Maximal rank of extremal marginal tracial states

Abstract

States on coupled quantum system whose restrictions to each subsystems are normalized traces are called marginal tracial states. We investigate extremal marginal tracial states and maximal rank of such states. Diagonal marginal tracial states are also considered.

arXiv comment10 pages

References in corpus (3)

• On extremal quantum states of composite systems with fixed marginals
• The probability of entanglement
• Extremal marginal tracial states in coupled systems

Cited by in corpus (3)

• Quantum Monge-Kantorovich problem and transport distance between density matrices
• Extreme Points and Factorizability for New Classes of Unital Quantum Channels
• On the rank of extremal marginal states