Hola tod@s. Este Viernes tenemos la segunda parte de nuestra serie sobre Inferencía estatística: la parte concerniente el uso de phenomenas cuànticas. Como la última vez el seminario será impartido por Michalis Skotiniotis (titulo y resumen a continuación) a las 12:00 en el Laboratorio de Física Computacional situada en el departamento de Electromagnetismo y Física Materia (planta baja circa de péndulo gigante). La charla será accesible para todos, por lo que se recomienda encarecidamente a los estudiantes de pregrado que se unan. La información, así como un enlace a las notas cubiertas en ambas conferencias, se pueden encontrar aquí https://ic1.ugr.es/eventos/wp/qjc/. Nos vemos a todos allí DJM —————————————————————————————————————————————————————————————————————————————— Dear all This Friday we have the second part of our series on Statistical Inference: the part concerning the use of quantum phenomena. As last time, the seminar will be given by Michalis Skotiniotis (title and summary below) at 12:00 in the Computational Physics Laboratory located in the Electromagnetism and Matter Physics department (ground floor around giant pendulum). The talk will be accessible to everyone, so undergraduate students are strongly encouraged to join. The information, as well as a link to the notes covered in both conferences, can be found here https://ic1.ugr.es/eventos/wp/qjc/. See you all there DJM. —————————————————————————————————————————————————————————————————————————————— Title: Quantum Statistical Inference—Hypothesis Testing and Parameter Estimation Speaker: Michalis Skotiniotis Abstract: In this second lecture we will revisit the Hypothesis testing and parameter estimation scenarios discussed in the previous lecture, except we shall be invoking quantum theory. In the case of quantum Hypothesis testing I shall review Holevo's optimality theorem which establishes the conditions for achieving the maximum probability of success in a hypothesis testing scenario involving quantum states and measurements. We shall also cast these conditions in terms of semi-definite programs and apply them to obtain the optimal measurement (aka the Helstrom measurement) for the case of binary hypothesis testing. We will then consider quantum parameter estimation, review the quantum version of the Cramér-Rao bound and the Quantum Fisher Information (QFI). These concepts will be applied to the simple case of interferometry where we will encounter the Standard and Heisenberg limits in estimation precision.