Quantization-based Optimization with Perspective of Quantum Mechanics
Statistical and stochastic analysis based on thermodynamics has been the main analysis framework for stochastic global optimization. Recently, appearing quantum annealing or quantum tunneling algorithm for global optimization, we require a new researching framework for global optimization algorithms. In this paper, we provide the analysis for quantization-based optimization based on the Schr\"odinger equation to reveal what property in quantum mechanics enables global optimization. We present that the tunneling effect derived by the Schr\"odinger 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.
Code (0)
등록된 구현이 없습니다.
Tasks
global-optimizationQuantizationvalidSimilar Papers 제목 키워드 기반
On Noncommutative Quantum Mechanics and the Black-Scholes Model
Two novel and direct quantum mechanical representations of the Black-Scholes model are constructed based on the (Wick-rotated) quantization of two specific mechanical systems. The quantum setup is achieved by means of th…
QuantizationIntuitive Analysis of the Quantization-based Optimization: From Stochastic and Quantum Mechanical Perspective
In this paper, we present an intuitive analysis of the optimization technique based on the quantization of an objective function. Quantization of an objective function is an effective optimization methodology that decrea…
global-optimizationQuantizationNeural Network Emulation of the Classical Limit in Quantum Systems via Learned Observable Mappings
The classical limit of quantum mechanics, formally investigated through frameworks like strict deformation quantization, remains a profound area of inquiry in the philosophy of physics. This paper explores a computationa…
PhilosophyQuantizationExploring Cognitive Paradoxes in Video Games: A Quantum Mechanical Perspective
This paper introduces a quantum-mechanical model that bridges the realms of cognition and quantum mechanics, offering a novel perspective on decision-making under risk and perceptual reversals. By integrating quantum the…
Decision MakingFermi-Dirac machines as quantizations of neurons
Fermi-Dirac machines were proposed recently as an approach to solving semidefinite optimization problems on quantum computers. Here, we reinterpret them as canonical quantizations of classical neurons. By viewing a class…