- Published on 01 December 2014
Tensor Network (TN) states are a new language, based on entanglement, for quantum many-body states. Román Orús, in a new EPJ B Colloquium, reviews four theoretical developments in TN states for strongly correlated systems.
Specifically, the author considers the effect of symmetries in TN states, fermionic TNs, and the calculation of entanglement Hamiltonians from Projected Entangled Pair States (PEPS). He also examines the relationship between the Multi-scale Entanglement Renormalisation Ansatz (MERA) and the Anti-de Sitter space/Conformal Field Theory (AdS/CFT) or gauge/gravity duality.
The emphasis is on the role of entanglement in the emergence of several physical properties and objects throughout the TN literature, and on some recent results along these lines.
Román Orús (2014),
Advances on tensor network theory: symmetries, fermions, entanglement, and holography,
European Physical Journal B, DOI: 10.1140/epjb/e2014-50502-9