Quantum-Enhanced Geometric Probability Density Estimation
Jincheng Zhang
Abstract
This paper presents a novel approach to probability density estimation leveraging quantum entanglement. We propose a method wherein entangled particles are utilized to create a correlated probabilistic field, effectively acting as a quantum sensor. This sensor allows for the calculation of highly accurate probabilities with a dramatically reduced computational cost compared to conventional methods. The core mechanism centers around establishing a strong correlation between the entangled particles, allowing for the quantification of complex probability distributions with unparalleled precision. The resulting system offers a significant advantage in terms of efficiency and accuracy, potentially revolutionizing probabilistic modeling across various fields. The paper details the theoretical framework, experimental setup, and preliminary results demonstrating the efficacy of this quantum-enhanced approach.