Entanglement, Renormalization and AdS/CFT Correspondence(Quantum Realm-Nonlocal Correlation and Uncertainty-)

Abstract

Entanglement entropy has attracted renewed interest in the fields of quantum field theory, quantum gravity and quantum information theory after the discovery of the holographic formula based on the AdS/CFT correspondence. The similarity between the formula and tensor network representation of quantum many-body system implies that holographic geometry can be interpreted as a renormalization of entanglement. In this article, recent progress on entanglement entropy and its role are reviewed from various perspectives.