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This paper proposes a novel variant of Grover amplitude amplification leveraging stabilizer and blade qubits to enhance robustness in constrained optimization problems. By providing geometric intuition and simulation results, the work addresses specific limitations in current quantum search algorithms for complex objective distributions. While formal performance bounds remain open for future study, this research advances foundational techniques applicable to near-term fault-tolerant quantum computing architectures.
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Phase-Selective Amplitude Amplification for Constrained Optimization

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arXiv:2607.18338v1 Announce Type: new Abstract: This work introduces a variant of Grover amplitude amplification using stabilizer and blade qubits to improve boosting robustness across objective distributions. We give geometric intuition, example simulations, and discuss limitations. Formal performance bounds and larger-scale validation are left for future research.

Abstract:This work introduces a variant of Grover amplitude amplification using stabilizer and blade qubits to improve boosting robustness across objective distributions. We give geometric intuition, example simulations, and discuss limitations. Formal performance bounds and larger-scale validation are left for future research.

arXiv:2607.18338 [quant-ph]

(or arXiv:2607.18338v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.18338 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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