Exploiting Matroid Minor Theory and Its Connection with Quantum Computing Models

2016 Fiscal Year Final Research Report

• Project/Area Number: 26540004
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Theory of informatics
• Research Institution: The University of Tokyo
• Principal Investigator: IMAI Hiroshi 東京大学, 大学院情報理工学系研究科, 教授 (80183010)
• Co-Investigator(Renkei-kenkyūsha): MORIYAMA Sonoko 日本大学, 文理学部, 教授 (20361537)
• Research Collaborator: HIRAISHI Hidefumi 東京大学, 大学院情報理工学系研究科, 助教 (70795335)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: アルゴリズム理論 / 有向マトロイド / 量子コンピュータ / 量子計算 / 量子ネットワーク符号化

Outline of Final Research Achievements

This research investigated computation power of quantum computing, specifically measurement-based quantum computing, in terms of parameters developed in matroid minor theory by extending the theory itself. The power is characterized by the widths of matroids, and then a new approach using the BDD representing a quantum state is developed. The database of matroids of moderate sizes has been also maintained to use it for future computational analysis.

Free Research Field

量子情報科学