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Quantum Simulation

Measurement-induced phase transitions in quantum automaton circuits

arXiv
Authors: Jason Iaconis, Andrew Lucas, Xiao Chen

Year

2020

Paper ID

20201

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We study the entanglement dynamics 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 EPR 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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We study the entanglement dynamics in a generic quantum automaton circuit subjected to projective measurements.

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