EPJ

2024 Impact factor 2.2
EPJ E - Soft Matter and Biological Physics
Soft Matter and Biological Physics

EPJ B Colloquium - Tensor network theory

Details
Published on 01 December 2014
Entropy of a 1d MERA: the number of links to cut in order to disconnect the L physical indices in the block form the rest of the system grows logarithmically with L, hence S(L) = O(log L). This is an example of an area-law in holographic space.

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

All news
Editors-in-Chief
F. Croccolo, G. Fragneto and H. Stark
Submit your Paper
My co-author [...] and I have carefully examined the new proofs. They look fantastic, and we greatly appreciate the expert work of the Production Office staff [...]

Jane E.G. Lipson, Department of Chemistry, Dartmouth College, Hanover, NH, USA

More testimonials
ISSN (Print Edition): 2429-5299
ISSN (Electronic Edition): 2725-3090

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag

Conference announcements