Introduces HRSE model and ASDT algorithm for quantum oracle optimization, achieving 53.99% circuit depth reduction compared to state-of-the-art W-cycle approach through adaptive space-depth trade-offs.

#QuantumOracles #QuantumCircuitOptimization #Research

Proves optimal value-readout probability in response-register quantum oracles is exactly the normalized Rényi-1/2 effective Fourier support of the response state. Establishes tight phase-value complementarity with explicit saturating states.

#QuantumOracles #QuantumAlgorithms #Research

New quantum oracle realizes Õ(√k/ε) speedup for sequential decision planning via coherent rank-select indexing—a near-quadratic quantum advantage over classical Ω(k/ε²) bounds.

#QuantumAlgorithms #QuantumOracles #Research