Recursive encoding and decoding of the noiseless subsystem for qudits

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

doi:10.1103/PhysRevA.89.042301

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 publication › Journal article › Academic research › peer-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 language	English
Article number	042301
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	89
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.89.042301
Publication status	Published - 2 Apr 2014

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.89.042301

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AU - Sze, Nung Sing

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AB - 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.

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Recursive encoding and decoding of the noiseless subsystem for qudits

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