Changes for page Riccardo Borsato

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1		-=== Reconstruccion de trazas en un detector de particulas. Comparacion de los metodos TimTrack Recursivo y Kalman Filter ===
	1	+=== Measures of complexity and chaos in quantum systems ===
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3		-El Kalman Filter (KF) constituye el estandar universal para el ajuste de datos en sistemas dinamicos. Frente a el, el TimTrack Recursivo (TTR) ha sido desarrollado en la USC para su uso en detectores de rayos cosmicos tipo Trasgo. En este trabajo, se propone la comparacion de ambos metodos mediante trazas simuladas, comparando sus principales prestaciones: resolución, tiempo y número de pasos para la convergencia.
	3	+Quantum systems can exhibit a wide range of dynamical behaviours, from fully integrable and exactly solvable regimes to strongly chaotic dynamics. A key challenge is to quantify the degree of chaos present in a quantum system. Recently, the notion of "Krylov complexity" (or "spread complexity") has emerged as a promising measure of this.
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	5	+The student will study the relevant literature, with particular emphasis on arXiv:2202.06957, to understand this concept and its theoretical foundations. They will learn the algorithmic procedure to evaluate Krylov complexity and apply it to specific solvable models for which analytical results are possible. If time permits, more complicated systems will be analysed with numerical and computational techniques.