A reduction from weak agnostic learning of class C to efficient tomography of states with bounded l1-extent w.r.t. C, with a concrete algorithm for stabilizer states running in poly(n, (ξ/ε)^log(ξ/ε)) time.
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A general framework and query-efficient algorithms for learning structured quantum unitaries based on Pauli spectrum support on small subgroups or sparsity, unifying prior results for multiple circuit classes.
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Tomography of quantum states with bounded extent
A reduction from weak agnostic learning of class C to efficient tomography of states with bounded l1-extent w.r.t. C, with a concrete algorithm for stabilizer states running in poly(n, (ξ/ε)^log(ξ/ε)) time.
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Efficient Learning of Structured Quantum Circuits via Pauli Dimensionality and Sparsity
A general framework and query-efficient algorithms for learning structured quantum unitaries based on Pauli spectrum support on small subgroups or sparsity, unifying prior results for multiple circuit classes.