El grupo de Termodinámica y Computación Cuántica les invita al siguiente seminario

Fecha: Viernes 5/4/2024

Hora: 11:00 am

Lugar:  Laboratorio de Fïsica Computacional, Dept de Electromagnetismo y Física de al Materia, Planta Baja, Facultad de Ciencias (junto al péndulo gigante)

Ponente: Simon Morelli (Basque Centre for Applied Mathematics)
Titulo: Correlation constraints and the Bloch geometry of two qubits
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.

https://meet.google.com/pfu-awyh-hmz

También os recordamos a todos la página web del Seminario de Grupos,

https://ic1.ugr.es/eventos/wp/qjc/

donde se publicarán anuncios pasados, presentes y futuros. 

Nos vemos a todos allí

DJM

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Dear all

The Quantum Thermodynamics and Computation group cordially invites you to the following seminar

Date: Friday 5/4/2024
Time: 11:00 am

Location:  Computational Physics Laboratory, Department of Electromagnetism and Condensed Mater,  Ground Floor, Faculty of Science (next to the giant pendulum)

Speaker: Simon Morelli (Basque Centre for Applied Mathematics)
Title: Correlation constraints and the Bloch geometry of two qubits
Abstract: 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.

The seminar is accessible to undergraduate students, whom we strongly encourage to attend. For those of you unable to attend the seminar, we have set-up the following  google meet link for the upcoming seminar.

https://meet.google.com/pfu-awyh-hmz

We would also like to bring to your attention the groups seminar page 
 
https://ic1.ugr.es/eventos/wp/qjc/
 
where you can find relevant material and information about past, present, and future seminars. 

See you all there

DJM.
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Dr. Michalis Skotiniotis
Grupo de Termodinámica y Información Cuántica.
Departamento de Electromagnetismo y Física de la Materia.
Instituto Carlos I de Física Teórica y Computacional.
Facultad de Ciencias, Av. Fuentenueva s/n
Universidad de Granada
Granada, 18071
Spain

Email: mskotiniotis@onsager.ugr.es
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