PUBLICATIONS

 

[1]. Miguel Navascues, Elie Wolfe, Denis Rosset, Alejandro Pozas-Kerstjens. Genuine Network Multipartite Entanglement (pdf).

[2]. José Garre-Rubio. Symmetries in topological tensor network states: classification, construction and detection (pdf).

[3]. Kohtaro Kato, Pieter Naaijkens. An entropic invariant for 2D gapped quantum phases (pdf). J. Phys. A-Math. Theor., 53, 085302 (2020)

[4]. José Garre-Rubio, Sofyan Iblisdir. Local order parameters for symmetry fractionalization (pdf). New Journal of Physics 21, 113016 (2019)

[5]. Andreas Bluhm, Angela Capel. A strengthened data processing inequality for the Belavkin-Staszewski relative entropy (pdf)

[6]. Yilun Yang, Sofyan Iblisdir, J. Ignacio Cirac, Mari Carmen Bañuls. Probing thermalization through spectral analysis with matrix product operators (pdf). Phys. Rev. Lett. 124, 100602 (2020)

[7]. Ivan Bardet, Angela Capel, Angelo Lucia, David Pérez-García, Cambyse Rouzé. On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems (pdf).

[8]. Cécilia Lancien, David Pérez-García. Correlation length in random MPS and PEPS (pdf).

[9]. Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele. On the stability of charges in infinite quantum spin systems (pdf). Commun. Math. Phys. 373, 219-264 (2020)

[10]. Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García. Resource Quantification for the No-Programming Theorem (pdf). Phys. Rev. Lett. 122, 080505 (2019)

[11]. J. Ignacio Cirac, José Garre-Rubio, David Pérez-García. Mathematical open problems in Projected Entangled Pair States (pdf). Revista Matemáatica Complutense 32, Issue 3 (2019)

[12]. Andrea Coser, David Perez-Garcia. Classification of phases for mixed states via fast dissipative evolution (pdf). Quantum 3, 174 (2019)

[13]. Johannes Bausch, Toby Cubitt, Angelo Lucia, David Perez-Garcia. Undecidability of the Spectral Gap in One Dimension (pdf).

[14]. Chris N. Self, Johannes Knolle, Sofyan Iblisdir, Jiannis K. Pachos. Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection (pdf). Phys. Rev. B 99, 045142 (2019)

[15]. Christoph Sünderhauf, David Pérez-García, David A. Huse, Norbert Schuch, J. Ignacio Cirac. Localization with random time-periodic quantum circuits (pdf). Phys. Rev. B 98, 134204 (2018).

[16]. Angela Capel, Angelo Lucia, David Pérez-García. Quantum conditional relative entropy and quasi-factorization of the relative entropy (pdf). J. Phys. A: Math. Theor. 51 (2018) 484001.

[17]. Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, J. Ignacio Cirac. Normal projected entangled pair states generating the same state (pdf). New J. Phys. 20, 113017 (2018).

[18]. G. Scarpa, A. Molnar, Y. Ge, J. J. Garcia-Ripoll, N. Schuch, D. Perez-Garcia, S. Iblisdir. Computational complexity of PEPS zero testing (pdf).

[19]. Marcus Huber, Ludovico Lami, Cécilia Lancien, Alexander Müller-Hermes. High-Dimensional Entanglement in States with Positive Partial Transposition (pdf). Phys. Rev. Lett. 121, 200503 (2018).

[20] D. Elkouss, D. Pérez-García, Memory effects can make the transmission capability of a communication channel uncomputable (pdf). Nature Communications 9, 1149 (2018).

[21]. Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, Michael M. Wolf. Size-Driven Quantum Phase Transitions (pdf), PNAS 115, 19-23 (2018).

[22]. Ivan Bardet, Cécilia Lancien, Ion Nechita. de Finetti reductions for partially exchangeable probability distributions (pdf).

[23]. Matthias Christandl, Roberto Ferrara, Cécilia Lancien. Random private quantum states (pdf).

[24]. Cécilia Lancien, Andreas Winter. Approximating quantum channels by completely positive maps with small Kraus rank (pdf).

[25]. Angela Capel, Angelo Lucia, David Pérez-García. Superadditivity of quantum relative entropy for general states (pdf), IEEE Trans. Inf. Theory (early access).

[26]. Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia. Locality at the boundary implies gap in the bulk for 2D PEPS (pdf). Commun. Math. Phys. (2019) 366: 895

[27]. Andrea Coser, Cristiano De Nobili, Erik Tonni. A contour for the entanglement entropies in harmonic lattices (pdf). J. Phys. A: Math. Theor. 50, 314001 (2017).

[28]. José Garre-Rubio, Sofyan Iblisdir, David Pérez-García. Symmetry reduction induced by anyon condensation: a tensor network approach (pdf). Phys. Rev. B 96, 155123 (2017).

[29]. Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia, J. Ignacio Cirac. Continuum limits of Matrix Product States (pdf). Phys. Rev. B 98, 174303 (2018).

[30]. Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch, David Perez-Garcia. Irreducible forms of Matrix Product States: Theory and Applications (pdf),J. Math. Phys. 58, 121901 (2017).

[31]. J. Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete. Matrix Product Unitaries: Structure, Symmetries, and Topological Invariants (pdf). J. Stat. Mech. (2017) 083105.

[32]. Cristiano De Nobili, Andrea Coser, Erik Tonni. Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions (pdf). J. Stat. Mech. (2016) 083102.

[33]. Chris N. Self, Jiannis K. Pachos, James R. Wootton, Sofyan Iblisdir. Conformal energy currents on the edge of a topological superconductor (pdf). Phys. Rev. B 95, 115141 (2017).

[34]. J. I. Cirac, D. Perez-Garcia, N. Schuch, F. Verstraete. Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories (pdf). Annals of Physics 378, 100 (2017).

[35]. Carlos Fernandez-Gonzalez, Roger S. K. Mong, Olivier Landon-Cardinal, David Perez-Garcia, Norbert Schuch. Constructing topological models by symmetrization: A PEPS study (pdf). Phys. Rev. B 94, 155106 (2016).

[36]. G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, D. Pérez-García. Fundamental limitations in the purifications of tensor networks (pdf). J. Math. Phys. 57, 071902 (2016).

[37]. Toby Cubitt, David Perez-Garcia, Michael M. Wolf. Undecidability of the Spectral Gap (short version) (pdf). Nature 528, 207-211 (2015).

[38]. Toby Cubitt, David Perez-Garcia, Michael M. Wolf. Undecidability of the Spectral Gap (full version) (pdf).

[39]. Fernando G. S. L. Brandao, Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia. Area law for fixed points of rapidly mixing dissipative quantum systems (pdf). J. Math. Phys. 56, 102202 (2015).