Seminario a cargo de Simon Morelli (Basque Centre for Applied Mathematics).
Resumen: 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.
El 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.
- Fecha: Viernes, 5 de abril de 2024
- Lugar: Laboratorio de Fïsica Computacional, Dept de Electromagnetismo y Física de al Materia, Planta Baja, Facultad de Ciencias (junto al péndulo gigante)
- Horario: 11:00 h
- Organiza: Grupo de Termodinámica y Computación Cuántica
- Más información: https://ic1.ugr.es/eventos/wp/qjc/