English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We determine the local symmetries and local transformation properties oftranslationally invariant matrix product states (MPS). We focus on physicaldimension $d=2$ and bond dimension $D=3$ and use the procedure introduced in D.Sauerwein et al., Phys. Rev. Lett. 123, 170504 (2019) to determine all(including non--global) symmetries of those states. We identify and classifythe stochastic local transformations (SLOCC) that are allowed among MPS. Wescrutinize two very distinct sets of MPS and show the big diversity (alsocompared to the case $D=2$) occurring in both, their symmetries and thepossible SLOCC transformations. These results reflect the variety of localproperties of MPS, even if restricted to translationally invariant states withlow bond dimension. Finally, we show that states with non-trivial localsymmetries are of measure zero for $d = 2$ and $D > 3$.

Symmetries and local transformations of translationally invariant Matrix Product States