Recursive encoding and decoding of the noiseless subsystem for qudits

Utkan Güngördü, Chi Kwong Li, Mikio Nakahara, Yiu Tung Poon, Nung Sing Sze

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

We give a full explanation of the noiseless subsystem that protects a single qubit against collective errors and the corresponding recursive scheme described by C.-K. Li et al. [Phys. Rev. A 84, 044301 (2011)PLRAAN1050-294710. 1103/PhysRevA.84.044301] from a representation theory point of view. Furthermore, we extend the construction to qudits under the influence of collective SU(d) errors. We find that under this recursive scheme, the asymptotic encoding rate is 1/d.
Original languageEnglish
Article number042301
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number4
DOIs
Publication statusPublished - 2 Apr 2014

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this