Single-ancilla approximate block encoding of A = sum alpha_j H_j is achieved via generalized quantum signal processing applied to Hamiltonian simulation, yielding near-optimal depth with one or O(log log(1/epsilon)) ancilla.
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Low-ancilla block encodings via Hamiltonian simulation
Single-ancilla approximate block encoding of A = sum alpha_j H_j is achieved via generalized quantum signal processing applied to Hamiltonian simulation, yielding near-optimal depth with one or O(log log(1/epsilon)) ancilla.