Work

Local Jordan-Wigner transformations and topological sectors on the torus

Year: 2025

Type: article

Abstract: We present a locality preserving unitary mapping from fermions to qubits on a two-dimensional torus while accounting for the mapping of topological sectors. Extending the work of Shukla [], an explicit intertwiner is constructed in the form of a projected entangled pair operator. By encoding the information about the charge sectors (and if applicable the twisted boundary conditions) in ancillary qubit(s), the intertwiner becomes a unitary operator which exchanges boundary conditions and charge sectors.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.111.115126

Authors: Oliver O'Brien, Laurens Lootens, Frank Verstraete

Institutions: University of Cambridge, Ghent University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: European Orthodontic Society, Fonds Wetenschappelijk Onderzoek, Vlaamse regering

Awards: G1423675079, G4439541347, Creating highly entangled quantum states in the NISQ era (CHEQS)., Generalized symmetry and duality: intertwined through entanglement, G562246749