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Quantum Mechanics from Condensed Matter to Computing
Provider: Faculty of Science

Activity no.: 7008-22-07-31 
Enrollment deadline: 01/03/2022
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time01.03.2022, at: 08:00 - 17.06.2022, at: 16:00
Regular seats50
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserJan Philip Solovej    E-mail address: solovej@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockSpring Block 4
Block noteThe course will consist of three phases. Phase 1: March 1 - May 13, Online lectures. Phase 2: May 13 - June 13, Students work on assignments. Phase 3: June 13 - June 17, Physical Master Class.
Exam requirementsThe students must through their active participation in the group work and the presentation at the master class show that they have acquired the necessary understanding and skills.
Exam formContinuous assessment
Exam detailsThe students will be evaluated on the group work, which will be presented during the master class
Exam aidsAll aids allowed
Grading scalePassed / Not passed
Course workload
Course workload categoryHours
Lectures36.00
Preparation140.00
Exercises5.00
Project work20.00
Seminar5.00

Sum206.00


Content
We are currently witnessing the second quantum revolution and with it, the advent of quantum technological devices for information processing purposes. Understanding these systems and their capabilities as well as developing robust algorithms for them, requires a fundamental understanding of complex quantum many-body systems as well as ways to characterize their properties efficiently. Within this course, we will help the participants to obtain proficiency in all of these aspects of quantum theory: quantum information, quantum many-body systems and quantum algorithms. For each of these topics, we will provide introductory lectures to get students acquainted with the topics before entering into the in-person phase, where experts and practitioners of these fields will give further insights.

Learning outcome
The goal is to provide the students with a blended learning approach to the course content on the mathematics of quantum theory with special emphasis on complex quantum many-body systems and quantum information theory.

The Main intended learning outcomes include an overview over the latest developments in those fields, the capability to analyze the performance and complexity of a given quantum optimization algorithm as well as how to efficiently benchmark and certify the functioning of a quantum information processing device. Furthermore, the course will help the participants to develop competencies to engage in self-organized cross-university and interdisciplinary collaborations via online group work as well as to give and receive peer-feedback on results.

Inviting external experts in the field will also give young researchers in the field the opportunity to grow their professional network considerably.

Literature
Research papers and lecture notes.

Teaching and learning methods
Phase 1: Online lectures
Phase 2: Group work
Phase 3: Physical Master Class - 13 to 17 June 2022 in Copenhagen
Phase 4: Online feedback session in August

Remarks
Recommended Academic Qualifications:
Linear algebra, probability, and real analysis. Basic knowledge in quantum mechanics.

Co-organiser: Albert Werner, werner@math.ku.dk
4EU+ contact person: Suzanne Andersen, suzanne@math.ku.dk

Centre for the Mathematics of Quantum Theory (QMATH) organizes the course together with the University of Milan and the University of Warsaw. The course is open to Danish and international PhD students and master students within MATH, Physics and Computer Science.

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