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Autor Pérez García, David |
Documentos disponibles escritos por este autor (74)
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We prove that every countably additive polymeasure can be decomposed in a unique way as the sum of a "discrete" polymeasure plus a "continuous" polymeasure. This generalizes a previous result of Saeki.texto impreso
Masanes, Lluís ; Müller, M.P. ; Pérez García, David ; Augusiak, Remigiusz | American Institute of Physics | 2014-12We consider a very natural generalization of quantum theory by letting the dimension of the Bloch ball be not necessarily three. We analyze bipartite state spaces where each of the components has a d-dimensional Euclidean ball as state space. In[...]texto impreso
Cadarso, Andrea ; Sanz, Mikel ; Wolf, Michael M. ; Cirac, J.I. ; Pérez García, David | American Physical Society | 2013-01Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the[...]texto impreso
Masanes, Lluís ; Muller, Markus P. ; Augusiak, Remigiusz ; Pérez García, David | National Academy of Sciences | 2013-10Does information play a significant role in the foundations of physics? Information is the abstraction that allows us to refer to the states of systems when we choose to ignore the systems themselves. This is only possible in very particular fra[...]texto impreso
Fernández González, C. ; Schuch, N. ; Wolf, M.M. ; Cirac, J.I. ; Pérez García, David | Springer | 2015-01For every Matrix Product State (MPS) one can always construct a so-called parent Hamiltonian. This is a local, frustration free, Hamiltonian which has the MPS as ground state and is gapped. Whenever that parent Hamiltonian has a degenerate groun[...]texto impreso
De las Cuevas, G. ; Cubitt, J.L. ; Wolf, M.M. ; Pérez García, David | American Institute of Physics Inc. | 2016We show a fundamental limitation in the description of quantum many-body mixed states with tensor networks in purification form. Namely, we show that there exist mixed states which can be represented as a translationally invariant (TI) matrix pr[...]texto impreso
Fernández González, Carlos ; Schuch, Norbert ; Wolf, Michael M. ; Cirac, J.I. ; Pérez García, David | American Physical Society | 2012-12We study Hamiltonians which have Kitaev's toric code as a ground state, and show how to construct a Hamiltonian which shares the ground space of the toric code, but which has gapless excitations with a continuous spectrum in the thermodynamic li[...]texto impreso
Jarchow , Hans ; Palazuelos Cabezón, Carlos ; Pérez García, David ; Villanueva, Ignacio | Academic Press | 2007-12-15The aim of this paper is to investigate close relations between the validity of Hahn–Banach extension theorems for multilinear forms on Banach spaces and summability properties of sequences from these spaces. A case of particular importance occu[...]texto impreso
Pérez García, David | Universidad Nacional de Colombia - Sede Bogotá - Facultad de Artes - Instituto de Investigaciones Hábitat, Ciudad & Territorio | 2017-12-01La epistemología del diseño ha sido objeto de numerosos debates. En este trabajo se expondrá la posibilidad de entender que el diseño tiene una especificidad que no se puede confundir con otro aspecto de las actividades humanas como la ciencia, [...]texto impreso
Cooney, Tom ; Junge, Marius ; Navascués Cobo, Miguel ; Pérez García, David ; Villanueva, Ignacio | Springer | 2013Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as distant measurements of a bipartite quantum s[...]texto impreso
Junemann, J. ; Cadarso, A. ; Pérez García, David ; Bermúdez, A. ; García Ripoll, Juan José | American Physical Society | 2013-12-06We derive a Lieb-Robinson bound for the propagation of spin correlations in a model of spins interacting through a bosonic lattice field, which satisfies a Lieb-Robinson bound in the absence of spin-boson couplings. We apply these bounds to a sy[...]texto impreso
Castillo, J.M.F. ; García, R. ; Defant, A. ; Pérez García, David ; Suárez, J. | Cambridge Phylosophical Society | 2012-01We study different aspects of the connections between local theory of Banach spaces and the problem of the extension of bilinear forms from subspaces of Banach spaces. Among other results, we prove that if X is not a Hilbert space then one may f[...]texto impreso
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 connection allows us to relate crucial properties of QCD with phys[...]texto impreso
We consider the tensors generating matrix product states and density operators in a spin chain. For pure states, we revise the renormalization procedure introduced in (Verstraete et al., 2005) and characterize the tensors corresponding to the fi[...]texto impreso
Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.