Cartan geometry, Lie and representation theory, Integrable Systems, quantum Groups and quantum computing towards the understanding of the geometry of deep Learning and its Applications

Project Information

CaLIGOLA

Grant agreement ID: 101086123

DOI

10.3030/101086123

EC signature date 3 November 2022

Start date 1 January 2023

End date 31 December 2026

Funded under

• Marie Skłodowska-Curie Actions (MSCA)

Total cost

No data

EU contribution

€ 874 000,00

Coordinated by

ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA
Italy

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Documents, reports (8)

D2.1 classification of integrable systems

Preprint on the classification of Integrable systems

D3.3 quantum symmetric spaces

Volume of Proceedings of a quantum symmetric spaces conferences

D2.2 SUSY gauge fields theories

Preprint on SUSY gauge field theories

D1.1, D1.2: BGG and subriemannian geometry

Preprint on BGG operatorsPreprint on subriemannian geometry

D4.1 Quantum information theory

Preprint: Quantum Geometric Tensor, Quantum Information theory

D4.2 Topological Quantum Computation

Preprint: Topological Quantum Computation and Yetter-Drinfel'd modules

D3.1, D3.2 Spectral triples for quantum flag manifolds.

Preprint on Spectral triples for quantum flag manifolds.Preprint on Quantum flag manifolds

D5.2,D5.3 Geometric deep learning

Preprint on Geneos.Preprint: Geometric Deep Learning and quantum differential calculus.

Data Management Plan (1)

D6.4 Data management plan

Data management plan

Websites, patent fillings, videos etc. (2)

D6.3 Public engagement

National and local public engagement events coordination

D6.1, D6.2 Dissemination plan

Website creation and newsletter deliveryCoordination of dissemination activities

Publications

Peer reviewed articles (4)

A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism

Author(s): R. Fioresi; A. Marraffa; J. Petkovic
Published in: Diff. Geom. and Applications, 2024
Publisher: Elsevier
DOI: 10.48550/ARXIV.2304.00084

Black Hole Perturbation Theory Meets CFT$_2$: Kerr Compton Amplitudes from Nekrasov-Shatashvili Functions

Author(s): Bautista, Yilber Fabian; Bonelli, Giulio; Iossa, Cristoforo; Tanzini, Alessandro; Zhou, Zihan
Published in: Phys. Rev. D, Issue 109, 2024
Publisher: APS
DOI: 10.48550/ARXIV.2312.05965

Reducing the number of qubits by a half in one dimensional quantum simulations of Ising chains

Author(s): Mehrabankar, Somayeh; Garca-March, Miguel ngel; Almudver, Carmen G.; Prez, Armando
Published in: New Journal of Physics, 2024
Publisher: New Journal of Physics, Volume 26, August 2024
DOI: 10.48550/arxiv.2308.01545

Effect of noisy environment on secure quantum teleportation of unimodal Gaussian states

Author(s): Mehrabankar, S.; Mahmoudi, P. (Payman); Abbasnezhad, F.; Afshar, D.; Isar, A.
Published in: Quantum Information Processing, 2024
Publisher: Springer Nature
DOI: 10.1007/s11128-024-04545-0

Other (2)

Levi-Civita connection on the irreducible quantum flag manifolds

Author(s): J. Bhowmick, B. Ghosh, A. Krutov, R. Buachalla
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arXiv.2411.03102

CONFORMALLY COMPACT AND HIGHER CONFORMAL YANG–MILLS EQUATIONS

Author(s): A. Rod Gover, Emanuele Latini, Andrew Waldron, Yongbing Zhang
Published in: 2024