Representation Theoretic Approach to Quantum Error Correction and Human Resource Development of Quantum Computing
| Reference No. | 2024a027 |
|---|---|
| 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. / Quantum Software Outreach Officer） |
| Research Period |
August 19, 2024. - August 21, 2024. December 16, 2024. - December 18, 2024. |
| Keyword(s) of Research Fields | Quantum computing, Quantum error correction, Human resource development of quantum computing |
| Objectives and Expected Results | Based on the activities of the Grant for General Research-Short-term Joint Research in FY2022 and FY2023 (organizing committee members are the same as in the current year), the objectives of this research are as follows: Objective 1: Research on quantum error correction theory using a representation-theoretic approach. We discussed quantum error correction theory in FY2023. In the quantum error correction theory we focus on, trivalent graphs appear. Trivalent graphs also appear as a graphical representation of the intertwining operators between representations of quantum groups. In the discussions in FY2023, we have confirmed that the trivalent graphs appearing in quantum error correction theory are derived from a special case of the trivalent graphs obtained from representation theory of quantum group. In FY2024, we will continue to discuss this topic and work on the implementation and experiments on the Quantinuum H-series quantum computer too. Objective 2. Human resource development of quantum computing: In 2022, the number of qubits on the Quantinuum H1 quantum computer increased from 12 to 20. Furthermore, in 2023, the successor, the 32-qubit quantum computer H2, was released. The number of qubits is expected to continue to increase, as you can find the roadmaps for the development of quantum computers by various companies. And the development of quantum computers is also underway in Japan. So, Human resource development of quantum computing will continue to be important. On the FY2024 training for quantum computer, we provide training content based on the FY2023 and new content that past event participants will learn from. In the Objective 1 research, we contribute to the research field of quantum computing by solving the challenge in quantum error correction theory using a representation-theoretic approach. Working on Objective 2, we contribute to the training of researchers with knowledge of quantum computing. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Yasuyoshi Yonezawa（Quantinuum K.K. / Quantum Software Outreach Officer） Hiroyuki Ochiai（Institute of Mathematics for Industry, Kyushu University / Professor） Jun Murakami（Faculty of Science and Engineering, Waseda University / Professor） |
| Public Website | https://joint.imi.kyushu-u.ac.jp/post-15352/ |