Quantum Mechanics From Condensed Matter To Computing

Provided by: Albert Werner

Number of ECTS: up to 10 (= 5 (phase 1) + 2.5 (phase 2) + 2.5 (phase 3&4)

Number of lectures/workshops:
• Phase 1: ca. 6 online lectures + exercises
• Phase 2: cross university group work
• Phase 3: one-week masterclass in Copenhagen
• Phase 4: final meeting in working group with tutors

Date available:
• phase 1: Jan-Apr 2022
• phase 2: May-June 2022
• phase 3: late June 2022
• phase 4: single day online meeting around August 2022

Competence framework topics:

1 Concepts of quantum physics

1.1 Basic concepts

1.2 Mathematical formalism

5 Quantum computing and simulation

5.2 Quantum programming languages and tools

Short description of the 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 in the first phase of the course before moving to more specialized lectures in the later phases on the mathematics of quantum theory with 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.

Extended description of the content:
The course is organized jointly between the Universities of Copenhagen, Milan and Warsaw and structured into four phases:

Phase 1) blended modality: introductory course during the semester, organized jointly across the three partner universities (regular lectures outside the usual lecture times to avoid collisions). All three partners will contribute two introductory lectures on the topics covered in the course.
Phase 2) online: preparatory group project (in small groups with tutors from the three partner universities) to consolidate learning outcomes and prepare presentations on specific topics for masterclass.
Phase 3) physical meeting at the University of Copenhagen: 5 days summer school with lectures on more advanced topics given by invited experts in field and presentations from the group work in phase 2.
Phase 4) online: a concluding meeting of 1 day with tutors and working group, approximately one week after the end of phase 3.

Maximum number of student participants: 60

Maximum number of universities participating:

Pre-requisites for the course:
Basic background in linear algebra and calculus. A first exposition to quantum mechanics in finite dimensions would be beneficial, but we will also compile a list of introductory lectures notes that.
In addition the different phases will require registration and some further documentation:
Phase 1: open registration to obtain Zoom-link
Phase 2: registration and motivation statement for group work
Phase 3: application + supporting statement from supervisor

Material available:
• Video/stream
• Exercises

Need for Teaching Assistance:

Other remarks concerning this course:

Known to be available at:

University of Copenhagen and 4EU+ universities

Signing up: Contact your local QTOM representative for instructions to sign up. The list of local QTOM representatives is maintained on the student area page.