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6 papers · 1 filter
Applications of the Characteristic Theory to the Madelung-de Broglie-Bohm System of Partial Differential Equations: The Guiding Equation as the Characteristic Velocity
Javier Gonzalez, Xavier Gimenez, Josep Maria Bofill
First, we use the theory of characteristics of first order partial differential equations to derive the guiding equation directly from the Quantum Evolution Equation (QEE). After o…
Two Slightly-Entangled NP-Complete Problems
Roman Orus
We perform a mathematical analysis of the classical computational complexity of two genuine quantum-mechanical problems, which are inspired in the calculation of the expected magne…
Bell's inequalities detect efficient entanglement
Antonio Acin, Nicolas Gisin, Lluis Masanes +1
We review the status of Bell's inequalities in quantum information, stressing mainly the links with quantum key distribution and distillation of entanglement. We also prove that fo…
Activation-like processes at zero temperature
Daniel Arteaga, Esteban Calzetta, Albert Roura +1
We examine the possibility that a metastable quantum state could experiment a phenomenon similar to thermal activation but at zero temperature. In order to do that we study the rea…
Tight Bell inequality for d-outcome measurements correlations
Lluis Masanes
In this paper we prove that the inequality introduced by Collins, Gisin, Linden, Massar and Popescu is tight, or in other words, it is a facet of the convex polytope generated by a…
Natural majorization of the Quantum Fourier Transformation in phase-estimation algorithms
Roman Orus, Jose I. Latorre, Miguel A. Martin-Delgado
We prove that majorization relations hold step by step in the Quantum Fourier Transformation (QFT) for phase-estimation algorithms considered in the canonical decomposition. Our re…