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2021 年度 実績報告書

量子優位性の根源:状態とプロセスに対する量子資源の統一的アプローチ

研究課題

研究課題/領域番号 21F21015
配分区分補助金
研究機関東京大学

研究代表者

村尾 美緒  東京大学, 大学院理学系研究科(理学部), 教授 (30322671)

研究分担者 REGULA BARTOSZ  東京大学, 理学(系)研究科(研究院), 外国人特別研究員
研究期間 (年度) 2021-07-28 – 2024-03-31
キーワードQuantum resources / Quantum entanglement / Quantum channels / Higher-order operations
研究実績の概要

The main goal of the project is to establish useful approaches to describe the resources contained in quantum processes (quantum channels and more general higher-order quantum transformations) and to understand the advantages that they can provide in different settings.
During this early phase of the project, we focused on two tasks: (1) finalizing some research developments that began before the JSPS project started, but are directly related to the topic of the project; (2) exploring new mathematical methods and approaches in the study of quantum resources.
With regards to point (1), this led to a publication ["One-shot yield-cost relations in general quantum resource theories", PRX Quantum 3, 010348 (2022)] and another paper which is currently in preparation with collaborators. In particular, the published work is concerned with improved bounds for the conversion of quantum resources in noisy settings, which includes also transformations of resources of quantum channels.
For point (2), we have managed to establish a new approach to the characterization of quantum resources of quantum states, which is able to overcome the limitations of many previous methods and to tightly describe the capabilities of stochastic (probabilistic) resource transformations. This result was published ["Probabilistic transformations of quantum resources", Physical Review Letters 128, 110505 (2022)] and presented as a talk at the international conference Quantum Information Processing (QIP) 2022.

現在までの達成度 (区分)
現在までの達成度 (区分)

1: 当初の計画以上に進展している

理由

We were able to develop a novel approach to constraining the probabilistic transformations of quantum states, which was not planned in the initial proposal for the project. This led to a publication in a high-impact journal and a contributed presentation at the leading international conference in quantum information theory, showing the significance of our findings.

今後の研究の推進方策

The next part of the project will focus on two paths. First, we will aim to generalize some of the approaches that we have developed for quantum states (e.g. concerned with probabilistic transformations) so that they can be applied to quantum channels and processes. Second, we will work more directly on the study of higher-order quantum operations, aiming to connect our methods with the developments that have been occurring in the study of problems such as manipulation of quantum channels with indefinite causal order. The broad scope of the approach will allow us to relate more closely to other ongoing research in the group, but also to work with external collaborators who are experts in related techniques.

  • 研究成果

    (3件)

すべて 2022

すべて 雑誌論文 (2件) (うち国際共著 1件、 査読あり 2件、 オープンアクセス 1件) 学会発表 (1件) (うち国際学会 1件)

  • [雑誌論文] Probabilistic Transformations of Quantum Resources2022

    • 著者名/発表者名
      Regula Bartosz
    • 雑誌名

      Physical Review Letters

      巻: 128 ページ: 110505 1-7

    • DOI

      10.1103/PhysRevLett.128.110505

    • 査読あり
  • [雑誌論文] One-Shot Yield-Cost Relations in General Quantum Resource Theories2022

    • 著者名/発表者名
      Takagi Ryuji、Regula Bartosz、Wilde Mark M.
    • 雑誌名

      PRX Quantum

      巻: 3 ページ: 010348 1-33

    • DOI

      10.1103/PRXQuantum.3.010348

    • 査読あり / オープンアクセス / 国際共著
  • [学会発表] Probabilistic transformations of quantum resources2022

    • 著者名/発表者名
      Bartosz Regula
    • 学会等名
      25th Annual Conference on Quantum Information Processing (QIP2022)
    • 国際学会

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公開日: 2022-12-28   更新日: 2023-08-01  

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