Mapping between Morita-equivalent string-net states with a constant depth quantum circuit

Autor(en)

Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch, Frank Verstraete

Abstrakt

We construct a constant depth quantum circuit that maps between Morita-equivalent string-net models. Due to its constant depth and unitarity, the circuit cannot alter the topological order, which demonstrates that Morita-equivalent string nets are in the same phase. The circuit is constructed from an invertible bimodule category connecting the two input fusion categories of the relevant string-net models, acting as a generalized Fourier transform for fusion categories. The circuit not only acts on the ground state subspace but also acts unitarily on the full Hilbert space when supplemented with ancillas.

Organisation(en)

Institut für Mathematik, Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University

Journal

Physical Review B

Band

105

Anzahl der Seiten

12

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.105.085130

Publikationsdatum

02-2022

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103015 Kondensierte Materie

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d5d29b44-d2b7-4bda-86a2-4c0c9e7bdbbd