Measurement-induced phase transitions in quantum automaton circuits

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Speaker
Xiao Chen
Date
06/05/2021 - 20:00 - 19:00Add to Calendar 2021-05-06 19:00:00 2021-05-06 20:00:00 Measurement-induced phase transitions in quantum automaton circuits We study the entanglement dynamics and the possible phase transitions in a generic quantum automaton circuit subjected to projective measurements. We design an efficient algorithm which not only allows us to perform large-scale simulation for the Rényi entropy, but also provides a physical picture for the entanglement dynamics, which can be interpreted in terms of a classical bit-string model which belongs to the directed percolation universality class. We study the purification dynamics of a state formed by Einstein-Podolsky-Rosen pairs, and the growth of entanglement starting from a product state. In both cases, we verify numerically that the dynamics is in the universality class of classical directed percolation.   Registration link Recording zoom Department of Physics physics.dept@mail.biu.ac.il Asia/Jerusalem public
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Abstract

We study the entanglement dynamics and the possible phase transitions in a generic quantum automaton circuit subjected to projective measurements. We design an efficient algorithm which not only allows us to perform large-scale simulation for the Rényi entropy, but also provides a physical picture for the entanglement dynamics, which can be interpreted in terms of a classical bit-string model which belongs to the directed percolation universality class. We study the purification dynamics of a state formed by Einstein-Podolsky-Rosen pairs, and the growth of entanglement starting from a product state. In both cases, we verify numerically that the dynamics is in the universality class of classical directed percolation.

 

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Last Updated Date : 10/05/2021