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[Lecture] Maximal entanglement velocity implies dual unitarity
Mar. 01, 2023
Speaker: Tianci Zhou (MIT)

Host: Zhicheng Yang(zcyang19@pku.edu.cn)

Time: 9:00-10:00 am, March 1, 2023, GMT+8

Venue: Zoom Meeting ID: 963 5796 8034 Password: 125125

Abstract:

A global quantum quench can be modeled by a quantum circuit with local unitary gates. In general, entanglement grows linearly at a rate given by entanglement velocity. Locality yields a finite light cone, which bounds the velocity. I will show that the unitary interactions achieving the maximal rate must remain unitary if we exchange the space and time directions – a property known as dual unitarity. The results are robust: approximate maximal entanglement velocity also implies approximate dual unitarity. Furthermore, such maximal entanglement velocity is always accompanied by a specific dynamical pattern of entanglement, which yields simpler analyses of several known exactly solvable models.

Source: School of Physics