Spectral gaps in interacting quantum systems

Informazioni relative al progetto

GAPS

ID dell’accordo di sovvenzione: 648913

DOI 10.3030/648913

Progetto chiuso

Data della firma CE 23 Marzo 2015

Data di avvio 1 Settembre 2015

Data di completamento 28 Febbraio 2022

Finanziato da

• EXCELLENT SCIENCE - European Research Council (ERC)

Costo totale € 1 462 750,00

Contributo UE € 1 462 750,00

Coordinato da

UNIVERSIDAD COMPLUTENSE DE MADRID
Spain

Pubblicazioni

Peer reviewed articles (50)

Observers of quantum systems cannot agree to disagree

Autori: Patricia Contreras-Tejada, Giannicola Scarpa, Aleksander M. Kubicki, Adam Brandenburger, Pierfrancesco La Mura
Pubblicato in: Nature Communications, Numero 12, 2021, Pagina/e 7021, ISSN 2041-1723
Editore: Nature Publishing Group
DOI: 10.1038/s41467-021-27134-6

Efficient training of energy-based models via spin-glass control

Autori: Alejandro Pozas-Kerstjens, Gorka Muñoz-Gil, Eloy Piñol, Miguel Ángel García-March, Antonio Acín, Maciej Lewenstein, Przemysław R Grzybowski
Pubblicato in: Machine Learning: Science and Technology, Numero 2/2, 2021, Pagina/e 025026, ISSN 2632-2153
Editore: IOP Publishing
DOI: 10.1088/2632-2153/abe807

Quantum Inflation: A General Approach to Quantum Causal Compatibility

Autori: Elie Wolfe, Alejandro Pozas-Kerstjens, Matan Grinberg, Denis Rosset, Antonio Acín, Miguel Navascués
Pubblicato in: Physical Review X, Numero 11/2, 2021, ISSN 2160-3308
Editore: American Physical Society
DOI: 10.1103/physrevx.11.021043

Correlation Length in Random MPS and PEPS

Autori: Cécilia Lancien, David Pérez-García
Pubblicato in: Annales Henri Poincaré, 2021, ISSN 1424-0637
Editore: Birkhauser Verlag
DOI: 10.1007/s00023-021-01087-4

Random Private Quantum States

Autori: Matthias Christandl, Roberto Ferrara, Cecilia Lancien
Pubblicato in: IEEE Transactions on Information Theory, Numero 66/7, 2020, Pagina/e 4621-4640, ISSN 0018-9448
Editore: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2020.2973155

String order parameters for symmetry fractionalization in an enriched toric code

Autori: José Garre-Rubio, Mohsin Iqbal, David T. Stephen
Pubblicato in: Physical Review B, Numero 103/12, 2021, ISSN 2469-9950
Editore: American Physical Society
DOI: 10.1103/physrevb.103.125104

Full Network Nonlocality

Autori: Alejandro Pozas-Kerstjens, Nicolas Gisin, Armin Tavakoli
Pubblicato in: Physical Review Letters, Numero 128, 2022, Pagina/e 010403, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/physrevlett.128.010403

Undecidability of the Spectral Gap in One Dimension

Autori: Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia
Pubblicato in: Physical Review X, Numero 10/3, 2020, ISSN 2160-3308
Editore: American Physical Society
DOI: 10.1103/physrevx.10.031038

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

Autori: J. Ignacio Cirac, David Pérez-García, Norbert Schuch, Frank Verstraete
Pubblicato in: Reviews of Modern Physics, Numero 93, 2021, Pagina/e 045003, ISSN 0034-6861
Editore: American Physical Society
DOI: 10.1103/revmodphys.93.045003

Subsystem symmetry enriched topological order in three dimensions

Autori: David T. Stephen, José Garre-Rubio, Arpit Dua, Dominic J. Williamson
Pubblicato in: Physical Review Research, Numero 2/3, 2020, ISSN 2643-1564
Editore: American Physical Society
DOI: 10.1103/physrevresearch.2.033331

Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations

Autori: G. Scarpa, A. Molnár, Y. Ge, J. J. García-Ripoll, N. Schuch, D. Pérez-García, S. Iblisdir
Pubblicato in: Physical Review Letters, Numero 125/21, 2020, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/physrevlett.125.210504

Inaccessible entanglement in symmetry protected topological phases

Autori: Caroline de Groot, David T Stephen, Andras Molnar, Norbert Schuch
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 53/33, 2020, Pagina/e 335302, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab98c7

On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

Autori: Ivan Bardet, Ángela Capel, Angelo Lucia, David Pérez-García, Cambyse Rouzé
Pubblicato in: Journal of Mathematical Physics, Numero 62/6, 2021, Pagina/e 061901, ISSN 0022-2488
Editore: American Institute of Physics
DOI: 10.1063/1.5142186

Single-photon nonlocality in quantum networks

Autori: Paolo Abiuso, Tamás Kriváchy, Emanuel-Cristian Boghiu, Marc-Olivier Renou, Alejandro Pozas-Kerstjens, Antonio Acín
Pubblicato in: Physical Review Research, Numero 4, 2022, Pagina/e L012041, ISSN 2643-1564
Editore: American Physical Society
DOI: 10.1103/physrevresearch.4.l012041

Defence against adversarial attacks using classical and quantum-enhanced Boltzmann machines †

Autori: Aidan Kehoe, Peter Wittek, Yanbo Xue, Alejandro Pozas-Kerstjens
Pubblicato in: Machine Learning: Science and Technology, Numero 2/4, 2021, Pagina/e 045006, ISSN 2632-2153
Editore: IOP Publishing
DOI: 10.1088/2632-2153/abf834

Bell nonlocality in networks

Autori: Armin Tavakoli, Alejandro Pozas-Kerstjens, Ming-Xing Luo, Marc-Olivier Renou
Pubblicato in: Reports on Progress in Physics, 2022, ISSN 0034-4885
Editore: Institute of Physics Publishing
DOI: 10.1088/1361-6633/ac41bb

Geometry of Banach spaces: a new route towards Position Based Cryptography

Autori: Marius Junge, Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García
Pubblicato in: Communications in Mathematical Physics, Numero provisionally accepted, 2021, ISSN 0010-3616
Editore: Springer Verlag

Superadditivity of Quantum Relative Entropy for General States

Autori: Angela Capel, Angelo Lucia, David Perez-Garcia
Pubblicato in: IEEE Transactions on Information Theory, Numero 64/7, 2018, Pagina/e 4758-4765, ISSN 0018-9448
Editore: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2017.2772800

A contour for the entanglement entropies in harmonic lattices

Autori: Andrea Coser, Cristiano De Nobili, Erik Tonni
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 50/31, 2017, Pagina/e 314001, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa7902

Size-driven quantum phase transitions

Autori: Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, Michael M. Wolf
Pubblicato in: Proceedings of the National Academy of Sciences, Numero 115/1, 2018, Pagina/e 19-23, ISSN 0027-8424
Editore: National Academy of Sciences
DOI: 10.1073/pnas.1705042114

Symmetry reduction induced by anyon condensation: A tensor network approach

Autori: José Garre-Rubio, Sofyan Iblisdir, David Pérez-García
Pubblicato in: Physical Review B, Numero 96/15, 2017, ISSN 1098-0121
Editore: American Physical Society
DOI: 10.1103/PhysRevB.96.155123

Matrix product unitaries: structure, symmetries, and topological invariants

Autori: J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Pubblicato in: Journal of Statistical Mechanics: Theory and Experiment, Numero 2017/8, 2017, Pagina/e 083105, ISSN 1742-5468
Editore: Institute of Physics
DOI: 10.1088/1742-5468/aa7e55

Irreducible forms of matrix product states: Theory and applications

Autori: Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch, David Perez-Garcia
Pubblicato in: Journal of Mathematical Physics, Numero 58/12, 2017, Pagina/e 121901, ISSN 0022-2488
Editore: American Institute of Physics
DOI: 10.1063/1.5000784

Memory effects can make the transmission capability of a communication channel uncomputable

Autori: David Elkouss, David Pérez-García
Pubblicato in: Nature Communications, Numero 9/1, 2018, ISSN 2041-1723
Editore: Nature Publishing Group
DOI: 10.1038/s41467-018-03428-0

Quantum conditional relative entropy and quasi-factorization of the relative entropy

Autori: Ángela Capel, Angelo Lucia, David Pérez-García
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, 2018, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aae4cf

Constructing topological models by symmetrization: A projected entangled pair states study

Autori: Carlos Fernández-González, Roger S. K. Mong, Olivier Landon-Cardinal, David Pérez-García, Norbert Schuch
Pubblicato in: Physical Review B, Numero 94/15, 2016, ISSN 2469-9950
Editore: American Physical Society
DOI: 10.1103/PhysRevB.94.155106

Fundamental limitations in the purifications of tensor networks

Autori: G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, D. Pérez-García
Pubblicato in: Journal of Mathematical Physics, Numero 57/7, 2016, Pagina/e 071902, ISSN 0022-2488
Editore: American Institute of Physics
DOI: 10.1063/1.4954983

Matrix product density operators: Renormalization fixed points and boundary theories

Autori: J.I. Cirac, D. Pérez-García, N. Schuch, F. Verstraete
Pubblicato in: Annals of Physics, Numero 378, 2017, Pagina/e 100-149, ISSN 0003-4916
Editore: Academic Press
DOI: 10.1016/j.aop.2016.12.030

Area law for fixed points of rapidly mixing dissipative quantum systems

Autori: Fernando G. S. L. Brandão, Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia
Pubblicato in: Journal of Mathematical Physics, Numero 56/10, 2015, Pagina/e 102202, ISSN 0022-2488
Editore: American Institute of Physics
DOI: 10.1063/1.4932612

Undecidability of the spectral gap

Autori: Toby S. Cubitt, David Perez-Garcia, Michael M. Wolf
Pubblicato in: Nature, Numero 528/7581, 2015, Pagina/e 207-211, ISSN 0028-0836
Editore: Nature Publishing Group
DOI: 10.1038/nature16059

Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions

Autori: Cristiano De Nobili, Andrea Coser, Erik Tonni
Pubblicato in: Journal of Statistical Mechanics: Theory and Experiment, Numero 2016/8, 2016, Pagina/e 083102, ISSN 1742-5468
Editore: Institute of Physics
DOI: 10.1088/1742-5468/2016/08/083102

Conformal energy currents on the edge of a topological superconductor

Autori: Chris N. Self, Jiannis K. Pachos, James R. Wootton, Sofyan Iblisdir
Pubblicato in: Physical Review B, Numero 95/11, 2017, ISSN 2469-9950
Editore: American Physical Society
DOI: 10.1103/PhysRevB.95.115141

Resource Quantification for the No-Programing Theorem

Autori: Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García
Pubblicato in: Physical Review Letters, Numero 122/8, 2019, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/PhysRevLett.122.080505

Local order parameters for symmetry fractionalization

Autori: José Garre-Rubio, Sofyan Iblisdir
Pubblicato in: New Journal of Physics, Numero 21/11, 2019, Pagina/e 113016, ISSN 1367-2630
Editore: Institute of Physics Publishing
DOI: 10.1088/1367-2630/ab4fff

Locality at the Boundary Implies Gap in the Bulk for 2D PEPS

Autori: Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia
Pubblicato in: Communications in Mathematical Physics, Numero 366/3, 2019, Pagina/e 895-926, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-019-03404-9

Classification of phases for mixed states via fast dissipative evolution

Autori: Andrea Coser, David Pérez-García
Pubblicato in: Quantum, Numero 3, 2019, Pagina/e 174, ISSN 2521-327X
Editore: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2019-08-12-174

Thermally induced metallic phase in a gapped quantum spin liquid: Monte Carlo study of the Kitaev model with parity projection

Autori: Chris N. Self, Johannes Knolle, Sofyan Iblisdir, Jiannis K. Pachos
Pubblicato in: Physical Review B, Numero 99/4, 2019, ISSN 2469-9950
Editore: American Physical Society
DOI: 10.1103/physrevb.99.045142

Localization with random time-periodic quantum circuits

Autori: Christoph Sünderhauf, David Pérez-García, David A. Huse, Norbert Schuch, J. Ignacio Cirac
Pubblicato in: Physical Review B, Numero 98/13, 2018, ISSN 2469-9950
Editore: American Physical Society
DOI: 10.1103/physrevb.98.134204

Normal projected entangled pair states generating the same state

Autori: Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, J Ignacio Cirac
Pubblicato in: New Journal of Physics, Numero 20/11, 2018, Pagina/e 113017, ISSN 1367-2630
Editore: Institute of Physics Publishing
DOI: 10.1088/1367-2630/aae9fa

An entropic invariant for 2D gapped quantum phases

Autori: Kohtaro Kato, Pieter Naaijkens
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 53/8, 2020, Pagina/e 085302, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab63a5

Probing Thermalization through Spectral Analysis with Matrix Product Operators

Autori: Yilun Yang, Sofyan Iblisdir, J. Ignacio Cirac, Mari Carmen Bañuls
Pubblicato in: Physical Review Letters, Numero 124/10, 2020, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/physrevlett.124.100602

On the Stability of Charges in Infinite Quantum Spin Systems

Autori: Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele
Pubblicato in: Communications in Mathematical Physics, Numero 373/1, 2020, Pagina/e 219-264, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-019-03630-1

Continuum limits of matrix product states

Autori: Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia, J. Ignacio Cirac
Pubblicato in: Physical Review B, Numero 98/17, 2018, ISSN 2469-9950
Editore: American Physical Society
DOI: 10.1103/physrevb.98.174303

High-Dimensional Entanglement in States with Positive Partial Transposition

Autori: Marcus Huber, Ludovico Lami, Cécilia Lancien, Alexander Müller-Hermes
Pubblicato in: Physical Review Letters, Numero 121/20, 2018, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/PhysRevLett.121.200503

Mathematical open problems in projected entangled pair states

Autori: Juan Ignacio Cirac, José Garre-Rubio, David Pérez-García
Pubblicato in: Revista Matemática Complutense, Numero 32/3, 2019, Pagina/e 579-599, ISSN 1139-1138
Editore: Universidad Complutense de Madrid
DOI: 10.1007/s13163-019-00318-x

Undecidability of the spectral gap

Autori: Toby Cubitt, David Perez-Garcia, Michael M. Wolf
Pubblicato in: Forum of Mathematics, Pi, Numero accepted, 2022, ISSN 2050-5086
Editore: Cambridge University Press

Approximate Tensorization of the Relative Entropy for Noncommuting Conditional Expectations

Autori: Ivan Bardet, Ángela Capel, Cambyse Rouzé
Pubblicato in: Annales Henri Poincaré, 2021, ISSN 1424-0637
Editore: Birkhauser Verlag
DOI: 10.1007/s00023-021-01088-3

Locality of temperature and correlations in the presence of non-zero-temperature phase transitions

Autori: Senaida Hernández Santana, Andras Molnar, Christian Gogolin, J. Ignacio Cirac, Antonio Acín
Pubblicato in: New Journal of Physics, Numero 23, 2021, Pagina/e 073052, ISSN 1367-2630
Editore: Institute of Physics Publishing
DOI: 10.1088/1367-2630/ac14a9

Genuine Network Multipartite Entanglement

Autori: Miguel Navascués, Elie Wolfe, Denis Rosset, Alejandro Pozas-Kerstjens
Pubblicato in: Physical Review Letters, Numero 125/24, 2020, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/physrevlett.125.240505

Efficient Description of Many-Body Systems with Matrix Product Density Operators

Autori: Jiří Guth Jarkovský, András Molnár, Norbert Schuch, J. Ignacio Cirac
Pubblicato in: PRX Quantum, Numero 1/1, 2020, ISSN 2691-3399
Editore: American Physical Society
DOI: 10.1103/prxquantum.1.010304

Other (8)

Proofs of network quantum nonlocality aided by machine learning

Autori: Alejandro Pozas-Kerstjens, Nicolas Gisin, Marc-Olivier Renou
Pubblicato in: 2022
Editore: arXiv preprint

Entropy decay for Davies semigroups of a one dimensional quantum lattice

Autori: Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé
Pubblicato in: 2021
Editore: arXiv preprint

Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states

Autori: Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio, Norbert Schuch, J. Ignacio Cirac, David Pérez-García
Pubblicato in: 2022
Editore: arXiv preprint

Locality estimates for complex time evolution in 1D

Autori: David Pérez-García, Antonio Pérez-Hernández
Pubblicato in: 2020
Editore: arXiv preprint

Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States

Autori: Alberto Ruiz de Alarcón, José Garre-Rubio, András Molnár, David Pérez-García
Pubblicato in: 2022
Editore: arXiv preprint

Rapid thermalization of spin chain commuting Hamiltonians

Autori: Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé
Pubblicato in: 2021
Editore: arXiv preprint

Physics solutions for machine learning privacy leaks

Autori: Alejandro Pozas-Kerstjens, Senaida Hernández-Santana, José Ramón Pareja Monturiol, Marco Castrillón López, Giannicola Scarpa, Carlos E. González-Guillén, David Pérez-García
Pubblicato in: 2022
Editore: Arxiv preprint

Thermalization in Kitaev's quantum double models via Tensor Network techniques

Autori: Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
Pubblicato in: 2021
Editore: arXiv preprint