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quant-ph2022★ 10 cited
Absence of localization in two-dimensional Clifford circuits
Tom Farshi, Jonas Richter, Daniele Toniolo +2
We analyze a Floquet circuit with random Clifford gates in one and two spatial dimensions. By using random graphs and methods from percolation theory, we prove in the two dimension…
quant-ph2020★ 11 cited
Mixing and localisation in random time-periodic quantum circuits of Clifford unitaries
Tom Farshi, Daniele Toniolo, Carlos E. González-Guillén +2
How much does local and time-periodic dynamics resemble a random unitary? In the present work we address this question by using the Clifford formalism from quantum computation. We…