On tensor network representations of the (3+1)d toric code

Clement Delcamp; Norbert Schuch

doi:10.22331/q-2021-12-16-604

Titel

On tensor network representations of the (3+1)d toric code

Autor*in

Clement Delcamp

Max-Planck-Institut für Quantenoptik

Norbert Schuch

Fakultät für Physik, Universität Wien

Abstract

We define two dual tensor network representations of the (3+1)d toric code ground state subspace. These two representations, which are obtained by initially imposing either family of stabilizer constraints, are characterized by different virtual symmetries generated by string-like and membrane-like operators, respectively. We discuss the topological properties of the model from the point of view of these virtual symmetries, emphasizing the differences between both representations. In particular, we argue that, depending on the representation, the phase diagram of boundary entanglement degrees of freedom is naturally associated with that of a (2+1)d Hamiltonian displaying either a global or a gauge Z2-symmetry.

Stichwort

Physics and Astronomy (miscellaneous)Atomic and Molecular Physics, and Optics

Objekt-Typ

journal article

Sprache

Englisch [eng]

Persistent identifier

phaidra.univie.ac.at/o:1596072

DOI

10.22331/q-2021-12-16-604

Erschienen in

Titel