Embedding quantum simulators

79 p.

A quantitative witness for Greenberger-Horne-Zeilinger entanglement

Along with the vast progress in experimental quantum technologies there is an increasing demand for the quantification of entanglement between three or more quantum systems. Theory still does not provide adequate tools for this purpose. The objective is, besides the quest for exact results, to develop operational methods that allow for efficient entanglement quantification. Here we put forward an analytical approach that serves both these goals. We provide a simple procedure to quantify Greenberger-Horne-Zeilinger-type multipartite entanglement in arbitrary three-qubit states. For two qubits this method is equivalent to Wootters' seminal result for the concurrence. It establishes a close link between entanglement quantification and entanglement detection by witnesses, and can be generalised both to higher dimensions and to more than three parties.

Propuesta de un modelo de competitividad portuaria: aplicación para Bilbao y las líneas marítimas de contenedores

[ES] Este trabajo de investigación pretende proponer un modelo de cuantificación de la competitividad portuaria que puede alcanzar un puerto comercial para un tráfico de contenedores. Derivado de este objetivo, podría conseguirse una Estrategia a la medida para un puerto concreto orientada a la búsqueda de mercados, fundamentalmente. Para este último aspecto, esta investigación se centra en el Puerto de Bilbao y los servicios directos de línea regular en contenedor en las rutas intercontinentales que conectan Europa con América y el Caribe. La finalidad principal es la elaboración de un modelo teórico tratado dentro del área de la ciencia de la Economía de la Empresa como antecedente inmediato y básico de la Dirección Estratégica. Se consideran varios factores en el proceso de selección de un puerto que pueden contribuir a las preferencias de elección, tanto los relativos a las características del mismo, como a su hinterland para los grupos de usuarios. También se analizarán los estudios sobre modelos y métodos de competitividad portuaria considerados por la literatura especializada en los últimos años. La metodología a utilizar será una combinación de distintos métodos, para la consecución de cada uno de los objetivos. La investigación se apoya en el análisis de Importance–Performance (IPa) que consiste en evaluar tanto la satisfacción del cliente y la calidad del servicio. El análisis IPa tiene preponderancia para la obtención de un índice de competitividad de un puerto de contenedores. Dicho índice podría ser calculado mediante el uso de postulados y reglas de la matemática, en concreto de la Teoría de la Decisión/ Investigación de Operaciones.

Spin-related phenomena in magnetic and spin-orbit couppled bose-einstein condensates

129 p.

Density-potential mapping in the standard and quantum electrodynamical time-dependent density functional theory

131 p.

Is General Relativity a simplified theory?

IARD 8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields - Galileo Galilei Inst Theoret Phys (GGI), Florence, ITALY - MAY 29-JUN 01, 2012. Edited by:Horowitz, LP

From transistor to trapped-ion computers for quantum chemistry

Over the last few decades, quantum chemistry has progressed through the development of computational methods based on modern digital computers. However, these methods can hardly fulfill the exponentially-growing resource requirements when applied to large quantum systems. As pointed out by Feynman, this restriction is intrinsic to all computational models based on classical physics. Recently, the rapid advancement of trapped-ion technologies has opened new possibilities for quantum control and quantum simulations. Here, we present an efficient toolkit that exploits both the internal and motional degrees of freedom of trapped ions for solving problems in quantum chemistry, including molecular electronic structure, molecular dynamics, and vibronic coupling. We focus on applications that go beyond the capacity of classical computers, but may be realizable on state-of-the-art trapped-ion systems. These results allow us to envision a new paradigm of quantum chemistry that shifts from the current transistor to a near-future trapped-ion-based technology.

The Forbidden Quantum Adder

Quantum information provides fundamentally different computational resources than classical information. We prove that there is no unitary protocol able to add unknown quantum states belonging to different Hilbert spaces. This is an inherent restriction of quantum physics that is related to the impossibility of copying an arbitrary quantum state, i.e., the no-cloning theorem. Moreover, we demonstrate that a quantum adder, in absence of an ancillary system, is also forbidden for a known orthonormal basis. This allows us to propose an approximate quantum adder that could be implemented in the lab. Finally, we discuss the distinct character of the forbidden quantum adder for quantum states and the allowed quantum adder for density matrices.

Elements of Decision under Uncertainty with Applications

This work presents the basic elements for the analysis of decision under uncertainty: Expected Utility Theory and its citicisms and risk aversion and its measurement. The concepts of certainty equivalent, risk premium, absolute risk aversion and relative risk aversion, and the "more risk averse than" relation are discussed. The work is completed with several applications of decision making under uncertainty to different economic problems: investment in risky assets and portfolio selection, risk sharing, investment to reduce risk, insurance, taxes and income underreporting, deposit insurance and the value of information.

Quantum Emulation of Gravitational Waves

Gravitational waves, as predicted by Einstein's general relativity theory, appear as ripples in the fabric of spacetime traveling at the speed of light. We prove that the propagation of small amplitude gravitational waves in a curved spacetime is equivalent to the propagation of a subspace of electromagnetic states. We use this result to propose the use of entangled photons to emulate the evolution of gravitational waves in curved spacetimes by means of experimental electromagnetic setups featuring metamaterials.

Distribution theory and fundamental solutions of differential operators

The objective of this dissertation is to study the theory of distributions and some of its applications. Certain concepts which we would include in the theory of distributions nowadays have been widely used in several fields of mathematics and physics. It was Dirac who first introduced the delta function as we know it, in an attempt to keep a convenient notation in his works in quantum mechanics. Their work contributed to open a new path in mathematics, as new objects, similar to functions but not of their same nature, were being used systematically. Distributions are believed to have been first formally introduced by the Soviet mathematician Sergei Sobolev and by Laurent Schwartz. The aim of this project is to show how distribution theory can be used to obtain what we call fundamental solutions of partial differential equations.