TY - JOUR
T1 - Matrix Product States
T2 - Entanglement, Symmetries, and State Transformations
AU - Sauerwein, David
AU - Molnar, Andras
AU - Cirac, Ignacio
AU - Kraus, Barbara
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/10/25
Y1 - 2019/10/25
N2 - 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 local operations with a nonvanishing probability, a central question in entanglement theory. This induces a classification within this family of states, which we explicitly carry out for the simplest, nontrivial MPS. We also characterize all symmetries of translationally invariant MPS, both global and local (inhomogeneous). We illustrate our results with examples of states that are relevant in different physical contexts.
AB - 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 local operations with a nonvanishing probability, a central question in entanglement theory. This induces a classification within this family of states, which we explicitly carry out for the simplest, nontrivial MPS. We also characterize all symmetries of translationally invariant MPS, both global and local (inhomogeneous). We illustrate our results with examples of states that are relevant in different physical contexts.
UR - http://www.scopus.com/inward/record.url?scp=85074453426&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.123.170504
DO - 10.1103/PhysRevLett.123.170504
M3 - Article
C2 - 31702229
AN - SCOPUS:85074453426
SN - 0031-9007
VL - 123
JO - Physical Review Letters
JF - Physical Review Letters
IS - 17
M1 - 170504
ER -