Variational optimization of shallow probes and decoders for structured phase estimation in small qubit arrays approaches entanglement-enhanced precision bounds for both uniform and weighted encodings.
One qubit has unit weight while the remaining N − 1 qubits have αi = 0.5: S = 1 + 0.5 (N − 1) = N + 1 2 , ∥⃗ α∥2 = 1 + N − 1 4 = N + 3 4
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Variational Probe and Measurement Optimization for Structured Phase Estimation
Variational optimization of shallow probes and decoders for structured phase estimation in small qubit arrays approaches entanglement-enhanced precision bounds for both uniform and weighted encodings.