Quantum Entanglement Entropy in Quantum Information Theory
Jincheng Zhang
Abstract
This paper explores the concept and properties of multi-variable entanglement entropy (MVE), a refined measure of quantum entanglement complexity, and its application within the theoretical framework of quantum information theory. We introduce MVE as a tool to characterize the degree of entanglement in systems with multiple composite parts, moving beyond the limitations of single-variable entanglement entropy. The primary focus is on establishing relationships between MVE and key quantum information processing tasks, including quantum state discrimination and quantum channel capacity. We derive key formulas and analyze scenarios where MVE provides a more accurate and nuanced understanding of entanglement compared to traditional measures. Specifically, we examine the impact of correlations between subsystems on the overall entanglement level, offering insights into designing quantum algorithms and protocols. The research contributes a novel perspective to quantum information theory, offering a potential pathway for improved characterization and manipulation of quantum entanglement.