140 citations · 525 across the 15 of their papers we have counts for
16 papers
Exponential lower bounds for low-degree strategies in position-based quantum cryptography
Isabel M. Moreno-Cuadrado, David Perez-Garcia, Carlos Palazuelos
Non-local quantum computation (NLQC) consists on the implementation of a bipartite unitary by two cooperating distant players by means of a two-round protocol with a singl…
Thermalization in Kitaev's quantum double models via Tensor Network techniques
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
We show that the Davies generator associated to any 2D Kitaev's quantum double model has a non-vanishing spectral gap in the thermodynamic limit. This validates rigorously the exte…
Geometry of Banach spaces: a new route towards Position Based Cryptography
Marius Junge, Aleksander M. Kubicki, Carlos Palazuelos +1
In this work we initiate the study of Position Based Quantum Cryptography (PBQC) from the perspective of geometric functional analysis and its connections with quantum games. The m…
Locality estimes for complex time evolution in 1D
David Pérez-García, Antonio Pérez-Hernández
It is a generalized belief that there are no thermal phase transitions in short range 1D quantum systems. However, the only known case for which this is rigorously proven is for th…
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
Ivan Bardet, Angela Capel, Angelo Lucia +2
The mixing time of Markovian dissipative evolutions of open quantum many-body systems can be bounded using optimal constants of certain quantum functional inequalities, such as the…
Correlation length in random MPS and PEPS
Cécilia Lancien, David Pérez-García
Tensor network states are used extensively as a mathematically convenient description of physically relevant states of many-body quantum systems. Those built on regular lattices, i…
Mathematical open problems in Projected Entangled Pair States
J. Ignacio Cirac, José Garre-Rubio, David Pérez-García
Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to pr…
Localization with random time-periodic quantum circuits
Christoph Sünderhauf, David Pérez-García, David A. Huse +2
We consider a random time evolution operator composed of a circuit of random unitaries coupling even and odd neighboring spins on a chain in turn. In spirit of Floquet evolution, t…
Symmetry reduction induced by anyon condensation: a tensor network approach
José Garre-Rubio, Sofyan Iblisdir, David Pérez-García
Topological ordered phases are related to changes in the properties of their quasi-particle excitations (anyons). We study these relations in the framework of projected entanglemen…
Rapid mixing and stability of quantum dissipative systems
Angelo Lucia, Toby S. Cubitt, Spyridon Michalakis +1
The physics of many materials is modeled by quantum many-body systems with local interactions. If the model of the system is sensitive to noise from the environment, or small pertu…
Chern-Simons theory encoded on a spin chain
David Pérez-García, Miguel Tierz
We construct a 1d spin chain Hamiltonian with generic interactions and prove that the thermal correlation functions of the model admit an explicit random matrix representation. As…
Purifications of multipartite states: limitations and constructive methods
Gemma De las Cuevas, Norbert Schuch, David Pérez-García +1
We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator…
The Heisenberg XX spin chain and low-energy QCD
David Pérez-García, Miguel Tierz
By using random matrix models we uncover a connection between the low energy sector of four dimensional QCD at finite volume and the Heisenberg XX model in a 1d spin chain. This co…
Topological and Entanglement Properties of Resonating Valence Bond wavefunctions
Didier Poilblanc, Norbert Schuch, David Pérez-García +1
We examine in details the connections between topological and entanglement properties of short-range resonating valence bond (RVB) wave functions using Projected Entangled Pair Sta…
Constrained optimization of sequentially generated entangled multiqubit states
Hamed Saberi, Andreas Weichselbaum, Lucas Lamata +3
We demonstrate how the matrix-product state formalism provides a flexible structure to solve the constrained optimization problem associated with the sequential generation of entan…
Sequentially generated states for the study of two dimensional systems
Mari-Carmen Bañuls, David Pérez-García, Michael M. Wolf +2
Matrix Product States can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system. We introduce a new family of states which exten…