Odd entropy and holography

2020 Fiscal Year Final Research Report

• Project/Area Number: 19K23441
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Multi-year Fund
• Review Section: 0203:Particle-, nuclear-, astro-physics, and related fields
• Research Institution: Kyoto University
• Principal Investigator: Tamaoka Kotaro 京都大学, 基礎物理学研究所, 特定研究員 (30848354)
• Project Period (FY): 2019-08-30 – 2021-03-31
• Keywords: 超弦理論 / 量子情報 / ホログラフィー / AdS/CFT対応 / 量子エンタングルメント

Outline of Final Research Achievements

The purpose of this study was to clarify the physical significance of the new quantum information theoretic quantity called odd entropy, which was recently discovered by the applicant. As a result, the fundamental properties of the odd entropy, such as the basic relations it satisfies, and its applicability to various physical phenomena (e.g., thermalization, phase transition, decoherence processes, etc.) were clarified. Not only that, the applicant discovered a new quantum information quantity called "pseudo entropy", and conducted similar research.

Free Research Field

素粒子論

Academic Significance and Societal Importance of the Research Achievements

オッド・エントロピーは、申請者が超弦理論の文脈から新たに見つけた量子情報量である。本研究は、このオッド・エントロピーがさまざまな物理現象（熱化、相転移現象、デコヒーレンス過程など）の理解へ役立つことを明らかにした。今後も、超弦理論の文脈から見つかった量子情報量たちが、さまざまな物理の基礎研究において応用されることが期待できる。