5 papers
Oddities in the Entanglement Scaling of the Quantum Six-Vertex Model
Sunny Pradhan, Jesús Cobos, Enrique Rico +1
We investigate the entanglement properties of the Quantum Six-Vertex Model on a cylinder, focusing on the Shannon-Renyi entropy in the limit of Renyi order . This entro…
The hyperlink representation of entanglement and the inclusion-exclusion principle
Silvia N. Santalla, Sudipto Singha Roy, Germán Sierra +3
The entanglement entropy (EE) of any bipartition of a pure state can be approximately expressed as a sum of entanglement links (ELs). In this work, we introduce their exact extensi…
Matrix product states as thin torus limits of conformal correlators
Adrián Franco-Rubio, J. Ignacio Cirac, Germán Sierra
We introduce one-parameter families of spin chain ansatz wavefunctions constructed from chiral conformal field theory correlators on a torus, with the modular parameter servin…
Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations
José Garre-Rubio, András Molnár, Germán Sierra
We introduce a framework to define coalgebra and bialgebra structures on two-dimensional (2D) square lattices, extending the algebraic theory of Hopf algebras and quantum groups be…
Kramers-Wannier self-duality and non-invertible translation symmetry in quantum chains: a wave-function perspective
Hua-Chen Zhang, Germán Sierra
The Kramers-Wannier self-duality of critical quantum chains is examined from the perspective of model wave functions. We demonstrate, using the transverse-field Ising chain and the…