Juan Manuel Pérez Pardo Personal Web Page

Publications

A. Balmaseda, D. Lonigro, J.M. Pérez-Pardo. On global approximate controllability of a quantum particle in a box by moving walls.
SIAM Journal on Control and Optimization 62 2, 826-852. (2024)
doi: 10.1137/22M1518980

J.M. Pérez-Pardo. On Uhlmann's proof of the Monotonicity of the Relative Entropy.
In Particles, Fields and Topology. World Scientific. (2023)
doi: 10.1142/13251

A. Balmaseda, D. Lonigro, J.M. Pérez-Pardo. Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions.
J. Phys. A: Math. Theor 56 32, 325201. (2023)
doi: 10.1088/1751-8121/ace505

A. Balmaseda, D. Lonigro, J.M. Pérez-Pardo. On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain.
Mathematics 2022 10, 218. (2022)
doi: 10.3390/math10020218

A. Ibort, J.G. Llavona, F. Lledó, J.M. Pérez-Pardo. Representation of non-semibounded quadratic forms and orthogonal additivity.
J. Math. Anal. Appl 495 2, 124783. (2021)
doi: 10.1016/j.jmaa.2020.124783

A. Balmaseda, F. di Cosmo, J.M. Pérez-Pardo. On Z-Invariant Self-Adjoint Extensions of the Laplacian on Quantum Circuits.
Symmetry 11 8, 1047. (2019)
doi: 10.3390/sym11081047

A. Balmaseda, J.M. Pérez-Pardo. Quantum Control at the Boundary.
Classical and Quantum Physics. Springer Proceedings in Physics 229. (2019)
doi: 10.1007/978-3-030-24748-5

F.M. Ciaglia, G. Marmo, J.M. Pérez-Pardo. Generalised Potential Functions in Differential Geometry and Information Geometry.
Int. J. Geom. Methods Mod. Phys 16 Supp. 1, 1940002. (2019)
doi: 10.1142/S0219887819400024

F.M. Ciaglia, F. Di Cosmo, D. Felice, S. Mancini, G. Marmo, J.M. Pérez-Pardo. Aspects of Geodesical motion with Fisher-Rao metric: classical and quantum.
Open Systems & Information Dynamics 25 1. (2018)
doi: 10.1142/S1230161218500051

F. Di Cosmo, G. Marmo, J.M. Pérez-Pardo, A. Zampini. A Hodge - De Rham Dirac operator on the quantum SU(2).
Int. J. Geom. Methods Mod. Phys 15 02, 1850030. (2018)
doi: 10.1142/S0219887818500305

A. López-Yela, J.M. Pérez-Pardo. Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary.
J. Comp. Phys 347 C, 235-260. (2017)
doi: 10.1016/j.jcp.2017.06.043

F.M. Ciaglia, F. Di Cosmo, D. Felice, S. Mancini, G. Marmo, J.M. Pérez-Pardo. Hamilton-Jacobi approach to Potential Functions in Information Geometry.
J. Math. Phys. 58, 063506. (2017)
doi: 10.1063/1.4984941

J.M. Pérez-Pardo. Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries.
Int. J. Geom. Methods Mod. Phys 14 8. (2017)
doi: 10.1142/S0219887817400047

S. Pascazio, F.V. Pepe, J.M. Pérez-Pardo. Huygens' principle and Dirac-Weyl equation.
Eur. Phys. J. Plus 132 287. (2017)
doi: 10.1140/epjp/i2017-11593-6

P. Aniello, F.M. Ciaglia, F. Di Cosmo, G. Marmo, J.M. Pérez-Pardo. Time, classical and quantum.
Ann. Phys 373, 532-543. (2016)
doi: 10.1016/j.aop.2016.08.001

M. Asorey, A.P. Balachandran, J.M. Pérez-Pardo. Edge States at Phase Boundaries and Their Stability.
Rev. Math. Phys. 28 09, 1650020. (2016)
doi: 10.1142/S0129055X16500203

J.M. Pérez-Pardo, M. Barbero-Liñán, A. Ibort. Boundary dynamics and topology change in quantum mechanics.
Int. J. Geom. Methods in Modern Phys. 12, 1560011. (2015)
doi: 10.1142/S0219887815600117

A. Ibort, J.M. Pérez-Pardo. On the theory of self-adjoint extensions of symmetric operators and its applications to Quantum Physics.
Int. J. Geom. Methods Mod. Phys 12, 1560005. (2015)
doi: 10.1142/S0219887815600051

A. Ibort, F. Lledó, J.M. Pérez-Pardo. Self-Adjoint Extensions of the Laplace-Beltrami Operator and unitaries at the boundary.
J. Funct. Anal 268, 634-670. (2015)
doi: 10.1016/j.jfa.2014.10.013

A. Ibort, F. Lledó, J.M. Pérez-Pardo. On self-adjoint extensions and symmetries in Quantum Mechanics.
Ann. Henri Poincaré 16 10, 2367-2397. (2015)
doi: 10.1007/s00023-014-0379-4

A. Ibort, G. Marmo, J.M. Pérez-Pardo. Boundary Dynamics Driven Entanglement.
J. Phy. A: Math. Theor 47, 385301. Highlighted in Europhysics News 45/5.. (2014)
doi: 10.1088/1751-8113/47/38/385301

M. Asorey, A.P. Balachandran, J.M. Pérez-Pardo. Edge States: Topological Insulators, Superconductors and QCD Chiral Bags.
J. High Energ. Phys 2013 12, 073. (2013)
doi: 10.1007/JHEP12(2013)073

J.M. Pérez-Pardo. Quadratic Forms, Unbounded Self-Adjoint Operators and Quantum Observables.
Nuovo Cimento C 36 3, 205-214. (2013)
doi: 10.1393/ncc/i2013-11533-3

A. Ibort, J.M. Pérez-Pardo. Numerical Solutions of the Spectral Problem for Arbitrary Self-Adjoint Extensions of the One-Dimensional Schrödinger Equation.
SIAM J. Numer. Anal 51 2, 1254-1279. (2013)
doi: 10.1137/110856800

A. Ibort, J.M. Pérez-Pardo. Quantum Control and Representation Theory.
J. Phys. A: Math. Theor 42, 205301. (2009)
doi: 10.1088/1751-8113/42/20/205301

A. Balmaseda, D. Lonigro, J.M. Pérez-Pardo. Global approximate controllability of quantum systems by form perturbations and applications.
(2024)
arXiv: 2402.02955

A. Balmaseda, D. Lonigro, J.M. Pérez-Pardo. On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control.
(2023)
arXiv: 2306.10203

Conference Addresses and other contributions

Journées QUACO 2023. Invited Speaker. Title: On the stability of the Schrödinger equation and applications to Quantum Control.
Laboratoire Jacques-Louis Lions, Sorbonne Université (Paris 6), France. June 2023. Web Page

VI International Workshop on Information Geometry, Quantum Mechanics and Applications 2023. Invited Speaker. Title: On the stability of the Schrödinger equation and applications to Quantum Control.
Policeta - San Rufo, Salerno, Italy. June 2023. Web Page Media

Mathematical aspects of the Physics with non-self-Adjoint Operators. Invited Speaker. Title: Controllability on Infinite Dimensional Quantum Systems.
Banff International Research Station, Canada. July 2022. Web Page

Quantum Theory and Applications 2022. Invited Speaker. Title: Dirac Operator on the Moebius Strip.
Policeta, Italy. June 2022. Web Page

Sesión Especial Geometry, Mechanics and Control; Congreso Bienal de la Real Sociedad Matemática Española 2022. Invited Speaker. Title: Controllability of infinite dimensional quantum systems based on Quantum Graphs.
Ciudad Real, Spain. January 2022.

52 Symposium on Mathematical Physics: `Channels, Maps and All That'. Invited Speaker. Title: Controllability of infinite dimensional quantum systems based on Quantum Graphs.
Nicolaus Copernicus University, Toruń, Poland (Online). June 2021. Web Page Video

Mathematical Aspects of Physics with Non-Self-Adjoint Operators: 10 Years After. Contributed Talk. Title: Quantum controllability of infinite dimensional quantum systems based on Quantum Graphs.
Centre International de Rencontres Mathématiques, Marseille, France. February 2021. Web Page Video

IV International Workshop on Information Geometry, Quantum Mechanics and Applications 2020. Invited Speaker. Title: On Uhlmann's proof of the monotonicity of the relative entropy for CPTP maps.
Universidad Carlos III de Madrid (Leganés), Spain. February 2020. Web Page

III International Workshop on Information Geometry, Quantum Mechanics and Applications. Invited Speaker. Title: On Uhlmann's definition of relative entropy.
Grajera (Segovia), Spain. June 2019. Web Page

Noncommutative Geometry: Physical and Mathematical Aspects of Quantum Space-Time and Matter. Invited Speaker. Title: Quantum control and approximate controllability of infinite dimensional quantum systems.
S.N. Bose National Centre for Basic Sciences, Kolkata, India. November 2018. Web Page Video

XXVII International Fall Workshop on Geometry and Physics. Invited Speaker. Title: Quantum Control on the boundary.
IMUS, Universidad de Sevilla, Spain. September 2018. Web Page

Classical and Quantum Physics: Geometry, Dynamics and Control. Invited Speaker. Title: Quantum Control at the boundary.
ICMAT, Madrid, Spain. March 2018. Web Page

Function Theory on Infinite Dimensional Spaces XV. Plenary Speaker. Title: Representation of unbounded quadratic forms and orthogonal additivity.
Universidad Complutense de Madrid, Spain. February 2018. Web Page

Quantum Physics: Fields, Particles and Information Geometry. Invited Speaker. Title: Edge States on Quantum Systems.
Dublin Institute for Advanced Studies, Ireland. January 2018. Web Page

XXVI International Fall Workshop on Geometry and Physics. Contributed Talk. Title: Hamilton-Jacobi approach to contrast functions and geodetical motion in information geometry.
University of Minho, Braga, Portugal. September 2017. Web Page

V International Workshop on Foundations of Quantum Mechanics and Applications. Plenary speaker. Title: An Introduction to Information Geometry.
ICMAT, Madrid, Spain. February 2017. Web Page

XXV International Fall Workshop on Geometry and Physics. Contributed Talk. Title: Quantum Mechanics and Information Geometry.
Consejo Superior de Investigaciones Científicas, Madrid, Spain. September 2016. Web Page

International Workshop on Quantum Physics: Foundations and Applications. Plenary speaker. Title: Laplacians and Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries.
Center for High Energy Physics, Indian Institute of Science, Bangalore, India. February 2016. Web Page

Workshop on Mathematical Structure and Foundations of Quantum Physics. Plenary speaker. Title: Boundary conditions and topology change in Quantum Mechanics.
Universidad de los Andes, Bogotá, Colombia. June 2015. Web Page

International Workshop on Quantum Physics: Foundations and Applications. Plenary speaker. Title: Self-adjoint extensions on the Hilbert space of differential forms.
National Institute for Theoretical Physics, Wallenberg Research Centre, Stellenbosch, South Africa. February 2015.

Seminario Gruppo IV. Invited Speaker. Title: Boundary dynamics and topology change in Quantum Mechanics.
INFN, Sezione di Napoli. October 2014.

XXIII Fall Workshop on Geometry and Physics. Plenary speaker. Title: Boundary dynamics and topology change in Quantum Mechanics.
Universidad de Granada. September 2014. Web Page

First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI. Special session in Operator Algebras and applications to Quantum Physics. Invited speaker. Title: Quantum symmetries, self-adjoint extensions and reduction theory.
Universidad del Pais Vasco, Bilbao. July 2014. Web Page

International Workshop on Mathematical Structures in Quantum Physics and Applications. Plenary speaker. Title: Quadratic Forms and Self-adjoint extensions. Kato's Theorem and Friedrichs' extensions.
Center for High Energy Physics, Indian Institute of Science, Bangalore, India. February 2014. Web Page

Conference on Mathematical Structures in Quantum Systems and Applications. Invited speaker. Title: Quadratic Forms, unbounded Self--Adjoint Operators and Self--Adjoint Extensions of the Laplace--Beltrami Operator.
Centro de Ciencias de Benasque ``Pedro Pascual'', Spain. July 2012. Web Page

Seminario Intergrupos del Departamento de Matemáticas, sesión junior. Contributed Talk. Title: Quadratic Forms and self--adjoint extensions of the Laplace--Beltrami Operator.
Universidad Carlos III de Madrid. 2011.

Kolloquium des Graduiertenkollegs. Contributed Talk. Title: Quadratic Forms and general self--adjoint extensions of the Laplace--Beltrami Operator.
Georg-August-Universitaet Goettingen, Germany. July 2011.

QUITEMAD Workshop. Contributed Talk. Title: Quadratic Forms and general self--adjoint extensions of the Laplace--Beltrami Operator.
Centro Universitario María Cristina, El Escorial, Spain. December 2010.

Group of Applied Mathematical Analysis. Invited speaker. Title: Quadratic Forms and general self--adjoint extensions of the Laplace--Beltrami Operator.
Universidad Carlos III de Madrid, Spain. December 2010.

Workshop of Young Researchers in Mathematics 2010. Invited speaker. Title: Quadratic Forms and general self--adjoint extensions of the Laplace--Beltrami Operator.
Universidad Complutense de Madrid, Spain. September 2010. Web Page

Jornada MTM2010. Contributed Talk. Title: Quadratic Forms and general self--adjoint extensions of the Laplace--Beltrami Operator.
ICMAT. May 2010.

XII Encuentro de Invierno de Geometría, Mecánica y Teoría de Control. Contributed Talk. Title: Self--Adjoint extensions of Schroedinger Operators and Numerics.
Universidad de Zaragoza, Spain. January 2010.

Seminario de Información y Computación Cuántica. Contributed Talk. Title: Control Cuántico y Teoría de Representaciones.
Universidad Complutense de Madrid. October 2009.

Participation in Research Projects

PID2020-117477GB-I00, Agencia Estatal de Investigación (AEI). Grupoides, Álgebras de von Neumann y los Fundamentos Matematicos De La Mecánica Cuántica: Teoría y Aplicaciones. PR: Luis Alberto Ibort Latre. Budget: EUR 65.824,00.
01/09/2021 - 31/08/2025.

Cofinanciación Seminarios Severo Ochoa. Seminario Q-Math. PR: J.M. Pérez-Pardo. Budget: EUR 2400,00.
01/09/2022 - 30/06/2023.

CAM. Consejería de Educación e Investigación. Classical and Quantum Information Theory and Functional Analysis: Foundations and applications. PR: Florio M. Ciaglia. Budget: EUR 46.667,00.
01/11/2021 - 31/12/2022.

S2018/TCS-4342, CAM Consejería de Educación e Investigación. Quantum Information Technologies Madrid, QUITEMAD. PR: Alberto Ibort. Budget: EUR 99.317,45.
01/01/2019 - 31/12/2022.

Cofinanciación Seminarios Severo Ochoa. Seminario Q-Math. PR: J.M. Pérez-Pardo. Budget: EUR 2400,00.
01/01/2019 - 31/12/2019.

MTM2017-84098-P, Ministerio de Economía y Empresa. Fundamentos Matemáticos de las tecnologías de la Información Cuánticas: Convexidad, Muestreo y Algebras de Operadores. PR: Luis Alberto Ibort Latre. Budget: EUR 58.564,00.
01/01/2018 - 30/09/2021.

MTM2014-54692, Ministerio de Economía y Competitividad. Mathematics and Quantum Information Theory: From operator Algebras to Quantum Sampling. PR: Luis Alberto Ibort Latre. Budget: EUR 80.223,00..
01/01/2015 - 31/12/2017.

S2013/ICE-2801, Comunidad Autónoma de Madrid. Quantum Information Technologies in Madrid +, QUITEMAD+. PR: Miguel Angel Martín-Delgado. Budget: EUR 850.000,00..
01/01/2014 - 31/12/2018.

MTM2010-21186-C02-02, Ministerio de Ciencia e Innovación. Estructuras globales y métodos numéricos, sistemas dinámicos y control: Aplicaciones cuánticas. PR: Luis Alberto Ibort Latre. Budget: EUR 61.226,00..
01/01/2011 - 31/12/2014.

S2009/ESP-1594, Consejería de Educación, Comunidad de Madrid. Tecnologías de información cuánticas: criptografía, computación y simulación QUITEMAD. PR: Miguel Angel Martín-Delgado. Budget: EUR 1.050.000,00.
01/01/2010- 31/05/2014.

Workshops VI - 2012, Universidad Carlos III de Madrid. International Workshop on Mathematical Properties of Quantum Systems and Applications. PR: Luis Alberto Ibort Latre. Budget: EUR 375,00.
01/01/2012 - 31/12/2012.

International Research Experience

Czech Technical University in Prague. Prague, Czech Republic. Host: D. Krejcirik.
2 weeks (2021).

Università degli Studi di Napoli Federico II. Naples, Italy. Host: G. Marmo.
1 week (2017).

Istituto Nazionale di Fisica Nucleare (Sezione di Napoli). Naples, Italy. Host: G. Marmo.
24 months (2014).

University of California, Berkeley. Berkeley, USA. Host: A. Weinstein.
2 months (2012).

Università degli Studi di Napoli Federico II. Naples, Italy. Host: G. Marmo.
2 weeks (2012).

Georg-August-Universitaet Goettingen. Goettingen, Germany. Hosts: D. Bahns and K.H. Rehren.
3 months (2011).