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Autor Pérez García, David |
Documentos disponibles escritos por este autor (74)
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Topological ordered phases are related to changes in the properties of their quasiparticle excitations (anyons). We study these relations in the framework of projected entanglement pair states and show how condensing and confining anyons reduces[...]texto impreso
What can we say about the spectra of a collection of microscopic variables when only their coarse-grained sums are experimentally accessible? In this paper, using the tools and methodology from the study of quantum nonlocality, we develop a math[...]texto impreso
Wolf, Michael ; Pérez García, David | 2010Given a list of n complex numbers, when can it be the spectrum of a quantum channel, i.e., a completely positive trace preserving map? We provide an explicit solution for the n=4 case and show that in general the characterization of the non-zero[...]texto impreso
We prove that the only rearrangement invariant (r.i.) spaces for which there exists a crossnorm verifying that the tensor product of these spaces preserves the "natural" r.i. space structure, in the sense that it makes the multiplication operato[...]texto impreso
A study of the thermal properties of two-dimensional topological lattice models is presented. This work is relevant to assess the usefulness of these systems as a quantum memory. For our purposes, we use the topological mutual information I(topo[...]texto impreso
Poilblanc, Didier ; Schuch, Norbert ; Pérez García, David ; Cirac, J. Ignacio | American Physical Society | 2012-07-06We examine in details the connections between topological and entanglement properties of short-range resonating valence bond (RVB) wave functions using projected entangled pair states (PEPS) on kagome and square lattices on (quasi)infinite cylin[...]texto impreso
Schuch, Norbert ; Poilblanc, Didier ; Cirac, J.I. ; Pérez García, David | American Physical Society | 2013We study the structure of topological phases and their boundaries in the projected entangled-pair states (PEPS) formalism. We show how topological order in a system can be identified from the structure of the PEPS transfer operator and subsequen[...]texto impreso
Villanueva, Ignacio ; Junge, Marius ; Pérez García, David ; Wolf, Michael ; Palazuelos Cabezón, Carlos | Springer | 2008We prove that there are tripartite quantum states (constructed from random unitaries) that can lead to arbitrarily large violations of Bell inequalities for dichotomic observables. As a consequence these states can withstand an arbitrary amount [...]texto impreso
Villanueva, Ignacio ; Junge, Marius ; Pérez García, David ; Wolf, Michael ; Palazuelos Cabezón, Carlos | Springer | 2010-12In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order ?(?n?Log2n) when observables with n possible outcomes are used. A central tool in the analysis is a close[...]texto impreso
Junge, M. ; Pérez García, David ; Palazuelos Cabezón, Carlos ; Villanueva, Ignacio ; Wolf, Michael | Springer | 2010In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order $\sqrt{n}$ (up to a logarithmic factor) when observables with n possible outcomes are used. A central tool[...]texto impreso
Villanueva, Ignacio ; Pérez García, David | Matematisk Institut, Universitetsparken NY Munkegade | 2005We prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if l(2) circle times(...)circle times l(2), endowed with the norm alpha, has an unconditional basis. This extends a classica[...]texto impreso
The spectral gap-the energy difference between the ground state and first excited state of a system-is central to quantum many-body physics. Many challenging open problems, such as the Haldane conjecture, the question of the existence of gapped [...]texto impreso
Villanueva, Ignacio ; Pérez García, David ; Cabello Sánchez, Félix | Oxford University Press | 2006-10We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic.[...]texto impreso
Using a ‘reasonable’ measure in , the space of 2-homogeneous polynomials on ?1n, we show the existence of a set of positive (and independent of n) measure of polynomials which do not attain their norm at the vertices of the unit ball of ?1n. Ne[...]