Closed-form expressions and circuit compression enable efficient strong and weak simulation of noisy stabilizer circuits with non-deterministic measurements.
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The phase quantum walk replaces the shift operator with a conditional phase gate to enable distribution of arbitrary graph states with a universal local Z correction that works for any topology.
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
LC-inequivalent graph-state blocks in random Clifford circuits yield distinct entanglement velocities v_E and butterfly velocities v_B, correlated with internal entanglement distribution and graph connectivity.
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Graph-State Circuit Blocks control Entanglement and Scrambling Velocities
LC-inequivalent graph-state blocks in random Clifford circuits yield distinct entanglement velocities v_E and butterfly velocities v_B, correlated with internal entanglement distribution and graph connectivity.