Skip to main content

Spectral gaps in interacting quantum systems

Publications

A contour for the entanglement entropies in harmonic lattices

Author(s): Andrea Coser, Cristiano De Nobili, Erik Tonni
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 50/31, 2017, Page(s) 314001, ISSN 1751-8113
DOI: 10.1088/1751-8121/aa7902

Size-driven quantum phase transitions

Author(s): Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, Michael M. Wolf
Published in: Proceedings of the National Academy of Sciences, Issue 115/1, 2018, Page(s) 19-23, ISSN 0027-8424
DOI: 10.1073/pnas.1705042114

Symmetry reduction induced by anyon condensation: A tensor network approach

Author(s): José Garre-Rubio, Sofyan Iblisdir, David Pérez-García
Published in: Physical Review B, Issue 96/15, 2017, ISSN 1098-0121
DOI: 10.1103/PhysRevB.96.155123

Superadditivity of Quantum Relative Entropy for General States

Author(s): Angela Capel, Angelo Lucia, David Perez-Garcia
Published in: IEEE Transactions on Information Theory, 2018, Page(s) 1-1, ISSN 0018-9448
DOI: 10.1109/TIT.2017.2772800

Matrix product unitaries: structure, symmetries, and topological invariants

Author(s): J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Published in: Journal of Statistical Mechanics: Theory and Experiment, Issue 2017/8, 2017, Page(s) 083105, ISSN 1742-5468
DOI: 10.1088/1742-5468/aa7e55

Irreducible forms of matrix product states: Theory and applications

Author(s): Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch, David Perez-Garcia
Published in: Journal of Mathematical Physics, Issue 58/12, 2017, Page(s) 121901, ISSN 0022-2488
DOI: 10.1063/1.5000784

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

Author(s): David Elkouss, David Pérez-García
Published in: Nature Communications, Issue 9/1, 2018, ISSN 2041-1723
DOI: 10.1038/s41467-018-03428-0

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

Author(s): Ángela Capel, Angelo Lucia, David Pérez-García
Published in: Journal of Physics A: Mathematical and Theoretical, 2018, ISSN 1751-8113
DOI: 10.1088/1751-8121/aae4cf

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

Author(s): Carlos Fernández-González, Roger S. K. Mong, Olivier Landon-Cardinal, David Pérez-García, Norbert Schuch
Published in: Physical Review B, Issue 94/15, 2016, ISSN 2469-9950
DOI: 10.1103/PhysRevB.94.155106

Fundamental limitations in the purifications of tensor networks

Author(s): G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, D. Pérez-García
Published in: Journal of Mathematical Physics, Issue 57/7, 2016, Page(s) 071902, ISSN 0022-2488
DOI: 10.1063/1.4954983

Matrix product density operators: Renormalization fixed points and boundary theories

Author(s): J.I. Cirac, D. Pérez-García, N. Schuch, F. Verstraete
Published in: Annals of Physics, Issue 378, 2017, Page(s) 100-149, ISSN 0003-4916
DOI: 10.1016/j.aop.2016.12.030

Area law for fixed points of rapidly mixing dissipative quantum systems

Author(s): Fernando G. S. L. Brandão, Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia
Published in: Journal of Mathematical Physics, Issue 56/10, 2015, Page(s) 102202, ISSN 0022-2488
DOI: 10.1063/1.4932612

Undecidability of the spectral gap

Author(s): Toby S. Cubitt, David Perez-Garcia, Michael M. Wolf
Published in: Nature, Issue 528/7581, 2015, Page(s) 207-211, ISSN 0028-0836
DOI: 10.1038/nature16059

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

Author(s): Cristiano De Nobili, Andrea Coser, Erik Tonni
Published in: Journal of Statistical Mechanics: Theory and Experiment, Issue 2016/8, 2016, Page(s) 083102, ISSN 1742-5468
DOI: 10.1088/1742-5468/2016/08/083102

Conformal energy currents on the edge of a topological superconductor

Author(s): Chris N. Self, Jiannis K. Pachos, James R. Wootton, Sofyan Iblisdir
Published in: Physical Review B, Issue 95/11, 2017, ISSN 2469-9950
DOI: 10.1103/PhysRevB.95.115141

Resource Quantification for the No-Programing Theorem

Author(s): Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García
Published in: Physical Review Letters, Issue 122/8, 2019, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.122.080505

Local order parameters for symmetry fractionalization

Author(s): José Garre-Rubio, Sofyan Iblisdir
Published in: New Journal of Physics, Issue 21/11, 2019, Page(s) 113016, ISSN 1367-2630
DOI: 10.1088/1367-2630/ab4fff

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

Author(s): Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia
Published in: Communications in Mathematical Physics, Issue 366/3, 2019, Page(s) 895-926, ISSN 0010-3616
DOI: 10.1007/s00220-019-03404-9

Classification of phases for mixed states via fast dissipative evolution

Author(s): Andrea Coser, David Pérez-García
Published in: Quantum, Issue 3, 2019, Page(s) 174, ISSN 2521-327X
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

Author(s): Chris N. Self, Johannes Knolle, Sofyan Iblisdir, Jiannis K. Pachos
Published in: Physical Review B, Issue 99/4, 2019, ISSN 2469-9950
DOI: 10.1103/physrevb.99.045142

Localization with random time-periodic quantum circuits

Author(s): Christoph Sünderhauf, David Pérez-García, David A. Huse, Norbert Schuch, J. Ignacio Cirac
Published in: Physical Review B, Issue 98/13, 2018, ISSN 2469-9950
DOI: 10.1103/physrevb.98.134204

Normal projected entangled pair states generating the same state

Author(s): Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, J Ignacio Cirac
Published in: New Journal of Physics, Issue 20/11, 2018, Page(s) 113017, ISSN 1367-2630
DOI: 10.1088/1367-2630/aae9fa

An entropic invariant for 2D gapped quantum phases

Author(s): Kohtaro Kato, Pieter Naaijkens
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 53/8, 2020, Page(s) 085302, ISSN 1751-8113
DOI: 10.1088/1751-8121/ab63a5

Probing Thermalization through Spectral Analysis with Matrix Product Operators

Author(s): Yilun Yang, Sofyan Iblisdir, J. Ignacio Cirac, Mari Carmen Bañuls
Published in: Physical Review Letters, Issue 124/10, 2020, ISSN 0031-9007
DOI: 10.1103/physrevlett.124.100602

On the Stability of Charges in Infinite Quantum Spin Systems

Author(s): Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele
Published in: Communications in Mathematical Physics, Issue 373/1, 2020, Page(s) 219-264, ISSN 0010-3616
DOI: 10.1007/s00220-019-03630-1

Continuum limits of matrix product states

Author(s): Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia, J. Ignacio Cirac
Published in: Physical Review B, Issue 98/17, 2018, ISSN 2469-9950
DOI: 10.1103/physrevb.98.174303

High-Dimensional Entanglement in States with Positive Partial Transposition

Author(s): Marcus Huber, Ludovico Lami, Cécilia Lancien, Alexander Müller-Hermes
Published in: Physical Review Letters, Issue 121/20, 2018, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.121.200503

Mathematical open problems in projected entangled pair states

Author(s): Juan Ignacio Cirac, José Garre-Rubio, David Pérez-García
Published in: Revista Matemática Complutense, Issue 32/3, 2019, Page(s) 579-599, ISSN 1139-1138
DOI: 10.1007/s13163-019-00318-x

Random Private Quantum States

Author(s): Matthias Christandl, Roberto Ferrara, Cecilia Lancien
Published in: 2018 IEEE International Symposium on Information Theory (ISIT), 2018, Page(s) 1784-1788
DOI: 10.1109/ISIT.2018.8437895