Title: Metric-Based Quantum Entanglement Measurement
Jincheng Zhang
Abstract
Quantum entanglement is a cornerstone of quantum mechanics, exhibiting correlations that defy classical intuition. However, accurately measuring entanglement remains a significant challenge due to its inherent fragility and sensitivity to environmental noise. This paper explores a novel method for entanglement measurement based on metric-based quantum states, aiming to overcome limitations of existing techniques. We propose a continuous metric representation to quantify entanglement, offering improved accuracy and reduced noise compared to traditional methods. This work represents a fundamental shift in measurement, providing a robust and independent technique for characterizing entangled systems. The core mechanism involves utilizing a continuous metric to represent the entanglement, leading to enhanced fidelity and reduced susceptibility to decoherence. The paper details the mathematical framework underpinning this approach, including the definition of the metric, its properties, and the implementation of the measurement protocol. We then present preliminary results demonstrating the effectiveness of this method across a range of entangled systems, highlighting its potential for advancing quantum measurement capabilities.