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Autor Pérez García, David |
Documentos disponibles escritos por este autor (74)
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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.![]()
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Matrix product vectors form the appropriate framework to study and classify one-dimensional quantum systems. In this work, we develop the structure theory of matrix product unitary operators (MPUs) which appear e.g. in the description of time ev[...]![]()
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We introduce schemes for quantum computing based on local measurements on entangled resource states. This work elaborates on the framework established in Gross and Eisert [Phys. Rev. Lett. 98, 220503 (2007); quant-ph/0609149]. Our method makes u[...]![]()
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It is well known that jointly measurable observables cannot lead to a violation of any Bell inequality-independent of the state and the measurements chosen at the other site. In this Letter we prove the converse: every pair of incompatible quant[...]![]()
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Villanueva, Ignacio ; Bombal Gordón, Fernando ; Pérez García, David | Oxford University Press | 2004We introduce a new class of multilinear p-summing operators, which we call multiple p-summing. Using them, we can prove several multilinear generalizations of Grothendieck’s “fundamental theorem of the metric theory of tensor products”. Several [...]![]()
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In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach s[...]![]()
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In this paper, we characterize, for 1 ? p![]()
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Aron, R.M. ; García-Pacheco, F.J. ; Pérez García, David ; Seoane-Sepúlveda, Juan B. | Elsevier | 2009A subset M of a topological vector space X is said to be dense-lineable in X if there exists an infinite dimensional linear manifold in M boolean OR {0} and dense in X. We give sufficient conditions for a lineable set to be dense-lineable, and w[...]![]()
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Junge, M. ; Pérez García, David ; Palazuelos Cabezón, Carlos ; Villanueva, Ignacio ; Wolf, Michael | American Physical Society | 2009In this letter we show that the field of Operator Space Theory provides a general and powerful mathematical framework for arbitrary Bell inequalities, in particular regarding the scaling of their violation within quantum mechanics. We illustrate[...]![]()
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Haegeman, Jutho ; Pérez García, David ; Cirac, Ignacio ; Schuch, Norbert | American Physical Society | 2012-08-03We introduce an order parameter for symmetry-protected phases in one dimension which allows us to directly identify those phases. The order parameter consists of stringlike operators and swaps, but differs from conventional string order operator[...]![]()
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We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S : C(K) -> Y such that P(f) = S(f(n)). This is the C(K) version of a[...]![]()
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Schuch, Norbert ; Pérez García, David ; Cirac, Ignacio | 2010We introduce a framework for characterizing Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how PEPS appear as ground states of local Hamiltonians with finitely degenera[...]![]()
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In this paper we consider projected entangled pair states (PEPS) on arbitrary lattices. We construct local parent Hamiltonians for each PEPS and isolate a condition under which the state is the unique ground state of the Hamiltonian. This condit[...]![]()
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Tsirelson's problem deals with how to model separate measurements in quantum mechanics. In addition to its theoretical importance, the resolution of Tsirelson's problem could have great consequences for device independent quantum key distributio[...]![]()
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Schwarz, Martin ; Temme, Kristan ; Verstraete, Frank ; Pérez García, David ; Cubitt, Toby Stanley | American Physical Society | 2013-09Simulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological [...]![]()
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Scarpa, G. ; Molnár, Andras ; Gé, Y. ; García-Ripoll, J.J. ; Schuch, N. ; Pérez García, David ; Iblisdir, S. | American Physical Society | 2020-11-20Matrix product states and projected entangled pair states (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions, respectively. While matrix product states are comprehensively understo[...]![]()
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Cuevas, Gemma de las ; Schuch, Norbert ; Pérez García, David ; Cirac, J.I. | IOP Publishing | 2013-12-10We 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 of bond dimension D; and (ii) as a purification that is written a[...]![]()
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Pérez García, David | 2009Quantum Information is the science that aims to use the unusual behavior of the microscopic world, governed by the laws of Quantum Mechanics, in order to improve the way in which we compute or communicate information. Though the first ideas in t[...]![]()
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In non-relativistic quantum mechanics, measurements performed by separate observers are modeled via tensor products. In Algebraic Quantum Field Theory, though, local observables corresponding to space-like separated parties are just required to [...]![]()
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In this paper, Wielandt's inequality for classical channels is extended to quantum channels. That is, an upper bound to the number of times a channel must be applied, so that it maps any density operator to one with full rank, is found. Using th[...]![]()
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In this work, we study rank-one quantum games. In particular, we focus on the study of the computability of the entangled value ?*. We show that the value ?* can be efficiently approximated up to a multiplicative factor of 4. We also study the b[...]