Fig. 2: Stabilizer Rényi entropy evolution in qubit circuits. | Nature Communications

Fig. 2: Stabilizer Rényi entropy evolution in qubit circuits.

From: Magic spreading in random quantum circuits

Fig. 2: Stabilizer Rényi entropy evolution in qubit circuits.The alternative text for this image may have been generated using AI.

a The SRE M2 abruptly saturates to \({M}_{2}^{{{{\rm{Haar}}}}}\). b The difference \(\Delta {M}_{2}={M}_{2}^{{{{\rm{Haar}}}}}-{M}_{2}\) approaches exponential decay \(\Delta {M}_{2}\propto N{e}^{-{\alpha }_{2,2}t}\), where α2,2 = 0.43(3), see the inset. The annealed average \({\tilde{M}}_{2}\) obtained via (9) (denoted “TN'') and the quenched average \({\overline{M}}_{2}\) (denoted “ED'') coincide within the error bars already for N = 8.

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