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quant-ph2012★ 19 cited
Local random quantum circuits are approximate polynomial-designs - numerical results
Piotr Ćwikliński, Michał Horodecki, Marek Mozrzymas +2
We numerically investigate the statement that local random quantum circuits acting on n qubits composed of polynomially many nearest neighbour two-qubit gates form an approximate u…
quant-ph2012★ 315 cited
Local random quantum circuits are approximate polynomial-designs
Fernando G. S. L. Brandao, Aram W. Harrow, Michal Horodecki
We prove that local random quantum circuits acting on n qubits composed of O(t^{10} n^2) many nearest neighbor two-qubit gates form an approximate unitary t-design. Previously it w…