Pith. sign in

REVIEW 1 cited by

A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv quant-ph/9604038 v2 pith:OUWTO2SK submitted 1996-04-29 quant-ph

Daniel Gottesman This is my paper · ORCID
classification quant-ph
keywords codesquantumboundclasserror-correctinghammingmethodsqubits
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode $k=n-j-2$ qubits in $n=2^j$ qubits and correct $t=1$ error.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Celestial Quantum Error Correction II: From Qudits to Celestial CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    A GKP-style qudit code on a chain embedded in Klein spacetime is shown to flow, in the continuum limit, to a celestial CFT whose logical states carry quantized supertranslation hair protected from soft graviton errors.

Pith tools