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Conference Paper
Quantization-based Optimization with Perspective of Quantum Mechanics
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- Authors
- Jinwuk Seok, Changsik Cho
- Issue Date
- 2023-10
- Citation
- International Conference on Information and Communication Technology Convergence (ICTC) 2023, pp.177-180
- Publisher
- IEEE
- Language
- English
- Type
- Conference Paper
- Abstract
- Statistical and stochastic analysis based on thermodynamics has been the main analysis framework for stochastic global optimization. Recently, with the appearance of quantum annealing or quantum tunneling algorithms for global optimization, we require a new research framework for global optimization algorithms. In this paper, we provide the analysis for quantization-based optimization based on the Schrödinger equation to reveal what property in quantum mechanics enables global optimization. We present that the tunneling effect derived by the Schrödinger equation in quantization-based optimization enables to escape of a local minimum. Additionally, we confirm that this tunneling effect is the same property included in quantum mechanics-based global optimization. Experiments with standard multi-modal benchmark functions represent that the proposed analysis is valid.
- KSP Keywords
- Benchmark functions, Multi-modal, Optimization algorithm, Quantum mechanics, Research Framework, Stochastic global optimization, Tunneling effect, analysis framework, local minimum, quantum annealing, quantum tunneling