Year: 2023
Type: preprint
Abstract: We describe a quantum error-detecting and error-correcting code embedded within irreducible representations of SU(3). These logical qutrits inherit the He(3) symmetries induced by the representation, while protecting against small SU(3) displacements. We explore the general methodology for finding codes from structure-inducing representations of groups, together with symmetries inherited from finite subgroups, extending the case of spin representations of SU(2).
Source: arXiv (Cornell University)
Authors: Herbert, Xzavier, Gross, Jonathan, Newman, Michael
Institutions: Massachusetts Institute of Technology, Google (United States)
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4389325515