QSPADE defines a smooth, temperature-controlled spectral anomaly detector on the average quantum state that recovers hard PCA scores in the zero-temperature limit and calibrates with dimension-independent sample complexity.
Apply a Hadamard gate to the control, apply the controlled unitary Uω :=e itωC/T (VI.19) on the data register, apply the phase θω(µ) :=φ ω − µtω T (VI.20) to the control qubit
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Quantum Spectral Anomaly Detection
QSPADE defines a smooth, temperature-controlled spectral anomaly detector on the average quantum state that recovers hard PCA scores in the zero-temperature limit and calibrates with dimension-independent sample complexity.