The research of Markus Müller’s group focuses on the theory of scalable quantum information processes. A key area concerns research on quantum error correction and quantum fault-tolerance.
Scalable Protocols for Fault-Tolerant Quantum Error Correction
A major theme of the group is the development of scalable approaches for quantum error correction, for a variety of state-of-the art quantum information processing platforms, including
• Trapped ions,
• Neutral Rydberg atoms and Rydberg ions,
• Superconducting qubits and spin-qubit based quantum processors.
Furthermore, we focus on the development of:
• new, more resource-efficient quantum error correcting codes, such as quantum LDPC, audit-based or bosonic codes
• fault-tolerant compilers
• efficient and optimised decoders
• co-design of fault-tolerant protocols, quantum circuits and hardware
• theoretical research and modeling of quantum computing building blocks
• quantum algorithms for the early era of quantum fault-tolerance
Pushing Practical Realization of Quantum Information Processing
In direct collaboration with leading experimental teams in the field, we aim at bringing the theoretical concepts we develop to experimental fruition, as highlighted by a number of joint theory-experiment breakthroughs in the field of quantum error correction.
Alternative Conceptual Approaches to Scalable Quantum Information Processing
Complementary to the standard approach of digital, i.e. gate-based quantum computing, equipped with quantum error correction, it is highly promising to explore potential alternative paradigms of robust quantum information processing. Here, our team explores specifically
• Open quantum neural networks, as driven-dissipative many-body quantum systems,
• Quantum auto-encoder networks and quantum cellular automata with emerging quantum error correction dynamics,
• Autonomous, i.e. measurement-free approaches to scalable, universal error-corrected quantum computing.
Fundamental Limits and Cross-Disciplinary Connections between Fault-Tolerant Quantum Computing, Statistical Physics and Computer Science
We perform research that aims to understand the fundamental capabilities as well as limitations of quantum error correction, by exploring cross-disciplinary connections between the field of quantum information, statistical physics and computer science. This includes, e.g., the exploration of mappings of noisy quantum error correcting codes to classical statistical physics models, and the exploration of coherent information to understand optimal quantum error correction thresholds.