Local random quantum circuits are approximate polynomial-designs: numerical results
Local random quantum circuits are approximate polynomial-designs: numerical results
We numerically investigate the statement that local random quantum circuits acting on n qubits composed of polynomially many nearest-neighbor two-qubit gates form an approximate unitary poly(n)-design (Brandão et al 2012 arXiv:1208.0692). Using a group theory formalism, spectral gaps that give a ratio of convergence to a given t-design are evaluated …