A Geometry of entanglement and entropy
arxiv(2024)
摘要
This paper explores the fundamental relationship between the geometry of
entanglement and von Neumann entropy, shedding light on the intricate nature of
quantum correlations. We provide a comprehensive overview of entanglement,
highlighting its crucial role in quantum mechanics. Our focus centers on the
connection between entanglement, von Neumann entropy, a measure of the
information content within quantum systems and the geometry of composite
Hilbert spaces. We discuss various methods for quantifying and characterizing
entanglement through a geometric perspective and elucidate how this connection
unveils the nature of quantum entanglement, offering valuable insights into the
underlying structure of quantum systems. This study underscores the
significance of geometry as a key tool for understanding the rich landscape of
quantum correlations and their implications across various domains of physics
and information theory. An example of entanglement as an indispensable resource
for the task of state teleportation is presented at the end.
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