A model of quantum register based on generalizedcoupled-channel point interactions

• Project/Area Number: 17540376
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: 原子・分子・量子エレクトロニクス・プラズマ
• Research Institution: Kyoto Sangyo University
• Principal Investigator: TOYAMA Masafumi Kyoto Sangyo University, コンピュータ理工学部, 教授 (60180189)
• Research Collaborator: Y. Nogami McMaster 大学, 名誉教授 ; W. Van Dijk Redeemer University College, 教授 ; F.A.B. Coutinho ブラジルSao Paulo大学, 教授
• Project Period (FY): 2005 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,890,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥390,000); Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000); Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
• Keywords: 一般化された点状相互作用 / チャンネル結合 / 量子レジスター / 量子ソロバン / threshold anomaly / 量子検索アルゴリズム / 点状相互作用 / 量子ダイナミクス / 自己共役拡張 / PT不変

Research Abstract

一般化された点状相互作用と、2チャンネル結合系の点状相互作用を用いた量子レジスターモデルについて調べた。量子レジスターの本モデルでは、2状態系としての量子レジスターが、2チャンネル結合点状相互作用による量子散乱過程によって記述される。関連課題として、量子力学の非局所性、量子テレポーテーションの時間発展モデル、シュレーディンガー方程式の高精度数値解法、量子探索問題、等についても研究を行った。

Research Products

• [Journal Article] Matched-multiphase Grover algorithm for a small number of marked states (2009)
  • Author(s): F. M. Toyama, S. Kasai, W. van Dijk and Y. Nogami
  • Journal Title: Physical Review A Vol.79
  • Peer Reviewed
• [Journal Article] Matched-multiphase Grover algorithm for a small number of marked states (2009)
  • Author(s): F. M. Toyama
  • Journal Title: Physical Review A 79
  • Peer Reviewed
• [Journal Article] One-dimensional pointinteraction with three complexparameters (2008)
  • Author(s): F.A.B. Coutinho, Y. Nogami and F. M. Toyama
  • Journal Title: Journal of Physics A : Mathematical Theoretical Vol.41
  • Peer Reviewed
• [Journal Article] The Time-Dependent SchrodingerEquation : The Need for the Hamiltonianto be Self-Adjoint (2008)
  • Author(s): V.S. Araujo, F.A.B. Coutinho and F.M. Toyama
  • Journal Title: Brazilian Journal of Physics Vol.38 Pages: 178-187
  • Peer Reviewed
• [Journal Article] Multiphasematching in the Grover algorithm (2008)
  • Author(s): F. M. Toyama, W. van Dijk, Y. Nogami, M. Tabuchi and Y. Kimura
  • Journal Title: Physical Review A Vol.77
  • Peer Reviewed
• [Journal Article] The time-dependent Schrodinger equation : The need for the Hamiltonian to be self-adjoint (2008)
  • Author(s): V. S. Araujo
  • Journal Title: Braz. J. of Physics A : Math. and Theor. 38 Pages: 178-188
  • Peer Reviewed
• [Journal Article] Multiphase matching in the Grover algorithm (2008)
  • Author(s): F. M. Toyama
  • Journal Title: Physical Review A 77
  • Peer Reviewed
• [Journal Article] One-dimensional point interaction with three complex parameters (2008)
  • Author(s): F. A. B. Coutinho
  • Journal Title: Journal of Physics A : Math. and Theor. 41 Pages: 235306-235317
  • Peer Reviewed
• [Journal Article] The time-dependent Schrodinger equation: The need for the Hamiltonian to be self-adjoint (2008)
  • Author(s): V. S. Araujo
  • Journal Title: Braz. Journal of Physics 38 Pages: 178-188
  • Peer Reviewed
• [Journal Article] One-dimensional point interaction with three complex parameters (2008)
  • Author(s): F. A. B. Coutinho
  • Journal Title: Journal of Physics A: Math. and Theor. (印刷中)
  • Peer Reviewed
• [Journal Article] Transmission- reflection problem with a potential of the form of the derivative of the delta function (2007)
  • Author(s): F. M. Toyama and Y. Nogami
  • Journal Title: Journal ofPhysics A : Mathematical, Theoretical Vol.40
  • Peer Reviewed
• [Journal Article] Accurate numerical solutions of thetime-dependent Schrodinger equation (2007)
  • Author(s): W. van Dijk and F. M. Toyama
  • Journal Title: Physical Review E Vol.75
  • Peer Reviewed
• [Journal Article] Transmission-reflection problem with a potential of the form of the derivative of the delta function (2007)
  • Author(s): F. M. Toyama
  • Journal Title: Journal of Physics A : Math. and Theor. 40
  • Peer Reviewed
• [Journal Article] Accurate numerical solutions of the time-dependent Schrodinger equation (2007)
  • Author(s): Wytse van Dijk
  • Journal Title: Physical Review E 74
  • Peer Reviewed
• [Journal Article] Transmission-reflection problem with a potential of the form of the derivative of the delta function (2007)
  • Author(s): F. M. Toyama
  • Journal Title: Journal of Physics A: Math. and Theor. 40
  • Peer Reviewed
• [Journal Article] Accurate numerical solutions of the time-dependent Schrodinger equation (2007)
  • Author(s): W.van Dijk, F.M.Toyama
  • Journal Title: Physical Review E 75
• [Journal Article] Energy-dependent point interaction : Self-adjointness (2006)
  • Author(s): F.A.B. Coutinho, Y. Nogami, L. Tomio and F.M. Toyama
  • Journal Title: Canadian Journal of Physics Vol.84 Pages: 991-1005
  • Peer Reviewed
• [Journal Article] Non-local correlations in Bohm trajectories (2006)
  • Author(s): F. M. Toyama and K. Matsuura
  • Journal Title: Physica Scripta Vol.73 Pages: 17-22
  • Peer Reviewed
• [Journal Article] Non-local correlations in Bohm trajectories (2006)
  • Author(s): F.M Tomoyama, K.Matsuura
  • Journal Title: Physica Scripta 73 Pages: 17-22
• [Journal Article] Energy-dependent point interactions : Self-adjointness (2006)
  • Author(s): F.A.B Coutinho, Y.Nogami, L.Tomio, F.M.Toyama
  • Journal Title: Canadian Journal of Physics 84 Pages: 991-1005
• [Journal Article] Non-local correlations in Bohm trajectories (2006)
  • Author(s): F.M.Toyama, K.Matsuura
  • Journal Title: Physica Scripta 73 Pages: 17-22
• [Journal Article] PT-invariant point interactions in one dimension (2005)
  • Author(s): F.A.B. Coutinho, Y. Nogami, L. Tomio and F. M. Toyama
  • Journal Title: Journal of Physics A : Mathematical and General Vol.38
• [Journal Article] Energy-dependent point interaction in one dimension (2005)
  • Author(s): F.A.B. Coutinho, Y. Nogami, L. Tomio and F. M. Toyama
  • Journal Title: Journal of Physics A : MathematicalGeneral Vol.38 Pages: 4989-4998
  • Peer Reviewed
• [Journal Article] A time-dependent model for teleportation of a quantum state of position and momentum (2005)
  • Author(s): F. M. Toyama and K. Saito
  • Journal Title: Canadian Journal of Physics Vol.83 Pages: 687-698
  • Peer Reviewed
• [Journal Article] Energy-dependent point interaction in one dimension (2005)
  • Author(s): F.A.B.Coutinho, Y.Nogami, L.Tomio, F.M.Toyama
  • Journal Title: Journal of Physics A : Math.Gen. 38 Pages: 4989-4998
• [Journal Article] A time-dependent model for teleportation of a quantum state of position and momentum (2005)
  • Author(s): F.M.Toyama, K.Saito
  • Journal Title: Canadian Journal of Physics 83 Pages: 687-698
• [Journal Article] PT-invariant point interactions in one dimension (2005)
  • Author(s): F.A.B.Coutinho, Y.Nogami, L.Tomio, F.M.Toyama
  • Journal Title: Journal of Physics A : Math.Gen. 38
• [Presentation] Multiphase matching in the Grover algorithm and its efficient solutions (2008)
  • Author(s): F. M. Toyama, S. Kasai, W. van Dijk and Y. Nogami
  • Organizer: International Workshop on Automata, Formal Languages and Algebraic Systems
  • Place of Presentation: Kyoto Japan
  • Year and Date: 2008-09-21
• [Presentation] Multiphase matching in the Grover algorithm and Its efficient solutions (2008)
  • Author(s): F. M. Toyama
  • Organizer: International Workshop on Automata, Formal Languagesand Algebraic Systems (AFLAS 2008)
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2008-09-21
• [Presentation] Accurate numerical solutions of the time-dependent Schrodinger equation (2007)
  • Author(s): Wytse van Dijk
  • Organizer: APS April Meeting 2007(2007年アメリカ物理学会)
  • Place of Presentation: Jacksonville, Florida, USA
  • Year and Date: 2007-04-14
• [Presentation] Accurate numerical solutions of the time-dependent Schrodinger equation (2007)
  • Author(s): W. van Dijk and F. M. Toyama
  • Organizer: April Meeting of the American PhysicalSociety
  • Place of Presentation: Florida USA
• [Presentation] 量子力学の非局所性検証実験のシミュレータ(Simulators for verification experiment of non-locality of quantum mechanics) (2005)
  • Author(s): 中道智之, 外山政文
  • Organizer: 日本物理学会2005年秋季大会
  • Place of Presentation: 於同志社大学(日本物理学会講演概要集, 第2分冊第60 巻第2号p269.)
  • Year and Date: 2005-09-20
• [Book] Developments in Language Theory (2008)
  • Author(s): M. Ito and F. M. Toyama (Editor)
  • Total Pages: 544
  • Publisher: Springer
• [Book] Developments in Language Theory, LNCS 5257 (2008)
  • Author(s): M. Ito (Coeditors)
  • Total Pages: 544
  • Publisher: Springer
• [Remarks]
• [Remarks]
  • URL: http://www.cc.kyoto-su.ac.jp/~toyama/
• [Remarks] 業績
  • URL: http://post.kyoto-su.ac.jp/s/w020/w020a100-utf.php?sno=2003&mode=
• [Remarks]
  • URL: http://www.cc.kyoto-su.ac.jp/~toyama/
• [Remarks]
  • URL: http://www.cc.kyoto-su.ac.jp/~toyama/