2026 David Pérez-García: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	49	1140	971	15	15	126	10158

Overview

David Pérez-García is affiliated with the Complutense University of Madrid in Spain. Their research spans multiple fields, primarily focusing on physics and computer science.

The main fields of study for David Pérez-García include:

Physics and Astronomy
Computer Science

Within these domains, their work specifically addresses subfields such as:

Atomic and Molecular Physics, and Optics
Artificial Intelligence
Statistical and Nonlinear Physics
Computational Theory and Mathematics
Condensed Matter Physics

The scientist's research contributions frequently involve the following topics:

Quantum many-body systems
Quantum and electron transport phenomena
Quantum Computing Algorithms and Architecture
Quantum Information and Cryptography
Black Holes and Theoretical Physics
Theoretical and Computational Physics
Noncommutative and Quantum Gravity Theories

Recent publications by David Pérez-García include:

"Matrix product states and projected entangled pair states: Concepts, symmetries, theorems" (2021, Reviews of Modern Physics)
"Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems" (2020, arXiv (Cornell University))
"Rapid Thermalization of Spin Chain Commuting Hamiltonians" (2023, Physical Review Letters)
"Correlation Length in Random MPS and PEPS" (2021, Annales Henri Poincaré)
"Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations" (2020, Physical Review Letters)

Frequent co-authors collaborating with David Pérez-García include:

J. I. Cirac
Ángelo Lucia
Antonio Pérez
Norbert Schuch
Ángela Capel

Their publications appear regularly in key scientific venues, including:

arXiv (Cornell University)
Quantum
Communications in Mathematical Physics
Physical Review Letters
Reviews of Modern Physics

Best Publications

Matrix product state representations

D. Perez-Garcia;F. Verstraete;M. M. Wolf;J. I. Cirac

1370
Citations
Classifying quantum phases using matrix product states and projected entangled pair states

Norbert Schuch;David Pérez-García;J. Ignacio Cirac

898
Citations
Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States

Frank Verstraete;MM Wolf;D Perez-Garcia;D Perez-Garcia;JI Cirac

682
Citations
Undecidability of the spectral gap

Toby S. Cubitt;Toby S. Cubitt;David Perez-Garcia;Michael M. Wolf

367
Citations
PEPS as ground states: Degeneracy and topology

Norbert Schuch;J. Ignacio Cirac;David Pérez-García

316
Citations
String order and symmetries in quantum spin lattices

D Perez-Garcia;MM Wolf;M Sanz;Frank Verstraete

297
Citations
Measurement-based quantum computation beyond the one-way model

D. Gross;J. Eisert;Norbert Schuch;D. Perez-Garcia

272
Citations
Measurements Incompatible in Quantum Theory Cannot Be Measured Jointly in Any Other No-Signaling Theory

Michael M. Wolf;David Perez-Garcia;Carlos Fernandez

249
Citations
Quantum capacities of bosonic channels.

Michael M. Wolf;David Pérez-Garcia;Geza Giedke

214
Citations
Contractivity of positive and trace-preserving maps under Lp norms

David Pérez-García;Michael M. Wolf;Denes Petz;Mary Beth Ruskai

213
Citations
Peps as unique ground states of local hamiltonians

D. Perez-Garcia;F. Verstraete;M. M. Wolf;J. I. Cirac

192
Citations
Connes' embedding problem and Tsirelson's problem

M. Junge;M. Navascues;C. Palazuelos;D. Perez-Garcia

182
Citations
Resonating valence bond states in the PEPS formalism

Norbert Schuch;Norbert Schuch;Didier Poilblanc;J. Ignacio Cirac;David Perez-Garcia

176
Citations
Topological Order in the Projected Entangled-Pair States Formalism: Transfer Operator and Boundary Hamiltonians

Norbert Schuch;Norbert Schuch;Didier Poilblanc;J. Ignacio Cirac;David Perez-Garcia

154
Citations
Unbounded Violation of Tripartite Bell Inequalities

D. Pérez-García;Michael M. Wolf;C. Palazuelos;I. Villanueva

154
Citations
Multilinear extensions of Grothendieck’s theorem

Fernando Bombal;David Pérez-García;Ignacio Villanueva

150
Citations
Topological and entanglement properties of resonating valence bond wave functions

Didier Poilblanc;Norbert Schuch;Norbert Schuch;David Perez-Garcia;J. Ignacio Cirac

149
Citations
Contractivity of positive and trace preserving maps under $L_p$ norms

David Perez-Garcia;Michael M. Wolf;Denes Petz;Mary Beth Ruskai

138
Citations
A Quantum Version of Wielandt's Inequality

M Sanz;David Pérez-García;M M Wolf;J I Cirac

137
Citations
Algebrability of the set of non-convergent Fourier series

Richard M. Aron;David Pérez-García;Juan B. Seoane-Sepúlveda

125
Citations
Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

Ignacio Cirac;David Perez-Garcia;Norbert Schuch;Frank Verstraete

51
Citations
PEPS as unique ground states of local Hamiltonians

David Perez-Garcia;Frank Verstraete;J. Ignacio Cirac;Michael M. Wolf

22
Citations

Frequent Co-Authors

Michael M. Wolf Technical University of Munich

J. Ignacio Cirac Max Planck Society

Frank Verstraete Ghent University

J. I. Cirac Max Planck Institute of Quantum Optics

Marius Junge University of Illinois at Urbana-Champaign

Enrique Solano University of the Basque Country

Andreas Defant Carl von Ossietzky University of Oldenburg

Richard M. Aron Kent State University

Benoît Collins Kyoto University

David A. Huse Princeton University

External Links

Personal website of David Pérez-García Google Scholar page

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