Partial entanglement, modular flow and the minimal cross section (Dec. 22, 2020)

  • Published: 2020-12-17

Time: 14:30 (UTc/GMT+8:00,Beijing/Shanghai), Dec. 22 (Tue.), 2020
Venue: Rm. 302 KITS Seminar Room, 3th floor, No. 7 Building, UCAS Zhong-Guan-Cun Campus [View on maps]


Speaker: Qiang Wen (Southeast University)



The partial entanglement is an additive information theoretical quantity, which is closely relate to the entanglement entropy. I will show that the partial entanglement has a holographic picture, which can be interpreted by a point-to-point correspondence between the points on the boundary interval and the points on the RT surface. From pure information theoretical point of view, the partial entanglement entropy can be write as a linear combination of the entanglement entropies for certain subintervals. Based on this fine correspondence, I will show the partial entanglement directly relate to the modular flow and the minimal cross section. My discussion will be confined in the cases with local modular Hamiltonian.


Invited by Prof. Hua-Jia Wang