Matrix Product States with long-range Localizable Entanglement
Thorsten B. Wahl, David Perez-Garcia, J. Ignacio Cirac
TL;DR
This paper establishes a criterion for identifying when translationally invariant matrix product states possess long-range localizable entanglement, providing a complete classification for low bond dimensions.
Contribution
It introduces a new criterion for long-range localizable entanglement in MPS and classifies all such states with bond dimensions 2 and 3.
Findings
Derived a criterion for long-range localizable entanglement in MPS
Classified all MPS with bond dimension 2 and 3 exhibiting this property
Provided examples fulfilling the criterion
Abstract
We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the thermodynamic limit. We give examples fulfilling this criterion and eventually use it to obtain all such MPS with bond dimension 2 and 3.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.