Quantum Computing Theory
Quantum Computer Architectures
Our research is dedicated to architectures for quantum computers. Our approach is not based on the translation of bits into quantum bits, but the quantum information is represented as relative information, as “parity”. In this architecture, quantum gates between qubits are translated into single qubit operations. This paradigm applies to adiabatic quantum computers, measurement-based quantum computers, “near-term” universal quantum computers, error-reduced quantum computers and fully fault-tolerant quantum computers.
Our research interests include:
- Architectures for quantum computing: in the development of quantum algorithms, theoretical requirements and experimental feasibility must be reconciled. New experimental tools enable new theoretical approaches and, conversely, theoretical advances inspire new experimental directions.
- Compilers and error correction: One of the biggest challenges in quantum computing is overcoming errors.
- Statistical mechanics in quantum computing: Novel approaches in quantum computing such as adiabatic quantum computing combine concepts of statistical mechanics and computing.

Wolfgang Lechner
Professor of Theoretical Physics
PhD 2009, University of Vienna, Austria
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Affiliations
Institute for Theoretical Physics, University of Innsbruck
CEO of Parity Quantum Computing GmbH

Wolfgang Lechner is Professor of Theoretical Physics at the University of Innsbruck and founder of ParityQC, a company specializing in the development of quantum computer architectures. He completed his master's degree at the University of Vienna and received his doctorate there in 2009 under the supervision of Prof. Christoph Dellago. After postdoctoral positions at the University of Amsterdam and at IQOQI with Prof. Peter Zoller, he joined the Institute of Theoretical Physics at the University of Innsbruck in 2016 and habilitated in 2019. His research interests include quantum computing, quantum information, statistical mechanics and non-equilibrium many-body physics. Lechner has made significant contributions to quantum computing, including the parity architecture, which has its origins in the Lechner-Hauke-Zoller (LHZ) model.
Over the course of his career, Wolfgang Lechner has received numerous prestigious grants and awards, including the Houska Prize and the Phoenix Founder's Prize. He is currently Principal Investigator for several projects, including “Quantum Optimization” via BeyondC of the FWF and the project “Quantum Classical Ultrasoft Matter” via EU Horizon Europe.