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Black Hole and Quantum Information

Research Project

Project/Area Number 15540258
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionTokyo Institute of Technology

Principal Investigator

HOSOYA Akio  Tokyo Institute of Technology, Department of Physics, Professor (80028258)

Co-Investigator(Kenkyū-buntansha) KOIKE Tatsuhiko  Keio University, Department of Physics, Assistant professor (40286646)
Project Period (FY) 2003 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Keywordsquantum comnutation / variational princinle / unitary transformation / mixed state / quantum brachistochrone equation / measurement / 量子宇宙 / 幾何学 / 特異点 / ブラックホール / 量子力学 / 最適時間発展 / 相対論 / 量子情報 / 量子情報理論 / 相対エントロピー / 量子宇宙論 / 量子情報空間の計量 / 測地線 / 単調計量 / 相補性 / エンタングルメント
Research Abstract

We have given a general frame work to find an optimal quantum evolution for given initial final states in quantum mechanics in analogy to brachistochrone in classical mechanics. The formulation is based on variational principle, in which the Hamiltonian is regarded as a dynamical variable as well as the quantum state. The available Hamiltonian is constrained by natural law or experimental set-up etc and taken care of as the constraints. A few simple examples are demonstrated.
This method is extended to the case of arbitrary initial state so as to be relevant to quantum computation. We demonstrated it in typical two qubit gates. To scale-up to many qubits, we have developed a powerful numerical methods. The method is extended to mixed state cases by using measurement. In some cases, the quantum trajectory which passes mixed state is more efficient.
We hope our method is useful for quantum computation algorithm, quantum control and Making efficient quantum devices.

Report

(5 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (11 results)

All 2007 2006 2004 Other

All Journal Article (8 results) (of which Peer Reviewed: 2 results) Presentation (2 results) Publications (1 results)

  • [Journal Article] Time Optimal Unitary Operations2007

    • Author(s)
      Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira
    • Journal Title

      Phys.Rev.A 75

      Pages: 42308-42308

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Yosuke Okudaira Time Optimal Unitary Operations2007

    • Author(s)
      Alberto Carlini, Akio Hosoya, Tatsuhiko Koike
    • Journal Title

      Phys.Rev.A 75

      Pages: 60503-60503

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Time-optimal unitary operations2007

    • Author(s)
      Alberto Carlini, Akio Hosaya, Tatsuhiko Koike, Yosuke Okudaira
    • Journal Title

      Phys. Rev. A75

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Time Optimal Quantum Evolution2006

    • Author(s)
      Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira
    • Journal Title

      Phys.Rev.Lett. 96

      Pages: 60503-60503

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Yosuke Okudaira Time Optimal Quantum Evolution2006

    • Author(s)
      Alberto Carlini, Alcio Hosoya, Tatsuhiko Koike
    • Journal Title

      Phys.Rev.Lett.

      Pages: 60503-60503

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Time-optimal quantum evolution2006

    • Author(s)
      Alberto Carlini, Akio Hosaya, Tatsuhiko Koike, Yosuke Okudaira
    • Journal Title

      Phys. Rev. Lett.96

      Pages: 60503-60503

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Time-optimal Quantum Evolution2006

    • Author(s)
      A.CALRILI, A.HOSOYA, T.KOIKE, Y.OKUDAIRA
    • Journal Title

      Phys.Rev.Lett 96

      Pages: 60503-6507

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Information Entropy in Cosmology2004

    • Author(s)
      Akio Hosoya, Thomas Buchert, Masaaki Morita
    • Journal Title

      Phys.Rev.Lett. 92

      Pages: 141302-141302

    • Related Report
      2004 Annual Research Report
  • [Presentation] International Conference on Quantum And Bioinformation2007

    • Author(s)
      Quantum Brachistochrone
    • Organizer
      Science University
    • Place of Presentation
      NODA, Japan
    • Year and Date
      2007-05-19
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Presentation] Quantum Brachistochrone2007

    • Author(s)
      細谷 暁夫
    • Organizer
      Quantum and Bio Information(QUBIC)
    • Place of Presentation
      東京理科大
    • Year and Date
      2007-03-16
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Publications] A.Hosoya, T.Buchert, M.Morita: "Information Entropy in Cosmology"Phys.Rev.Lett.. (to appear). (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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