Operator algebras and index theory in quantum walks and quantum information theory

Research Project

Project/Area Number	24K06756
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Review Section	Basic Section 12010:Basic analysis-related
Research Institution	Nagoya University
Principal Investigator	ボーンクリストファー・ジャック名古屋大学, 教養教育院, 准教授 (20830110)
Project Period (FY)	2024-04-01 – 2028-03-31
Project Status	Granted (Fiscal Year 2024)
Budget Amount *help	¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000) Fiscal Year 2027: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000) Fiscal Year 2026: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000) Fiscal Year 2025: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000) Fiscal Year 2024: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords	Quantum information / Quantum walk / Floquet systems
Outline of Research at the Start	Quantum information theory considers the evolution of a quantum state. The project will apply techniques from the field of operator algebras and index theory to three models of quantum information: quantum walks, Floquet systems and quantum cellular automata.