n-bit anticoncentrated distributions can be generated from O(log n) qubits via a holographic protocol of interleaved random unitaries and mid-circuit measurements.
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The spin-zero manifold of exchange-coupled spins offers Catalan-number dimension near 2^N and can be benchmarked with adapted XEB, mirror RB, and OTOCs under coarse PSB readout.
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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.
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Spin singlets are useful
The spin-zero manifold of exchange-coupled spins offers Catalan-number dimension near 2^N and can be benchmarked with adapted XEB, mirror RB, and OTOCs under coarse PSB readout.