Log-depth circuits suffice for average-case single-copy stabilizer learning with t=O(log n), but worst-case adaptive single-copy learning requires exp(t) samples.
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Floquet engineering engineers time-hierarchical emergent local symmetries that restrict inter-sector couplings and create long-lived gauge sectors in U(1) lattice gauge theory simulations.
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Single-copy stabilizer learning: average case and worst case
Log-depth circuits suffice for average-case single-copy stabilizer learning with t=O(log n), but worst-case adaptive single-copy learning requires exp(t) samples.
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Protecting Quantum Simulations of Lattice Gauge Theories through Engineered Emergent Hierarchical Symmetries
Floquet engineering engineers time-hierarchical emergent local symmetries that restrict inter-sector couplings and create long-lived gauge sectors in U(1) lattice gauge theory simulations.