Measurement-induced phase transitions in quantum automaton circuits
- URL: http://arxiv.org/abs/2010.02196v2
- Date: Wed, 6 Jan 2021 15:52:14 GMT
- Title: Measurement-induced phase transitions in quantum automaton circuits
- Authors: Jason Iaconis, Andrew Lucas, Xiao Chen
- Abstract summary: We study the entanglement dynamics in a generic quantum automaton circuit subjected to projective measurements.
We design an efficient algorithm which allows us to perform large scale simulation for the R'enyi entropy.
- Score: 5.691318972818067
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 R\'enyi 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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