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Geometrically robust linear optics from non-Abelian geometric phases

Geometrically robust linear optics from non-Abelian geometric phases

Authors :
Julien Pinske
Stefan Scheel
Source :
Physical Review Research, Vol 4, Iss 2, p 023086 (2022)
Publication Year :
2022
Publisher :
American Physical Society, 2022.

Abstract

We construct a unified operator framework for quantum holonomies generated from bosonic systems. For a system whose Hamiltonian is bilinear in the creation and annihilation operators, we find a holonomy group determined only by a set of selected orthonormal modes obeying a stronger version of the adiabatic theorem. This photon-number independent description offers deeper insight as well as a computational advantage when compared to the standard formalism on geometric phases. In particular, a strong analogy between quantum holonomies and linear optical networks can be drawn. This relation provides an explicit recipe of how any linear optical quantum computation can be made geometrically robust in terms of adiabatic or nonadiabatic geometric phases.

Subjects

Subjects :
Physics
QC1-999

Details

Language :
English
ISSN :
26431564
Volume :
4
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Physical Review Research
Publication Type :
Academic Journal
Accession number :
edsdoj.2be2fb2d4ae14fd08a54f9d91ec84149
Document Type :
article
Full Text :
https://doi.org/10.1103/PhysRevResearch.4.023086