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Quantum-Inspired Bayesian Optimization for Complex Parameter Tuning

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

Quantum-Inspired Bayesian Optimization (QIBO) represents a paradigm shift in parameter tuning, moving beyond traditional optimization techniques to incorporate the principles of quantum mechanics. This paper investigates the application of QIBO to complex systems, specifically focusing on optimizing intricate parameter settings that exhibit inherent, non-linear relationships. We propose a novel algorithm that utilizes quantum-inspired concepts – specifically, a modified Monte Carlo integration – to enhance exploration and reduce variance, leading to more efficient and robust parameter estimations. The study will demonstrate the effectiveness of QIBO in tuning a challenging system involving a high-dimensional parameter space, highlighting its potential to surpass existing methods in terms of speed and accuracy.

DOI
10.5281/zenodo.22203975

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Bayesian Optimization (BO) is a powerful technique for optimizing black-box functions, particularly effective in scenarios with expensive evaluations. However, its performance often degrades significantly in high-dimensional search spaces, a phenomenon known as the "curse of dimensionality." This paper introduces a novel Bayesian Optimization framework termed Quantum-Inspired Bayesian Optimization (QIBO) that addresses this limitation by leveraging concepts from quantum mechanics, specifically entanglement, to structure the search space. QIBO models the search space as an entangled quantum system, where updates to individual parameters are constrained through Bell inequality-inspired mechanisms. This promotes correlated exploration and exploitation, leading to potentially faster convergence and improved performance compared to traditional BO. We formulate the optimization problem as a quantum state evolution governed by the Bell inequalities, and demonstrate its efficacy through theoretical analysis and conceptual examples, highlighting the potential for QIBO to overcome the challenges posed by high-dimensional search spaces. The key contribution lies in the strategic introduction of entanglement to guide the search process, moving beyond purely independent updates often found in standard BO.
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Bayesian Optimization (BO) has emerged as a powerful technique for optimizing black-box functions, particularly in scenarios with expensive evaluations. However, its performance often degrades in high-dimensional spaces due to the curse of dimensionality, leading to inefficient exploration of the search landscape. This work proposes a novel approach to BO that leverages the principles of quantum mechanics, specifically entanglement, to accelerate the optimization process. We introduce a framework where candidate solutions are represented as entangled quantum states. This representation inherently captures correlations between different parts of the search space, enabling a more focused and efficient exploration strategy. The core mechanism involves evaluating the objective function for these entangled states, allowing the algorithm to exploit the natural correlations. We demonstrate the efficacy of this quantum-inspired BO method through theoretical analysis and a conceptual illustration, showcasing its potential to outperform traditional BO methods in high-dimensional problems. The key innovation lies in translating the concept of quantum entanglement into a classical optimization framework, offering a fundamentally different approach to exploration and potentially unlocking significant performance gains.
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