00022-1 ARXIV: https://arxiv.org/abs/1907.00732Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
Differential geometry of quantum states, observables and evolution
In: Quantum physics and geometry / Edoardo Ballico... (eds.)
Cham : Springer, 2019. - P. 153-172
(Lecture notes of the Unione Matematica Italiana ; 25)
Bibtex DOI: 10.1007/978-3-030-06122-7_7 ARXIV: https://arxiv.org/abs/1903.10465Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
Schwinger's picture of quantum mechanics I : Groupoids
In: International journal of geometric methods in modern physics,
16 (2019) 8, 1950119
Bibtex DOI: 10.1142/S0219887819501196 ARXIV: https://arxiv.org/abs/1905.12274Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
Schwinger's picture of quantum mechanics II : Algebras and observables
In: International journal of geometric methods in modern physics,
16 (2019) 9, 1950136
Bibtex DOI: 10.1142/S0219887819501366 ARXIV: https://arxiv.org/abs/1907.03883Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
On the notion of composite system
In: Geometric science of information : 4th international conference, GSI 2019, Toulouse,
France, August 27-29, 2019, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2019. - P. 647-654
(Lecture notes in computer science ; 11712)
Bibtex DOI: 10.1007/978-3-030-26980-7_67 ARXIV: https://arxiv.org/abs/1908.02976Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
Schwinger's picture of quantum mechanics III : The statistical interpretation
In: International journal of geometric methods in modern physics,
16 (2019) 11, 1950165
Bibtex DOI: 10.1142/S0219887819501652 ARXIV: https://arxiv.org/abs/1909.07265Ciaglia, Florio M. ; Marmo, Giuseppe and Pérez-Pardo, Juan M.:
Generalized potential functions in differential geometry and information geometry
In: International journal of geometric methods in modern physics,
16 (2019) supp01, 1940002
Bibtex DOI: 10.1142/S0219887819400024 ARXIV: https://arxiv.org/abs/1804.10414Ciaglia, Florio M. ; Marmo, Giuseppe and Schiavone, Luca:
From classical trajectories to quantum commutation relations
In: 60 Years Alberto Ibort Fest classical and quantum physics : geometry, dynamics and
control / Giuseppe Marmo (ed.)
Cham : Springer, 2019. - P. 163-185
(Springer proceedings in physics ; 229)
Bibtex DOI: 10.1007/978-3-030-24748-5_9 ARXIV: https://arxiv.org/abs/1908.06790Ciaglia, Florio M. ; Cruz, Hans and Marmo, Giuseppe:
Contact manifolds and dissipation, classical and quantum
In: Annals of physics,
398 (2018), p. 159-179
Bibtex DOI: 10.1016/j.aop.2018.09.012 ARXIV: https://arxiv.org/abs/1808.06822Ciaglia, Florio M. ; Di Cosmo, Fabio ; Felice, Domenico ; Mancini, Stefano ; Marmo, Giuseppe and Pérez-Pardo, Juan M.:
Aspects of geodesical motion with Fisher-Rao metric : classical and quantum
In: Open systems and information dynamics,
25 (2018) 1, 1850005
Bibtex DOI: 10.1142/S1230161218500051 ARXIV: https://arxiv.org/abs/1608.06105Ciaglia, Florio M. ; Di Cosmo, Fabio ; Laudato, Marco ; Marmo, Giuseppe ; Mele, Fabio M. ; Ventriglia, Franco and Vitale, Patrizia:
A pedagogical intrinsic approach to relative entropies as potential functions of quantum
metrics : the \(q-z\) family
In: Annals of physics,
395 (2018), p. 238-274
Bibtex DOI: 10.1016/j.aop.2018.05.015 ARXIV: https://arxiv.org/abs/1711.09769Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
A gentle introduction to Schwinger's formulation of quantum mechanics : the groupoid
picture
In: Modern physics letters / A,
33 (2018) 20, 1850122
Bibtex DOI: 10.1142/S0217732318501225 ARXIV: https://arxiv.org/abs/1807.00519Asorey, Manuel ; Ciaglia, Florio M. ; Di Cosmo, Fabio and Ibort, Alberto:
Covariant brackets for particles and fields
In: Modern physics letters / A,
32 (2017) 19, 1750100
Bibtex DOI: 10.1142/S0217732317501000 ARXIV: https://arxiv.org/abs/1705.00235Asorey, Manuel ; Ciaglia, Florio M. ; Di Cosmo, Fabio and Ibort, Alberto:
Erratum: 'Covariant brackets for particles and fields' [Mod. Phys. Lett. A. 32, 1750100
(2017)]
In: Modern physics letters / A,
32 (2017) 22, 1792002
Bibtex DOI: 10.1142/S021773231792002X ARXIV: https://arxiv.org/abs/1705.00235Asorey, Manuel ; Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Covariant Jacobi brackets for test particles
In: Modern physics letters / A,
32 (2017) 23, 1750122
Bibtex DOI: 10.1142/S021773231750122X ARXIV: https://arxiv.org/abs/1706.02865Ciaglia, Florio M. ; Di Cosmo, Fabio ; Felice, Domenico ; Mancini, Stefano ; Marmo, Giuseppe and Pérez-Pardo, Juan M.:
Hamilton-Jacobi approach to potential functions in information geometry
In: Journal of mathematical physics,
58 (2017) 6, 063506
Bibtex DOI: 10.1063/1.4984941 ARXIV: https://arxiv.org/abs/1608.06584Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Laudato, Marco and Marmo, Giuseppe:
Dynamical vector fields on the manifold of quantum states
In: Open systems and information dynamics,
24 (2017) 3, 1740003
Bibtex DOI: 10.1142/S1230161217400030 ARXIV: https://arxiv.org/abs/1707.00293Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe:
Dynamical aspects in the quantizer-dequantizer formalism
In: Annals of physics,
385 (2017), p. 769-781
Bibtex DOI: 10.1016/j.aop.2017.08.025 ARXIV: https://arxiv.org/abs/1708.02774Ciaglia, Florio M. ; Di Cosmo, Fabio ; Laudato, Marco and Marmo, Giuseppe:
Differential calculus on manifolds with boundary applications
In: International journal of geometric methods in modern physics,
14 (2017) 8, 1740003
Bibtex DOI: 10.1142/S0219887817400035 ARXIV: https://arxiv.org/abs/1705.02974Ciaglia, Florio M. ; Di Cosmo, Fabio and Marmo, Giuseppe:
Hamilton-Jacobi theory and information geometry
In: Geometric science of information : Third International Conference, GSI 2017, Paris,
France, November 7-9, 2017, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2017. - P. 495-502
(Lecture notes in computer science ; 10589)
Bibtex DOI: 10.1007/978-3-319-68445-1_58 ARXIV: https://arxiv.org/abs/1711.01129Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe:
Geometrical structures for classical and quantum probability spaces
In: International journal of quantum information,
15 (2017) 8, 1740007
Bibtex DOI: 10.1142/S021974991740007X ARXIV: https://arxiv.org/abs/1711.09774Aniello, Paolo ; Ciaglia, Florio M. ; Di Cosmo, Fabio ; Marmo, Giuseppe and Pérez-Pardo, Juan M.:
Time, classical and quantum
In: Annals of physics,
373 (2016), p. 532-543
Bibtex DOI: 10.1016/j.aop.2016.08.001 ARXIV: https://arxiv.org/abs/1605.03534