Comportamientos no-clásicos de campos ondulatorios escalares en estados arbitrarios de coherencia espacial

El interés de revisar los límites entre las teorías cuántica y clásica desde la teoría clásica de onditas de coherencia espacial desarrollada por el Profesor Román Castañeda en la última década, ha motivado este trabajo de investigación la cual ha sido exhaustiva en la explicación del comportamiento ondulatorio clásico de la luz. En este trabajo abordamos una aproximación hacia el comportamiento mecano-cuántico, a raíz del hecho que la función de Wigner de la teoría de onditas de coherencia espacial puede tomar valores positivos y negativos como también ocurre con la función de Wigner cuántica./Abstract. The interest in reviewing the boundary between quantum and classical theories from the classical theory of spatial coherence wavelets developed by Professor Román Castañeda in the last decade, has motivated this research which has been thorough in explaining the classical wave behavior of light. In this paper we address an approach to the quantum mechanical behavior, due to the fact that the Wigner function of the theory of spatial coherence wavelets can take positive and negative values as also happens with the quantum Wigner functionMaestrí

Bell scenarios in which nonlocality and entanglement are inversely related

We show that for two-qubit chained Bell inequalities with an arbitrary number of measurement settings, nonlocality and entanglement are not only different properties but are inversely related. Specifically, we analytically prove that in absence of noise, robustness of nonlocality, defined as the maximum fraction of detection events that can be lost such that the remaining ones still do not admit a local model, and concurrence are inversely related for any chained Bell inequality with an arbitrary number of settings. The closer quantum states are to product states, the harder it is to reproduce quantum correlations with local models. We also show that, in presence of noise, nonlocality and entanglement are simultaneously maximized only when the noise level is equal to the maximum level tolerated by the inequality; in any other case, a more nonlocal state is always obtained by reducing the entanglement. In addition, we observed that robustness of nonlocality and concurrence are also inversely related for the Bell scenarios defined by the tight two-qubit three-setting $I_{3322}$ inequality, and the tight two-qutrit inequality $I_3$.Comment: 9 page

Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses

We report on a new class of dimension witnesses, based on quantum random access codes, which are a function of the recorded statistics and that have different bounds for all possible decompositions of a high-dimensional physical system. Thus, it certifies the dimension of the system and has the new distinct feature of identifying whether the high-dimensional system is decomposable in terms of lower dimensional subsystems. To demonstrate the practicability of this technique we used it to experimentally certify the generation of an irreducible 1024-dimensional photonic quantum state. Therefore, certifying that the state is not multipartite or encoded using non-coupled different degrees of freedom of a single photon. Our protocol should find applications in a broad class of modern quantum information experiments addressing the generation of high-dimensional quantum systems, where quantum tomography may become intractable.Comment: Journal version (except for small editorial modifications), 4+12 pages, 7 figure