BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tomotaka Kuwahara (RIKEN) DTSTART:20260331T140000Z DTEND:20260331T150000Z DTSTAMP:20260405T114511Z UID:IAMP_seminars/192 DESCRIPTION:Title: Entanglement Hamiltonian on subsystem at non-zero temperatures \nby Tomotaka Kuwahara (RIKEN) as part of One world IAMP mathematical phys ics seminar\n\n\nAbstract\nThe entanglement Hamiltonian is an effective Ha miltonian that describes the properties of a subsystem after taking the pa rtial trace over the rest of the system. It plays a crucial role in variou s areas\, including clustering of conditional mutual information\, Hamilto nian learning\, and quantum algorithms\, etc [1]. However\, determining th e structure of the entanglement Hamiltonian is generally a challenging pro blem. Even at sufficiently high temperatures\, the standard cluster expans ion method is indicated to be ineffective [2].\n\nIn this talk\, I will pr esent an alternative approach to studying the entanglement Hamiltonian tha t works across all temperature regimes. I will also discuss the limitation s of this method and its implications for further research.\n\n[1] Tomotak a Kuwahara\, Clustering of Conditional Mutual Information and Quantum Mark ov Structure at Arbitrary Temperatures\, Physical Review X 15\, 041010 (20 25)\n\n[2] Kohtaro Kato\, Tomotaka Kuwahara\, Clustering of Conditional Mu tual Information via Quantum Belief-Propagation Channels\, arXiv:2504.0223 5v2\n LOCATION:https://researchseminars.org/talk/IAMP_seminars/192/ END:VEVENT END:VCALENDAR