Foundations of quantum theory from a universal viewpoint

• Project/Area Number: 22740078
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kyoto University (2012-2014); National Institute of Advanced Industrial Science and Technology (2010-2011)
• Principal Investigator: MIYADERA Takayuki 京都大学, 工学(系)研究科(研究院), 准教授 (50339123)
• Project Period (FY): 2010-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥4,436,172 (Direct Cost: ¥3,412,440、Indirect Cost: ¥1,023,732); Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2011: ¥926,172 (Direct Cost: ¥712,440、Indirect Cost: ¥213,732); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 量子論基礎 / 量子測定 / 量子情報 / 一般確率論 / 逐次測定 / 量子測定理論 / 順序構造 / 不確定性関係 / アルゴリズム的情報理論

Outline of Final Research Achievements

We studied the foundations of quantum theory from a universal point of view. Our findings include the followings: (1) some properties of quantum Kolmogorov complexity were obtained and its applicability to the quantum information was shown (2) the notion of quantum incompatibility was establihed (3) an order-theoretic structure behind the quantum incompatibility was revealed (4) state-discrimination problem in the convex approach was studied (5) the security of semiclassical quantum cryptography was examined (6) a limitation on the physical interaction in measurement processes was found.

Research Products

• [Journal Article] Universality of sequential quantum measurements (2015)
  • Author(s): Teiko Heinosaari, Takayuki Miyadera
  • Journal Title: Physical Review A Volume: 91 Issue: 2 Pages: 022110-022110
  • DOI: 10.1103/physreva.91.022110
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Strongly Incompatible Quantum Devices (2014)
  • Author(s): Teiko Heinosaari, Takayuki Miyadera, Daniel Reitzner
  • Journal Title: Foundations of Physics Volume: 44 Issue: 1 Pages: 34-57
  • DOI: 10.1007/s10701-013-9761-1
  • Peer Reviewed
• [Journal Article] Qualitative Noise-Disturbance Relation in Quantum Measurements (2013)
  • Author(s): Teiko Heinosaari, Takayuki Miyadera
  • Journal Title: Physical Review A Volume: 88 Issue: 4
  • DOI: 10.1103/physreva.88.042117
  • Peer Reviewed
• [Journal Article] On the security of Quantum Key Distribution Ping-Pong Protocol (2013)
  • Author(s): 吉田雅一，宮寺隆之，今井秀樹
  • Journal Title: Journal of Quantum Information Science Volume: vol. 3 Issue: 01 Pages: 16-19
  • DOI: 10.4236/jqis.2013.31004
  • Peer Reviewed
• [Journal Article] A Numerical Evaluation of Entanglement Sharing Protocols Using Quantum LDPC CSS Codes (2012)
  • Author(s): Masakazu Yoshida, Manabu Hagiwara, Takayuki Miyadera, Hideki Imai (Masakazu Yoshida)
  • Journal Title: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Volume: E95.A Issue: 9 Pages: 1561-1569
  • DOI: 10.1587/transfun.E95.A.1561
  • NAID: 10031142542
  • ISSN: 0916-8508, 1745-1337
  • Peer Reviewed
• [Journal Article] Quantum Kolmogorov Complexity and Information-Disturbance Theorem (2011)
  • Author(s): Takayuki Miyadera
  • Journal Title: Entropy Volume: 13 Issue: 4 Pages: 778-789
  • DOI: 10.3390/e13040778
  • Peer Reviewed
• [Journal Article] Quantum Kolmogorov Complexity and Bounded Quantum Memory (2011)
  • Author(s): Takayuki Miyadera
  • Journal Title: Physical Review A Volume: 83 Issue: 4
  • DOI: 10.1103/physreva.83.042316
  • Peer Reviewed
• [Journal Article] Relation between strength of interaction and accuracy of measurement for a quantum measurement (2011)
  • Author(s): Takayuki Miyadera
  • Journal Title: Physical Review A Volume: 83 Issue: 5
  • DOI: 10.1103/physreva.83.052119
  • Peer Reviewed
• [Journal Article] Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional Systems (2011)
  • Author(s): Takayuki Miyadera
  • Journal Title: Journal of Mathematical Physics Volume: 52 Issue: 7
  • DOI: 10.1063/1.3614503
  • Peer Reviewed
• [Journal Article] Relation between information and disturbance in quantum key distribution protocol with classical Alice (2011)
  • Author(s): Takayuki Miyadera
  • Journal Title: International Journal of Quantum Information Volume: 9 Issue: 06 Pages: 1427-1435
  • DOI: 10.1142/s0219749911008118
  • Peer Reviewed
• [Presentation] 量子測定におけるincompatibility (2014)
  • Author(s): 宮寺隆之
  • Organizer: 若手のための量子情報基礎セミナー
  • Place of Presentation: 京都大学基礎物理学研究所
  • Year and Date: 2014-08-08 – 2014-08-10
  • Invited
• [Presentation] Qualitative Noise-disturbance relation of quantum measurements (2013)
  • Author(s): Takayuki Miyadera
  • Organizer: Quantum Information and Foundations of Quantum mechanics
  • Place of Presentation: Vancouver
• [Presentation] Qualitative noise-disturbance relation for quantum measurements (2013)
  • Author(s): Takayuki Miyadera
  • Organizer: Incompatible Quantum Measurements
  • Place of Presentation: Munich
  • Invited
• [Presentation] 同時局在可能性・同時測定可能性・同時操作可能性 (2012)
  • Author(s): 宮寺隆之
  • Organizer: 量子論の諸問題と今後の発展
  • Place of Presentation: KEK
  • Year and Date: 2012-03-17
• [Presentation] A Quantum Probability-theoretic account of human judgment using Positive-Operator-Valued Measures (2012)
  • Author(s): Takayuki Miyadera, Steven Phillips (Takayuki Miyadera)
  • Organizer: THE ANNUAL MEETING OF THE COGNITIVE SCIENCE SOCIETY
  • Place of Presentation: Sapporo
• [Presentation] 量子測定における同時操作不可能性 (2012)
  • Author(s): Takayuki Miyadera, Teiko Heinosaari, Daniel Reitzner (Takayuki Miyadera)
  • Organizer: 第27回量子情報技術研究会
  • Place of Presentation: 慶応義塾大学
• [Remarks]
  • URL: http://staff.aist.go.jp/miyadera-takayuki/