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quant-ph2026

Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search

Zhijian Lai, Dong An, Jiang Hu +1

Grover's algorithm is a fundamental quantum algorithm that achieves a quadratic speedup for unstructured search problems of size . Recent studies have reformulated this task as…

quant-ph2026

A Grover-compatible manifold optimization algorithm for quantum search

Zhijian Lai, Dong An, Jiang Hu +1

Grover's algorithm is a fundamental quantum algorithm that offers a quadratic speedup for the unstructured search problem by alternately applying physically implementable oracle an…

quant-ph2026

Quantum Grover Adaptive Search for Discrete Simulation Optimization

Mingjie Hu, Jian-qiang Hu, Enlu Zhou

Quantum computing has advanced rapidly in recent years and has shown advantages in a variety of domains. In this paper, we investigate its potential for discrete simulation optimiz…

quant-ph2025

Extended parameter shift rules with minimal derivative variance for parameterized quantum circuits

Zhijian Lai, Jiang Hu, Dong An +1

Parameter shift rules (PSRs) are useful methods for computing arbitrary-order derivatives of the cost function in parameterized quantum circuits. The basic idea of PSRs is to evalu…

quant-ph2025

Interpolation-based coordinate descent method for parameterized quantum circuits

Zhijian Lai, Jiang Hu, Taehee Ko +2

Parameterized quantum circuits (PQCs) are ubiquitous in the design of hybrid quantum-classical algorithms. In this work, we propose an interpolation-based coordinate descent (ICD)…