Classification and Quantification of multi-partite entanglement by using group theory

• Project/Area Number: 21740301
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Atomic/Molecular/Quantum electronics
• Research Institution: Osaka City University
• Principal Investigator: SUGITA Ayumu 大阪市立大学, 大学院・工学研究科, 准教授 (90398412)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 量子情報 / エンタングルメント / 群論

Research Abstract

We studied classification and quantification of multipartite entanglemen by using a group theoretical method. For 3-qubit systems we found that our method can generate the known complete set of measures in a different form. For 4-qubit systems we confirmed that enough number of measures can be generated by our method. Many new measures are also found for systems with more than four qubits. We also made a computer program to generate measures for general multi-level systems.

Research Products

• [Journal Article] Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2011)
  • Author(s): Ayumu Sugita
  • Journal Title: Proceedings of International Workshop Pages: 17-28
• [Journal Article] Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2011)
  • Author(s): Ayumu Sugita
  • Journal Title: Proceedings of International Workshop "Low-dimensional Nanoscale Systems" Pages: 17-28
• [Journal Article] 量子と統計力学 (2010)
  • Author(s): 杉田歩
  • Journal Title: 別冊数理科学 1月号 Pages: 188-194
• [Presentation] Time-independent Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2012)
  • Author(s): Ayumu Sugita
  • Organizer: East Asia Joint Seminas on Statistical Physics 2012
  • Place of Presentation: Suzhou, China
  • Year and Date: 2012-03-19
• [Presentation] Time-independent Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2012)
  • Author(s): Ayumu Sugita
  • Organizer: East Asia Joint Seminas on Statistical Physics 2012
  • Place of Presentation: Suzhou, China(招待講演)
  • Year and Date: 2012-03-19
• [Presentation] 時間に依存しない摂動論による非平衡定常状態の解析 (2012)
  • Author(s): 杉田歩
  • Organizer: 量子論の諸問題と今後の発展
  • Place of Presentation: KEK,筑波
  • Year and Date: 2012-03-16
• [Presentation] 時間に依存しない摂動論による非平衡定常状態の解析 (2012)
  • Author(s): 杉田歩
  • Organizer: 量子論の諸問題と今後の発展
  • Place of Presentation: KEK,筑波(招待講演)
  • Year and Date: 2012-03-16
• [Presentation] Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2011)
  • Author(s): Ayumu Sugita
  • Organizer: International Workshop Low-dimensional Nanoscale Systems
  • Place of Presentation: Tashkent, Uzbekistan
  • Year and Date: 2011-11-11
• [Presentation] Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2011)
  • Author(s): Ayumu Sugita
  • Organizer: International Workshop "Low-dimensional Nanoscale Systems
  • Place of Presentation: Tashkent, Uzbekistan(招待講演)
  • Year and Date: 2011-11-11
• [Presentation] 時間に依存しない摂動論による非平衡定常状態の解析 (2011)
  • Author(s): 杉田歩
  • Organizer: 日本物理学会2011年秋季大会
  • Place of Presentation: 富山大学
  • Year and Date: 2011-09-22
• [Presentation] Perturbative Analysis of Nonequilibrium Steady States in Quantum Systems (2010)
  • Author(s): Ayumu Sugita
  • Organizer: Japan Slovenia Seminar on Nonlinear Science Kansai 2010
  • Place of Presentation: Osaka Prefecture University
  • Year and Date: 2010-11-09
• [Presentation] 量子系における非平衡定常状態の摂動論的解析II (2010)
  • Author(s): 杉田歩
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 大阪府立大
  • Year and Date: 2010-09-24
• [Presentation] Multipartite Enganglement Measures in Terms of Group Representation Theory (2010)
  • Author(s): Ayumu Sugita
  • Organizer: Summer School on Diversities in Quantum Computation/Information
  • Place of Presentation: U-Community Hotel, Higashi-Osaka
  • Year and Date: 2010-08-01
• [Presentation] Multipartite Enganglement Measures in Terms of Group Representation Theory (2010)
  • Author(s): Ayumu Sugita
  • Organizer: Summer School on Diversities in Quantum Computation/Information
  • Place of Presentation: U-Community Hotel, Higashi-Osaka(招待講演)
  • Year and Date: 2010-08-01
• [Presentation] 量子系における非平衡定常状態の摂動論的解析 (2010)
  • Author(s): 杉田歩
  • Organizer: 日本物理学会
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-22
• [Presentation] Thermal conduction in quantum systems : universalities and their origins (2009)
  • Author(s): Ayumu Sugita
  • Organizer: 12-th Japan-Slovenia Seminar on Nonlinear Science
  • Place of Presentation: University of Maribor
  • Year and Date: 2009-10-09
• [Presentation] Thermal conduction in quantum systems : universalities and their origins (2009)
  • Author(s): Ayumu Sugita
  • Organizer: 12-th Japan-Slovenia Seminar on Nonlinear Science
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-10-09
• [Presentation] 量子スピン系における非平衡定常状態の普遍性と非普遍性 (2009)
  • Author(s): 杉田歩
  • Organizer: 日本物理学会
  • Place of Presentation: 熊本大学
  • Year and Date: 2009-09-25