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Autor Pérez García, David |
Documentos disponibles escritos por este autor (74)
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]texto impreso
In this paper, we characterize, for 1 ? ptexto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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 [...]texto impreso
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[...]