n-bit anticoncentrated distributions can be generated from O(log n) qubits via a holographic protocol of interleaved random unitaries and mid-circuit measurements.
t 1−d −1 B +d −t B −1 dA +O 1 d2 A # .(C24) Therefore, the asymptotic form ofZHRCS(t)becomes ZHRCS(t) =Z H(Neff) exp
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Anticoncentrated $n$-bit distribution from $\log(n)$ qubits
n-bit anticoncentrated distributions can be generated from O(log n) qubits via a holographic protocol of interleaved random unitaries and mid-circuit measurements.