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Algebraic and decision-theoretic ways into quantum resource theories

Research Project

Project/Area Number 20K03746
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionNagoya University

Principal Investigator

Buscemi F.  名古屋大学, 情報学研究科, 教授 (80570548)

Project Period (FY) 2020-04-01 – 2025-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2021: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsquantum measurements / quantum instruments / quantum incompatibility / measurement sharpness / thermodynamic resources / information engine / quantum error-correction / quantum guesswork / communication channels / fluctuation relations / quantum entanglement / quantum thermodynamics / quantum channels / quantum information / resource theories / statistical comparison / statistical decision / statistical inference
Outline of Research at the Start

Some well-known features of quantum theory, such as quantum entanglement and quantum coherence, have moved from being qualitative traits of the theory to becoming tangible resources, with the potential to unlock various novel tasks in computation and communication. Such a resource-theoretic viewpoint on quantum theory has recently become mainstream in quantum information sciences. This project aims to investigate quantum resource theories as problems of statistical decision and inference, bringing in tools and insights from operator algebra and mathematical statistics.

Outline of Annual Research Achievements

During FY2023, two very important papers for this project were finally published. One is the paper: "Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication" and the other is: "A complete and operational resource theory of measurement sharpness". These papers lay the foundations for a coherent resource-theoretic characterization of quantum measurement processes. The first paper deals with the notion of incompatibility, which was clear for POVMs but was hotly debated in the case of instruments, and finally settles the situation by introducing an overarching framework to unify and harmonize pervious proposals. The second paper instead deals with the notion of sharpness, which we relate to the operational idea of repeatability. Moreover, a coherent framework for sharpness-non-increasing operations, something that other researchers have been looking for in the past, has been finally obtained. In addition, another resource-theoretic result was obtained: "Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one way classical communication". The resource theory of purity plays an important role in modern formulations of quantum thermodynamics, and here we study the case of two players cooperating in the task.

Current Status of Research Progress
Current Status of Research Progress

1: Research has progressed more than it was originally planned.

Reason

The number of papers published this year is particularly high (see later). Among these, three papers were among the main goals of the present project, and all of them have been published in good journals.

Strategy for Future Research Activity

This project has been extended for another year. The reason is that the final journal paper of "Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one-way classical communication" is still in preparation. (Currently only a proceeding version has been published.) The remaining funds will be used to facilitate the international collaboration on which this paper is based.

Report

(4 results)
  • 2023 Research-status Report
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (60 results)

All 2024 2023 2022 2021 2020 Other

All Int'l Joint Research (5 results) Journal Article (19 results) (of which Int'l Joint Research: 19 results,  Peer Reviewed: 19 results,  Open Access: 15 results) Presentation (29 results) (of which Int'l Joint Research: 27 results,  Invited: 29 results) Remarks (7 results)

  • [Int'l Joint Research] Louisiana State University(米国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] National University of Singapore/Centre for Quantum Technologies(シンガポール)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Duke University(米国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Perimeter Institute(カナダ)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] University of Pavia(イタリア)

    • Related Report
      2020 Research-status Report
  • [Journal Article] A complete and operational resource theory of measurement sharpness2024

    • Author(s)
      Buscemi, F; Kobayashi, K; Minagawa, S
    • Journal Title

      Quantum

      Volume: 8 Pages: 1235-1235

    • DOI

      10.22331/q-2024-01-25-1235

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Virtual quantum broadcasting2024

    • Author(s)
      Parzygnat, AJ; Fullwood, J; Buscemi, F; Chiribella, G
    • Journal Title

      Physical Review Letters

      Volume: 132 Issue: 11 Pages: 110203-110203

    • DOI

      10.1103/physrevlett.132.110203

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Observational entropy, coarse-grained states, and the Petz recovery map: information-theoretic properties and bounds2023

    • Author(s)
      Buscemi, F; Schindler, J; Safranek, D
    • Journal Title

      New Journal of Physics

      Volume: 25 Issue: 5 Pages: 053002-053002

    • DOI

      10.1088/1367-2630/accd11

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Axioms for retrodiction: achieving time-reversal symmetry with a prior2023

    • Author(s)
      Parzygnat, AJ; Buscemi, F
    • Journal Title

      Quantum

      Volume: 7 Pages: 1013-1013

    • DOI

      10.22331/q-2023-05-23-1013

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one way classical communication2023

    • Author(s)
      Chakraborty, S; Nema, A; Buscemi, F
    • Journal Title

      2023 IEEE ISIT

      Volume: 2023 Pages: 1-1

    • DOI

      10.1109/isit54713.2023.10206692

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication2023

    • Author(s)
      Buscemi, F; Kobayashi, K; Minagawa, S; Perinotti, P; Tosini, A
    • Journal Title

      Quantum

      Volume: 7 Pages: 1035-1035

    • DOI

      10.22331/q-2023-06-07-1035

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Computing the quantum guesswork: a quadratic assignment problem2023

    • Author(s)
      Dall'Arno, M; Buscemi, F; Koshiba, T
    • Journal Title

      Quantum Information and Computation

      Volume: 23 Issue: 9&10 Pages: 721-732

    • DOI

      10.26421/qic23.9-10-1

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Maxwell’s Demon walks into Wall Street: Stochastic thermodynamics meets expected utility theory2023

    • Author(s)
      Ducuara, AF; Skrzypczyk, P; Buscemi, F; Sidajaya, P; Scarani, V
    • Journal Title

      Physical Review Letters

      Volume: 131 Issue: 19 Pages: 197103-197103

    • DOI

      10.1103/physrevlett.131.197103

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off2022

    • Author(s)
      Danageozian Arshag、Wilde Mark M.、Buscemi Francesco
    • Journal Title

      PRX Quantum

      Volume: 3 Issue: 2 Pages: 020318-020318

    • DOI

      10.1103/prxquantum.3.020318

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Von Neumann's information engine without the spectral theorem2022

    • Author(s)
      Minagawa Shintaro、Arai Hayato、Buscemi Francesco
    • Journal Title

      Physical Review Research

      Volume: 4 Issue: 3 Pages: 033091-033091

    • DOI

      10.1103/physrevresearch.4.033091

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Guesswork of a Quantum Ensemble2022

    • Author(s)
      Dall'Arno Michele、Buscemi Francesco、Koshiba Takeshi
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 68 Issue: 5 Pages: 3139-3143

    • DOI

      10.1109/tit.2022.3146463

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Explicit Construction of Optimal Witnesses for Input-Output Correlations Attainable by Quantum Channels2021

    • Author(s)
      Dall’Arno Michele、Brandsen Sarah、Buscemi Francesco
    • Journal Title

      Open Systems and Information Dynamics

      Volume: 27 Issue: 04 Pages: 2050017-2050017

    • DOI

      10.1142/s1230161220500171

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Fluctuation theorems from Bayesian retrodiction2021

    • Author(s)
      Buscemi Francesco、Scarani Valerio
    • Journal Title

      Physical Review E

      Volume: 103 Issue: 5 Pages: 052111-052111

    • DOI

      10.1103/physreve.103.052111

    • NAID

      120007175378

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Fluctuation theorems with retrodiction rather than reverse processes2021

    • Author(s)
      Aw Clive Cenxin、Buscemi Francesco、Scarani Valerio
    • Journal Title

      AVS Quantum Science

      Volume: 3 Issue: 4 Pages: 045601-045601

    • DOI

      10.1116/5.0060893

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The type-independent resource theory of local operations and shared randomness2020

    • Author(s)
      Schmid David、Rosset Denis、Buscemi Francesco
    • Journal Title

      Quantum

      Volume: 4 Pages: 262-262

    • DOI

      10.22331/q-2020-04-30-262

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Thermodynamic reverse bounds for general open quantum processes2020

    • Author(s)
      Buscemi Francesco、Fujiwara Daichi、Mitsui Naoki、Rotondo Marcello
    • Journal Title

      Physical Review A

      Volume: 102 Issue: 3 Pages: 032210-032210

    • DOI

      10.1103/physreva.102.032210

    • NAID

      120007145961

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] General state transitions with exact resource morphisms: a unified resource-theoretic approach2020

    • Author(s)
      Zhou Wenbin、Buscemi Francesco
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 53 Issue: 44 Pages: 445303-445303

    • DOI

      10.1088/1751-8121/abafe5

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Type-Independent Characterization of Spacelike Separated Resources2020

    • Author(s)
      Rosset Denis、Schmid David、Buscemi Francesco
    • Journal Title

      Physical Review Letters

      Volume: 125 Issue: 21 Pages: 210402-210402

    • DOI

      10.1103/physrevlett.125.210402

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Data-driven inference, reconstruction, and observational completeness of quantum devices2020

    • Author(s)
      Dall'Arno Michele、Buscemi Francesco、Bisio Alessandro、Tosini Alessandro
    • Journal Title

      Physical Review A

      Volume: 102 Issue: 6 Pages: 062407-062407

    • DOI

      10.1103/physreva.102.062407

    • NAID

      120007145960

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Incompatible incompatibilities, and how to make them compatible again2024

    • Author(s)
      Francesco Buscemi
    • Organizer
      BoseStat@100: International Conference on Photonics, Quantum Information, and Quantum Communication
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Incompatible incompatibilities, and how to make them compatible again2024

    • Author(s)
      Francesco Buscemi
    • Organizer
      Quantum TUT Workshop 2024
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Various types of divisibility and the role they play in statistical mechanics2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      Mathematical Physics in Quantum Technology: from Finite to Infinite Dimensions
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Resource-theoretic approach to two problems in the theory of quantum measurements2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      54th Symposium on Mathematical Physics
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Measurement sharpness and incompatibility as quantum resources2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      25th Conference of the International Linear Algebra Society (ILAS 2023): minisymposium "Tensors and quantum information"
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Petz recovery, Jeffrey retrodiction, and von Neumann’s "other" entropy2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      Quantum Information Theory and Mathematical Physics 2023
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Measurement sharpness and incompatibility as quantum resources2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      Shenzhen-Nagoya Workshop on Quantum Science
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Incompatible incompatibilities, and how to make them compatible again2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      Japanese-French Quantum Information 2023 workshop
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      Aspects of quantum information and quantum foundations
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Observational entropy, coarse-grained states, and irretrodictability2023

    • Author(s)
      Francesco Buscemi
    • Organizer
      KAIST-Nagoya GENKO Workshop on Entanglement and Quantum Markovian Process
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The theory of statistical comparison: a brief overview2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      SUSTech-Nagoya Workshop on Quantum Science
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Fluctuation relations and the second law of thermodynamics from Bayesian retrodiction2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      Quantum Information and Probability: from Foundations to Engineering (QIP22)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The theory of statistical comparison: where do we stand2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      15th Biennial Quantum Structure Conference
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Von Neumann's other entropy: observational entropy, coarse-grained states, and Petz recovery maps2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      Quantum extreme universe from quantum information
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Observational entropy, coarse-grained states, and irretrodictability2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      Third Kyoto Workshop on Quantum Information, Computation, and Foundation
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] About the incompatibility of quantum measurement processes2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      Quantum IT: from fundamentals to applications
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A hierarchy of resource theories of quantum incompatibility2022

    • Author(s)
      Francesco Buscemi
    • Organizer
      Quantum resources: from mathematical foundations to operational characterisation
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Retrodiction in stochastic thermodynamics2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      52 Symposium on Mathematical Physics
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The "thermodynamic reverse bound" and the role of retrodiction in the Second Law2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      SUSTech-Nagoya workshop on Quantum Science
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Prediction, retrodiction, and the Second Law of Thermodynamics2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      Summer School on Quantum Information and Quantum Technology 2021
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Bayesian Retrodiction and the Second Law of Thermodynamics2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      Louisiana State University Quantum Science and Tecehnology Seminar Series
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] The Petz map in maths, information theory, and physics: an overview2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      Workshop on Quantum Information and Quantum Black Holes
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Bayesian Retrodiction and the Second Law of Thermodynamics2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      Second Kyoto Workshop on Quantum Information, Computation, and Foundation
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A walk through the zoo of quantum information entropies2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      Quantum Information Entropy in Physics
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Fluctuation theorems from Bayesian retrodiction2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      13th Annual Symposium of the Centre for Quantum Technologies (CQT), Singapore
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The "thermodynamic reverse bound" and the role of retrodiction in the Second Law2021

    • Author(s)
      Buscemi Francesco
    • Organizer
      NCTS Annual Theory Meeting 2021: Quantum Physics, Quantum Information, and Quantum Technologies
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Optimal hiding/masking of quantum information2020

    • Author(s)
      Buscemi Francesco
    • Organizer
      Online Workshop on Quantum Information, Computation, and Foundations
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum entanglement: from basic question to technological resource2020

    • Author(s)
      Buscemi Francesco
    • Organizer
      KIAS School of Computational Sciences, Online Colloquium Series
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Statistical tests of "quantumness": from mathematics to technology2020

    • Author(s)
      Buscemi Francesco
    • Organizer
      20th Asian Quantum Information Science Conference (AQIS 2020)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Remarks] Beyond cloning

    • URL

      https://phys.org/news/2024-03-cloning-harnessing-power-virtual-quantum.html

    • Related Report
      2023 Research-status Report
  • [Remarks] Logic can replace physics in deriving...

    • URL

      https://www.quantumlah.org/about/highlight/2021-05-logical-retrodiction-fluctuation-relations

    • Related Report
      2021 Research-status Report
  • [Remarks] 推量問題の解析的特徴付けに成功

    • URL

      https://www.waseda.jp/top/news/78458

    • Related Report
      2021 Research-status Report
  • [Remarks] 早稲田大学 推量問題の難しさの解析的特徴付けに成功

    • URL

      http://www.shikoku-np.co.jp/prwire/detail.aspx?id=202202157391

    • Related Report
      2021 Research-status Report
  • [Remarks] A first step towards quantum algorithms...

    • URL

      https://phys.org/news/2022-03-quantum-algorithms-minimizing-guesswork-ensemble.html

    • Related Report
      2021 Research-status Report
  • [Remarks] In einer bahnbrechenden Studie...

    • URL

      https://www.nach-welt.com/in-einer-bahnbrechenden-studie-haben-forscher-analytische-losungen-fur-das-ratselraten-problem-fur-quanten-ensembles-abgeleitet-sciencedaily/

    • Related Report
      2021 Research-status Report
  • [Remarks] Perspective Article about our results

    • URL

      https://quantum-journal.org/views/qv-2020-05-07-35/

    • Related Report
      2020 Research-status Report

URL: 

Published: 2020-04-28   Modified: 2024-12-25  

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