Tomita-Takesaki Modular Theory vs. Quantum Information Theory

2013/01/09 by Zhang, Lin, Wu, Junde
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1301.1836

Abstract

In this paper, we will try to find out the relationship between separating and cyclic vectors in the theory of von Neumann algebra and entangled states in the theory of quantum information. The corresponding physical interpretation is presented as well.

Related

• Modular Operators and Entanglement in Supersymmetric Quantum Mechanics
• Information and Entanglement Measures in Quantum Systems With Applications to Atomic Physics
• Von Neumann Quantum Logic vs. Classical von Neumann Architecture?
• Entanglement harvesting and curvature of entanglement: A modular operator approach
• The Significance of Information in Quantum Theory