Representation Theoretic Approach to Quantum Error Correction and Human Resource Development of Quantum Computing

Reference No. 2026a034
Type/Category Grant for General Research-Short-term Joint Research
Title of Research Project Representation Theoretic Approach to Quantum Error Correction and Human Resource Development of Quantum Computing
Principal Investigator Yasuyoshi Yonezawa(Quantinuum K.K.・Lead R&D scientist)
Research Period August 24,2026. - August 27,2026.
December 14,2026. - December 15,2026.
Keyword(s) of Research Fields Quantum computing, Quantum error correction, Human resource development of quantum computing
Abstract for Research Report In this study, based on the activities of previous IMI General Research - Short-term Joint Research, we aim to achieve the following objectives:
Objective 1: Research on Quantum Error Correction Theory via a Representation-Theoretic Approach
Ising anyons can implement only Clifford operations and therefore do not enable universal quantum computation. Prior studies have shown that universal quantum computation becomes possible by using generalized anyons that incorporate non-semisimple representations. Building on these results, we are working on the design of quantum circuits based on such generalized anyons and are planning experiments using quantum emulators.
Objective 2: Development of Human Resources in Quantum Computing
Currently, environments are available in which quantum algorithms can be executed on quantum computers with more than 50 qubits, reaching a regime where simulation using conventional computers or HPC systems is difficult (for reference, Quantinuum began commercial provision of 98-qubit quantum computers in 2025).
In the public program, the business update sessions by quantum computing–related companies, which have previously been conducted over one day, will be expanded to two days. This will provide a broader opportunity to share the latest trends across the quantum computing industry.

Expected Outcomes:
For Objective 1, we will simulate quantum computation based on generalized anyons and examine how it behaves on current quantum computers. Introducing quantum error correction mechanisms into this framework constitutes a separate challenge, which will also be investigated in parallel.
For Objective 2, inviting a larger number of companies to give talks will enable the sharing of up-to-date information from more diverse perspectives. This will help participants gain a clearer understanding of technological breakthroughs and market developments in the quantum computing industry. From the user perspective, this will facilitate more informed decision-making regarding the adoption of quantum technologies and the formulation of research directions, thereby strengthening the knowledge base of the community as a whole.
Organizing Committee Members (Workshop)
Participants (Short-term Joint Usage)
Yasuyoshi Yonezawa(Quantinuum K.K.・Lead R&D scientist)
Hiroyuki Ochiai(Institute of Mathematics for Industry, Kyushu University・Professor)
Jun Murakami(Faculty of Science and Engineering, Waseda University・Professor)
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