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SUMMARY:Seminario "Correlation constraints and the Bloch geometry of two qubits"
DESCRIPTION:Seminario a cargo de Simon Morelli (Basque Centre for Applied Mathematics). \nResumen: The quantum marginal problem investigates the compatibility of the eigenvalues of the local and global states of a multipartite quantum system. It is a fundamental problem in quantum information for which the solution is only known for simple cases. We investigate a simpler question of the same flavour: Given the purities of the local states of a multipartite system\, what is the maximum purity the global state can achieve? We derive a new inequality that holds for bipartite systems of arbitrary dimensions and gives a complete solution for two qubits. Together with previous findings\, this result gives rise to a new representation of the quantum state space – the Bloch ball – of two qubits. We show that this 3-dimensional visualization has various interesting properties regarding geometry and argue why it indeed captures many relevant properties of the full\, high-dimensional\, state space. Finally we extend this solution to three-qubit states\, where we derive tight inequalities on the two- and three-body correlations compatible with a pure state. \nEl seminario es accesible para los estudiantes de grado\, a los que recomendamos encarecidamente que asistan. Para aquellos que no puedan asistir\, también hemos configurado una reunión de Google donde el seminario se transmitirá en vivo. \n\n\nFecha: Viernes\, 5 de abril de 2024\nLugar: Laboratorio de Fïsica Computacional\, Dept de Electromagnetismo y Física de al Materia\, Planta Baja\, Facultad de Ciencias (junto al péndulo gigante)\nHorario: 11:00 h\nOrganiza: Grupo de Termodinámica y Computación Cuántica\nMás información: https://ic1.ugr.es/eventos/wp/qjc/
URL:https://canalugr.si2.dev/evento/seminario-correlation-constraints-and-the-bloch-geometry-of-two-qubits/
LOCATION:Facultad de Ciencias\, Campus Universitario de Fuentenueva\, Granada\, Granada\, 18071\, España
CATEGORIES:Ciencias,Conferencias, seminarios, divulgación científica
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