• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Analysis of quantum computers that have constraints on memory accesses

Research Project

Project/Area Number 16K00007
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Theory of informatics
Research InstitutionYamagata University

Principal Investigator

Nakanishi Masaki  山形大学, 地域教育文化学部, 教授 (40324967)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Discontinued (Fiscal Year 2019)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords量子計算機 / 量子オートマトン / 量子計算機シミュレータ / 量子アルゴリズム / 量子コンピュータ / 量子コンピュータシミュレータ / affineオートマトン / カウンタオートマトン / 量子計算モデル / FPGA / GPGPU / 情報基礎 / アルゴリズム
Outline of Final Research Achievements

We analyzed the computational power of quantum computers that have restrictions on memory accesses. It was shown that there is a quantum automaton that can recognize a certain language, while the classical counterpart cannot recognize it. This implies that there is a function that can be computed by a quantum automaton, while it cannot be computed by the classical counterpart; quantum computers can be more powerful than classical computers.
Moreover, we developed several methods that boost quantum computer simulators.

Academic Significance and Societal Importance of the Research Achievements

量子計算機は従来の計算機と比べて高速に問題を解くことができるため,大きな注目を集めている.量子計算機は量子状態を利用するため,その実装には高度な技術が必要となる.そのため,将来,実用規模の量子計算機が実現される初期の段階では,その動作に様々な制約が課されることが予想され,特に量子メモリについては様々な制約の下でのみアクセスが可能になると考えられる.本研究成果は,そのような実現初期段階の量子計算機を効率的に使うための指針となりうる.

Report

(4 results)
  • 2019 Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (12 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (4 results) Journal Article (6 results) (of which Int'l Joint Research: 4 results,  Open Access: 2 results,  Peer Reviewed: 4 results,  Acknowledgement Compliant: 2 results) Presentation (2 results) (of which Int'l Joint Research: 1 results)

  • [Int'l Joint Research] National University of Asuncion(パラグアイ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Latvia(ラトビア)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] National University of Asuncion(パラグアイ)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] University of Latvia(Latvia)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Computational Complexity of Space-Bounded Real Numbers2018

    • Author(s)
      Masaki Nakanishi and Marcos Villagra
    • Journal Title

      arXiv

      Volume: arXiv:1805.02572 Pages: 1-16

    • Related Report
      2018 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Quantum pushdown automata with garbage tape2018

    • Author(s)
      Masaki Nakanishi
    • Journal Title

      International Journal of Foundations of Computer Science

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Exact affine counter automata2017

    • Author(s)
      Masaki Nakanishi, Kamil Khadiev, Krisjanis Prusis, Jevgenijs Vihrovs, and Abuzer Yakaryilmaz
    • Journal Title

      Proc. of the 15th International Conference on Automata and Formal Languages

      Volume: EPTCS 252 Pages: 205-218

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Affine counter automata2017

    • Author(s)
      Masaki Nakanishi, Abuzer Yakaryilmaz
    • Journal Title

      arXiv

      Volume: arXiv:1703.04281 Pages: 1-15

    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Quantum Query Complexity of Almost All Functions with Fixed On-Set2016

    • Author(s)
      A. Ambainis, K. Iwama, M. Nakanishi, H. Nishimura, R. Raymond, S. Tani, S. Yamashita
    • Journal Title

      Computational Complexity

      Volume: 25 Issue: 4 Pages: 723-735

    • DOI

      10.1007/s00037-016-0139-6

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Cache-aware quantum circuit simulation on a GPGPU2016

    • Author(s)
      M. Nakanishi, N. Morioka, and K. Shoji
    • Journal Title

      Proc. of the 16th Asian Quantum Information Science Conference (AQIS2016)

      Volume: n/a Pages: 11-12

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] A hardware architecture for simulating the HHL algorithm2019

    • Author(s)
      Kimika Beppu, Kanae Nakabayashi, and Masaki Nakanishi
    • Organizer
      22nd Annual Conference on Quantum Information Processing
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] FPGAを用いた正則グラフ上の量子ウォークのシミュレーション2016

    • Author(s)
      中鉢大喜, 中西正樹
    • Organizer
      第35回量子情報技術研究会
    • Place of Presentation
      高エネルギー加速器研究機構
    • Year and Date
      2016-11-24
    • Related Report
      2016 Research-status Report

URL: 

Published: 2016-04-21   Modified: 2021-02-19  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi