Designing theory for quantum state transfer based on systems and control theory

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K06151
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering/System engineering
• Research Institution: Keio University
• Principal Investigator: Yamamoto Naoki 慶應義塾大学, 理工学部(矢上), 准教授 (40513289)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 量子メモリ / システム制御理論

Outline of Final Research Achievements

The purpose is to develop useful designing methods for quantum state transfer, based on systems and control theory. Depending on the type of systems, the following results have been obtained. (1) For the general multi-input multi-output linear system, the iff condition for the perfect state transfer and the concrete protocol have been clarified. Also an application to designing a quantum optical switch has been given. (2) For the Gradient Echo Memory system (a typical infinite dimensional system) detailed investigations have been examined; condition for the input pulse shape, performance evaluation depending on the detuning, and so on. (3) For a coupled qubit system (a typical nonlinear system) the iff condition for the perfect state transfer and the concrete protocol have been clarified. (4) For the general single-input single-output linear system, a novel protocol for reducing the complexity of the required input pulse shape has been developed.

Free Research Field

量子制御理論、量子情報理論