2019/01/23 by David Sauerwein, Andras Molnar, J. Ignacio Cirac +1
Physics and Astronomy · #quant-ph #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.123.170504
published as Phys. Rev. Lett. 123, 170504 (2019) · 5 + 12 pages; 2 figures
arxiv created 2019/01/23 · arxiv updated 2019/10/30
We analyze entanglement in the family of translationally-invariant matrix product states (MPS). We give a criterion to determine when two states can be transformed into each other by SLOCC transformations, a central question in entanglement theory. We use that criterion to determine SLOCC classes, and explicitly carry out this classification for the simplest, non-trivial MPS. We also characterize all symmetries of MPS, both global and local (inhomogeneous). We illustrate our results with examples of states that are relevant in different physical contexts.