Uncertainty Principle and Attainable Control Performance of Quantum Systems

• Project/Area Number: 19560436
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Control engineering
• Research Institution: The University of Tokyo
• Principal Investigator: TSUMURA Koji The University of Tokyo, 大学院・情報理工学系研究科, 准教授 (80241941)
• Co-Investigator(Kenkyū-buntansha): HARA Shinji 東京大学, 大学院・情報理工学系研究科, 教授 (80134972)
• Project Period (FY): 2007 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 量子力学 / 制御理論 / スピン系 / フィードバック制御 / 量子フィルタリング / エンタングルド状態 / 制卸理論

Research Abstract

In this research, we deal with quantum spin feedback control systems under continuous measurements and derive theoretical limitation on convergence rate of quantum states to target states in quantum filters and quantum feedback systems. We also derive observation systems and feedback systems to attain multi-qbit entangled states on quantum spin systems.

Research Products

• [Journal Article] Local State Transition of Feedback Controlled Quantum Systems with Imperfect Detector Efficiency: Part I: Differential Geometric Analysis for Dynamical Systems with Matrix-valued Systems (2010)
  • Author(s): T.Tomotake, S.Hara, K.Tsumura
  • Journal Title: SICE Journal of Control, Measurement, and System Integration 3(6) Pages: 409-416
• [Journal Article] Local State Transition of Feedback Controlled Quantum Systems with Imperfect Detector Efficiency: Part II: Accessibility Analysis for Quantum Systems (2010)
  • Author(s): T.Tomotake, S.Hara, K.Tsumura
  • Journal Title: SICE Journal of Control, Measurement, and System Integration 3(6) Pages: 417-423
  • NAID: 10031140036
• [Journal Article] Local state transition of feedback controlled quantum systems with imperfect detector efficiency : Part I : Differential geometric analysis for dynamical systems with matrix-valued states (2010)
  • Author(s): Tomotake Sasaki, Shinji Hara, Koji Tsumura
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Volume: vol.3, No.6 Pages: 409-416
  • NAID: 10031140035
  • Peer Reviewed
• [Journal Article] Local state transition of feedback controlled quantum systems with imperfect detector efficiency : Part II : Accessibility analysis for quantum systems (2010)
  • Author(s): Tomotake Sasaki, Shinji Hara, Koji Tsumura
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Volume: vol.3, No.6 Pages: 417-423
  • NAID: 10031140036
  • Peer Reviewed
• [Journal Article] Feedback control of quantum entanglement in a two-spin system (2007)
  • Author(s): N.Yamamoto, K.Tsumura, S.Hara
  • Journal Title: Automatica 43 Pages: 981-992
• [Journal Article] Feedback control of quantum entanglement in a two-spin system (2007)
  • Author(s): Y. Yamamoto, K. Tsumura, S. Hara
  • Journal Title: Automatica 43 Pages: 981-992
  • Peer Reviewed
• [Presentation] Global Stabilization of Quantum Spin Systems via Discrete Time Feedback Control, Proc (2010)
  • Author(s): D.Matsuna, K.Tsumura
  • Organizer: the 49th IEEE Conference of Decision and Control(pp.3766-3771)
• [Presentation] Accessibility Analysis for Controlled Quantum Systems under Continuous Quantum Measurement (2010)
  • Author(s): T.Sasaki, S.Hara, K.Tsumura
  • Organizer: Proc.19th IEEE International Conference on Control Applications(pp.1749-1754)
• [Presentation] Global Stabilization of Quantum Spin Systems via Discrete Time Feedback Control (2010)
  • Author(s): D.Matsuna, K.Tsumura
  • Organizer: Proc.the 49th IEEE Conference of Decision and Control
  • Place of Presentation: アトランタ,米国
• [Presentation] Design of Observation for Multi-qubit Preparation based on Equilibrium Point Analysis (2010)
  • Author(s): D.Matsuna, K.Tsumura
  • Organizer: Proceedings of SICE Annual Conference 2010
  • Place of Presentation: 台北,台湾
• [Presentation] 量子スピン系の離散時間フィードバック制御による大域的安定化 (2010)
  • Author(s): 松名大輔, 津村幸治
  • Organizer: 第10回計測自動制御学会制御部門大会
  • Place of Presentation: 熊本
• [Presentation] 多量子ビット系のエンタングル状態を生成するためのシステム設計 (2009)
  • Author(s): 阿部智成,津村幸治
  • Organizer: SICE第9回制御部門大会
  • Place of Presentation: 東広島
• [Presentation] ポイントコンタクトを用いた結合量子ドット系のモデル化と状態推定 (2008)
  • Author(s): 大木健太郎, 原辰次
  • Organizer: 計測自動制御学会 第8回制御部門大会
  • Place of Presentation: 京都
  • Year and Date: 2008-03-07
• [Presentation] Generation of quantum entangled state via continuous feedback control (2008)
  • Author(s): T.Abe, K.Tsumura
  • Organizer: Proc.SICE Annual Conference 2008(p.3305-3308)
• [Presentation] Analysis on behaviors of controlled quantum systems via quantum entropy (2008)
  • Author(s): T.Abe, T.Sasaki, S.Hara, K.Tsumura
  • Organizer: Proc.the 17th World Congress, The International Federation of Automatic Control(pp.3695-3700)
  • Place of Presentation: Seul, Korea
• [Presentation] Global stabilization at arbitrary eigenstates of N-dimensional quantum spin systems via continuous feedback (2008)
  • Author(s): K.Tsumura
  • Organizer: Proc.the 2008 American Control Conference(pp.4148-4153)
• [Presentation] Global stabilization atarbitrary eigenstates of N-dimensional quantum spinsystems Via continuous feedback (2008)
  • Author(s): K. Tsumura
  • Organizer: The 2008 American Control Conference
  • Place of Presentation: Seattle, USA
• [Presentation] Analysis on behavlors of controlled quantum systems via quantum entropy (2008)
  • Author(s): T. Abe, T. Sasaki, S. Hara, K. Tsumura
  • Organizer: The 17th World Congress, The International Federation of Automatic Control
  • Place of Presentation: Soul, Korea
• [Presentation] Generation of quantum entangled state via continuous feedback control (2008)
  • Author(s): T. Abe, K. Tsumura
  • Organizer: SICE Annual Conference 2008
  • Place of Presentation: Cyofu, Japan
• [Presentation] Global stabilization of at arbitrary eigenstates of N-dimensional quantum spin systems via c (2007)
  • Author(s): K. Tsumura
  • Organizer: 計測自動制御学会 第36回制御理論シンポジウム
  • Place of Presentation: 札幌
  • Year and Date: 2007-09-06
• [Presentation] Global stabilization of N-dimensional quantum spin systems via continuous feedback (2007)
  • Author(s): K. Tsumura
  • Organizer: The 2007 American Control Conference
  • Place of Presentation: New York
  • Year and Date: 2007-07-11
• [Presentation] Global stabilization of N-dimensional quantum spin systems via continuous feedback (2007)
  • Author(s): K.Tsumura
  • Organizer: Proc.the 2007 American Control Conference(pp.2129-2134)