Through a six-month operational deployment with law enforcement agencies, this study introduces the Quantum Threat Detection Model (QTDM), a groundbreaking hybrid quantum-classical framework that exhibits quantifiable quantum advantage in counter-narcotics cybersecurity. The framework integrates NISQ-era quantum processors with dynamic workload partitioning and quantum kernel techniques to overcome significant constraints of conventional AI systems in the analysis of encrypted dark web transactions. Three groundbreaking contributions are shown via empirical validation: (1) 94.3% (±1.2%) classification accuracy for dark web drug transactions, which is 5.8 times faster than traditional GPU clusters in processing encrypted data; (2) finding a 10-qubit performance plateau and a 0.5% error rate threshold, which establishes ideal boundaries for resource allocation in NISQ-era implementations; and (3) the first GDPR/CCPA-aligned ethical governance protocol for quantum-powered surveillance, which includes algorithmic bias monitoring and quantum warrant procedures. Operational findings include 76% early detection rate for synthetic opioids, 92% adversarial resistance against GAN-generated o
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