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QMATH PhD course 2026 on Quantum Error Correction
Provider: Faculty of Science

Activity no.: 5106-26-00-00	There are 80 available seats
	Enrollment deadline: 16/07/2026

Place	Department of Mathematical Sciences
Date and time	17.08.2026, at: 09:00 - 21.08.2026, at: 16:00
Regular seats	80
Lecturers	Albert H. Werner
ECTS credits	2.50

Contact person	Nina Weisse E-mail address: weisse@math.ku.dk

Enrolment Handling/Course Organiser	PhD Administration SCIENCE E-mail address: phdcourses@science.ku.dk

Enrolment guidelines This is a specialised course where 50% of the seats are reserved for PhD students enrolled at the Faculty of SCIENCE at UCPH and 50% of the seats are reserved for PhD students at other faculties and universities. Seats will be allocated on a first-come, first-served basis and according to the applicable rules. Anyone can apply for the course, but if you are not a PhD student, you will be placed on the waiting list until enrollment deadline. After the enrollment deadline, available seats will be allocated to applicants on the waiting list. Aim and Content The aim of the course is to provide participants with a solid understanding of the key ideas, methods, and recent breakthroughs in quantum error correction, one of the most fundamental components of scalable quantum computation and communication. The course will bring together leading experts in the field to present a broad and up-to-date overview of the theoretical foundations and practical implementations of quantum codes, as well as the challenges that remain in building fault-tolerant quantum technologies. Throughout the course, participants will be introduced to the essential principles of quantum error correction, fault tolerance, and noise thresholds, and will gain insight into how these ideas shape the architecture of modern quantum hardware. The lectures will cover both the mathematical structures underlying quantum codes and their physical realizations. In particular, Kubitsa will introduce and discuss the state of the art in topological quantum codes, explaining their geometric and physical underpinnings and their role in current experimental efforts. Leverrier will present the latest advances in quantum LDPC codes, a rapidly developing area that promises high performance and efficient decoding. Finally, Mueller-Hermes will explore threshold theorems for quantum communication, explaining how rigorous fault-tolerance guarantees can be established even in the presence of realistic noise. Together, these lectures will provide a comprehensive and coherent picture of the modern landscape of quantum error correction, from theory to implementation. Learning outcomes After completing the course, students will have acquired the following knowledge, skills, and competences: Knowledge •Understand the theoretical foundations of quantum error correction and fault tolerance, including the stabilizer formalism and logical encoding of quantum information. •Be familiar with the structure and principles of topological quantum codes and quantum LDPC codes, as well as their mathematical and physical underpinnings. •Comprehend the concept of noise thresholds and their role in determining the feasibility of scalable quantum computation and communication. •Gain awareness of current research frontiers and open problems in the design, decoding, and physical implementation of quantum codes. Skills •Analyze and compare different classes of quantum error-correcting codes, identifying their advantages and limitations. •Apply core techniques from coding theory, topology, and quantum information to reason about error propagation and fault-tolerant operations. •Interpret and critically evaluate contemporary research literature in quantum error correction and related subfields. Competences •Integrate advanced theoretical knowledge to assess the performance and scalability of quantum error-correcting schemes. •Formulate and explore new research questions at the interface of quantum information theory, mathematics, and physics. •Reflect independently and critically on the broader implications of quantum error correction for the development of reliable quantum technologies. Target Group This master class will be of interest for PhD students and advanced master students in mathematics, physics or computer science. It should serve as a way of entering the broad and vibrant field of quantum information theory. The masterclass will consist of blackboard lectures, giving an introduction to quantum error correction. There will be a poster session, where all participants have the opportunity to present their research. Recommended Academic Qualifications We do expect that students have basic knowledge about quantum information theory. Research Area Quantum information and computation. Teaching and Learning Methods The course will consist of blackboard lectures. Course coordinator Albert Werner Guest Lecturers Anthony Leverrier, Inria, Franca Aleksander Kubica, Yale University, USA Alexander Mueller-Hermes, Oslo University, Norway Dates 17-21 August 2026 Expected frequency Once. Course location HCØ Auditorium Registration The deadline for registration will be 16 July 2026. We will require a short CV and Motivational letter sent to the course director by mail werner@math.ku.dk Course fee and participant fee PhD courses offered at the Faculty of SCIENCE have course fees corresponding to different participant types. In addition to the course fee, there might also be a participant fee. If the course has a participant fee, this will apply to all participants regardless of participant type - and in addition to the course fee. Course fee • Participant fee: DKK 0,- • PhD student enrolled at SCIENCE: DKK 0,- • PhD student from Danish PhD school Open market: DKK 0,- • PhD student from Danish PhD school not Open market: DKK 3000,- • PhD student from foreign university: DKK 3000,- • Master's student from Danish university: DKK 0,- • Master's student from foreign university: DKK 3000,- • Non-PhD student employed at a university (e.g., postdocs): DKK 3000,- • Non-PhD student not employed at a university (e.g., from a private company): DKK 8.400,- Cancellation policy • Cancellations made up to two weeks before the course starts are free of charge. • Cancellations made less than two weeks before the course starts will be charged a fee of DKK 3.000,- • Participants with less than 80% attendance cannot pass the course and will be charged a fee of DKK 5.000,- • No-show will result in a fee of DKK 5.000,- • Participants who fail to hand in any mandatory exams or assignments cannot pass the course and will be charged a fee of DKK 5.000,-

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