Theoretical Study on the Nonlocality of Quantum Mechanics based on Mesons

• Project/Area Number: 20540391
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Atomic/Molecular/Quantum electronics
• Research Institution: High Energy Accelerator Research Organization
• Principal Investigator: TSUTSUI Izumi High Energy Accelerator Research Organization, 素粒子原子核研究所, 准教授 (10262106)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000); Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: Bell不等式 / 量子もつれ / 同種粒子 / 中間子 / 量子相関

Research Abstract

We studied several issues associated with experiments designed for testing nonlocality of quantum mechanics based on elementary particles including mesons. The problems for establishing quantum correlations due to the indistinguishablity of particles and their passive nature of decays were analyzed. We proposed a novel set of measures which is useful to characterize the entanglement of many particle states (such as GHZ and W). The intrinsic relative nature of entanglement with respect to measurement setups was also made transparent in our treatment of correlations.

Research Products

• [Journal Article] Entanglement of Indistinguishable Particles (2011)
  • Author(s): T.Sasaki, T.Ichikawa, I.Tsutsui
  • Journal Title: Phys.Rev.A 83 Pages: 12113-12113
  • Peer Reviewed
• [Journal Article] Entanglement of Indistinguishable Particles (2011)
  • Author(s): T.Sasaki
  • Journal Title: Phys.Rev.A Volume: 83 Pages: 12113-12113
  • Peer Reviewed
• [Journal Article] Separability of N-particle Fermionic States for Arbitrary Partitions (2010)
  • Author(s): T.Ichikawa, T.Sasaki, I.Tsutsui
  • Journal Title: Journ.Math.Phys. 51 Pages: 62202-62202
  • Peer Reviewed
• [Journal Article] Separability of N-particle Fermionic States for Arbitrary Partitions (2010)
  • Author(s): T.Ichikawa
  • Journal Title: Journ.Math.Phys. Volume: 51 Pages: 62202-62202
  • Peer Reviewed
• [Journal Article] Separability of N-particle Fermionic States for Arbitrary Partitions (2010)
  • Author(s): T.Ichikawa
  • Journal Title: Journ.Math.Phys. 51(印刷中)
  • Peer Reviewed
• [Journal Article] Entanglement Measures for Intermediate Separability of Quantum States (2009)
  • Author(s): T.Ichikawa, T.Sasaki, I.Tsutsui
  • Journal Title: Phys.Rev.A 79 Pages: 52307-52307
  • Peer Reviewed
• [Journal Article] Quantum Force Induced on a Partition Wall in a Harmonic Potential (2009)
  • Author(s): T.Fulop
  • Journal Title: Journ.Phys.A 42
  • Peer Reviewed
• [Journal Article] Entanglement Measures for Intermediate Separability of Quantum States (2009)
  • Author(s): T. Ichikawa
  • Journal Title: Phys. Rev. A 79 Pages: 52307-52307
  • Peer Reviewed
• [Journal Article] Testing the EPR Locality using B-Mesons (2008)
  • Author(s): T.Ichikawa, S.Tamura, I.Tsutsui
  • Journal Title: Phys.Lett.A 373 Pages: 39-39
  • Peer Reviewed
• [Journal Article] Exchange Symmetry and Multipartite Entanglement (2008)
  • Author(s): T. Ichikawa
  • Journal Title: Phys. Rev. A 78 Pages: 52105-52105
  • Peer Reviewed
• [Journal Article] Testing the EPR Locality using B-Mesons (2008)
  • Author(s): T. Ichikawa
  • Journal Title: Phys. Lett. A 373 Pages: 39-44
  • Peer Reviewed
• [Presentation] 量子もつれの測定依存性について (2011)
  • Author(s): 佐々木寿彦
  • Organizer: 日本物理学会 2011年春期大会
  • Place of Presentation: 新潟大学
  • Year and Date: 2011-03-25
• [Presentation] Entanglement of Indistinguishable Particles based on Measurement (2011)
  • Author(s): 筒井泉
  • Organizer: 国際研究集会「Nagoya Winter Workshop 2011」
  • Place of Presentation: 名古屋大学
  • Year and Date: 2011-02-16
• [Presentation] Comments on the entangled H(2p) pair generation experiment at the Photon Factory, viewed from the foundation of quantum mechanics (2011)
  • Author(s): 筒井泉
  • Organizer: 国際workshop「The James Sullivan Workshop on Atomic and Molecular Sciences and their Applications」
  • Place of Presentation: 上智大学
  • Year and Date: 2011-01-29
• [Presentation] Comments on the entangled H(2p)pair generation experiment at the Photon Factory, viewed from the foundation of quantum mechanics (2011)
  • Author(s): 筒井泉
  • Organizer: 国際workshop「The James Sullivan Workshop on Atomit and Molecular Sciences and their Applications」
  • Place of Presentation: 上智大学
  • Year and Date: 2011-01-29
• [Presentation] 同種粒子系における量子もつれの定式化について (2010)
  • Author(s): 市川翼
  • Organizer: 日本物理学会 2010年秋期大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-09-23
• [Presentation] 同種粒子系における量子もつれの特徴的な例について (2010)
  • Author(s): 佐々木寿彦
  • Organizer: 日本物理学会 2010年秋期大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-09-23
• [Presentation] 量子井戸における経路積分と正準量子化との対応について (2010)
  • Author(s): 佐々木寿彦
  • Organizer: 日本物理学会 第65回年次大会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-22
• [Presentation] 同種粒子性と量子相関 (2010)
  • Author(s): 筒井泉
  • Organizer: KEK研究会「量子論の諸問題と今後の発展」
  • Place of Presentation: 高エネルギー加速器研究機構
  • Year and Date: 2010-03-15
• [Presentation] Non-locality of Quantum Mechanics in Particle Physics-Exploration by Mesons- (2010)
  • Author(s): 筒井泉
  • Organizer: ICHOR-EFES International Symposium on New Facet of Spin-Isospin Responses (SIR2010)
  • Place of Presentation: 東京大学
  • Year and Date: 2010-02-21
• [Presentation] Non-locality of Quantum Mechanics in Particle Physics - Exploration by Mesons - (2010)
  • Author(s): Izumi Tsutsui
  • Organizer: ICHOR-EFES International Symposium on New Facet of Spin-Isospin Responses (SIR2010)
  • Place of Presentation: 東京大学Koshiba Hall
  • Year and Date: 2010-02-21
• [Presentation] Non-locality of Quantum Mechanics in Particle Physics (2010)
  • Author(s): Izumi Tsutsui
  • Organizer: Nagoya Winter Workshop on Quantum Information, Measurement, and Quantum Foundations
  • Place of Presentation: 名古屋大学IAR Hall
  • Year and Date: 2010-02-20
• [Presentation] エンタングルメント測度を用いた一方向量子計算過程の評価 (2009)
  • Author(s): 佐々木寿彦
  • Organizer: 日本物理学会 2009年秋期大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-26
• [Presentation] 同種粒子系の非量子もつれ状態について (2009)
  • Author(s): 市川翼
  • Organizer: 日本物理学会 2009年秋期大会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-25
• [Presentation] B中間子によるBell不等式の検証実験とその意義 (2009)
  • Author(s): 筒井泉
  • Organizer: 第6回AMO(原子、分子、光学)討論会
  • Place of Presentation: 大阪大学
  • Year and Date: 2009-06-12
• [Presentation] B中間子によるBell不等式の検証実験とその意義 (2009)
  • Author(s): 筒井泉
  • Organizer: 第6回AMO(原子、分子、光学)討論会
  • Place of Presentation: 大阪大学工学部
  • Year and Date: 2009-06-12
• [Presentation] 部分分離性に基づく量子もつれ測度族の応用について (2009)
  • Author(s): 佐々木寿彦
  • Organizer: 日本物理学会 第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [Presentation] 部分分離性を特徴づける量子もつれ測度族の構成 (2009)
  • Author(s): 市川翼
  • Organizer: 日本物理学会 第64回年次大会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-27
• [Presentation] 置換対称性と多体系エンタングルメントについて (2008)
  • Author(s): 市川翼
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 山形大学
  • Year and Date: 2008-09-20
• [Book] 量子力学の反常識と素粒子の自由意志 (2011)
  • Author(s): 筒井泉
  • Total Pages: 100
  • Publisher: 岩波書店
• [Book] 「線形代数と量子力学」(数理科学2010年3月号特集:「物理数学の効用」所収) (2010)
  • Author(s): 筒井泉
  • Total Pages: 7
  • Publisher: サイエンス社
• [Book] 発展する量子力学(数理科学2009年2月号) (2009)
  • Author(s): 筒井泉
  • Total Pages: 14
  • Publisher: サイエンス社
• [Remarks]
  • URL: http://research.kek.jp/people/itsutsui/
• [Remarks]
  • URL: http://research.kek.jp/people/itsutsui/