El grupo de Termodinámica y Computación Cuántica les invita al siguiente seminario Fecha: Viernes 21 Junio 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: Rhea Alexander-Turner (Universidad de GRanada)) Titulo: Trade-off relations for magic state distillation protocols based on stabilizer codes Resumen: Magic state distillation is a key subroutine in many leading schemes for achieving a fault tolerant quantum computer. However, despite significant recent progress, the overhead of state-of-the-art protocols for magic distillation is still eyewatering. This poses the natural question: can we do better, even in principle? In this talk I’ll introduce the basics of majorization theory - an abstract mathematical toolset with a wide range of applications spanning economics [*] and quantum theory alike. I’ll discuss some recent work where we apply the machinery of majorization to quasiprobability representations of magic states to obtain entropic constraints on the achievable overhead of magic distillation. These constraints give rise to fundamental trade-off relations on the code parameters appearing in practical distillation protocols. From a more foundational perspective, in this picture the processing of magic states under stabilizer circuits (a universal model for quantum computing) can be viewed as akin to classical statistical mechanics with the appearance of negative entropies. In this context, we find that negative entropy is equivalent to Wigner negativity, and thus constitutes a necessary ingredient for quantum computational speed-up. [*] https://en.wikipedia.org/wiki/Gini_coefficient 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/csb-snng-bmu 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 ________________________________________________________________________________ Dear all The Quantum Thermodynamics and Computation group cordially invites you to the following seminar Date: Friday 21 June 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: Rhea Alexander-Turner Title: Trade-off relations for magic state distillation protocols based on stabilizer codes Abstract: Magic state distillation is a key subroutine in many leading schemes for achieving a fault tolerant quantum computer. However, despite significant recent progress, the overhead of state-of-the-art protocols for magic distillation is still eyewatering. This poses the natural question: can we do better, even in principle? In this talk I’ll introduce the basics of majorization theory - an abstract mathematical toolset with a wide range of applications spanning economics [*] and quantum theory alike. I’ll discuss some recent work where we apply the machinery of majorization to quasiprobability representations of magic states to obtain entropic constraints on the achievable overhead of magic distillation. These constraints give rise to fundamental trade-off relations on the code parameters appearing in practical distillation protocols. From a more foundational perspective, in this picture the processing of magic states under stabilizer circuits (a universal model for quantum computing) can be viewed as akin to classical statistical mechanics with the appearance of negative entropies. In this context, we find that negative entropy is equivalent to Wigner negativity, and thus constitutes a necessary ingredient for quantum computational speed-up. [*] https://en.wikipedia.org/wiki/Gini_coefficient The seminar is (is not) 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/csb-snng-bmu 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. --------------------------------------------------------- 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 ---------------------------------------------------------