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Quantum codes in the Lee metric YZNK67K060

URIm2://res/YZNK67K060
Kindpreprint
CreatorsJinkang Guo, Yiqiu Han, Aranya Chakraborty, Shubham P. Jain, Tianhao Liu, Victor V. Albert, Andrew Lucas
Date2026-10-04
Subjectsarxiv quant-ph, arxiv cs.IT, arxiv math.CO, arxiv math.IT, arxiv math.MG
Scopeout

Expressions

e1: version, preprint

Date2026-10-04
IdsarXiv 2610.04834

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
No superlinear energy barrier for quantum CSS Lee-LDPC codesstatementtheorem 7.7arxiv
Distance of qubitized stabilizer codesstatementtheorem 6.3arxiv
4875G724GCstatementlemma 4.1arxiv
Typical sets from the Shannon--McMillan--Breiman theoremstatementlemma 10.3arxiv
Logical decomposition of integer-compatible CSS codesstatementproposition 7.3arxiv
Quantum CSS code in the Lee metricdefinitiondefinition 4.4arxiv
Ruelle--Perron--Frobenius asymptoticsstatementlemma 10.1arxiv
Short noncommuting witnesses in quantum non-CSS Lee-LDPC codesstatementtheorem 7.4arxiv
Lifted-Hamming toric code: a stack of toric codes enriched by translationexampleexample 7.10arxiv
80MYA7JSK9statementlemma 6.1arxiv
Small barrier from an integer codewordstatementlemma 7.6arxiv
96BVQR16NXexampleexample 8.7arxiv
Classical linear code on $\mathbb{Z}_q$definitiondefinition 4.1arxiv
Perfect single-qudit code on $\mathbb{Z}_{10}$exampleexample 3.2arxiv
Soundness and confinement in invertible-$H$ codesstatementproposition 8.1arxiv
Perfect two-qudit CSS codesexampleexample 4.7arxiv
CJ7A5N0H0Estatementcorollary 7.4arxiv
Gray images of $\mathbb{Z}_4$ Clifford gatesstatementtheorem 6.2arxiv
DQDECFEQ37statementproposition 7.2arxiv
Exponentially large memory time for $Z$ errors in mixed-boundary helical HGP codesstatementproposition 8.4arxiv
ENBP46QF4Fstatementlemma 6.4arxiv
Exponentially large memory time of the PBC helical codestatementproposition 8.3arxiv
Perfect two-qudit family on $\mathbb{Z}_{3m}$exampleexample 3.4arxiv
Semi-self-dual codes qubitize without lossstatementcorollary 6.6arxiv
Perfect $n$-qudit CSS codesexampleexample 4.8arxiv
Codespace of classical codesstatementproposition 4.2arxiv
G4G8CGEH4Nstatementcorollary 8.2arxiv
Arbitrarily high-temperature memory for open-boundary helical repetition codesstatementproposition 8.5arxiv
Quantum stabilizer code in the Lee metricdefinitiondefinition 3.1arxiv
Codespace of a quantum CSS code on $\mathbb{Z}_q$statementtheorem 4.5arxiv
Quantum Reed--Solomon code on $\mathbb{Z}_5$exampleexample 4.11arxiv
Distance of qubitized CSS codesstatementtheorem 6.5arxiv
Hypergraph product codedefinitiondefinition 7.9arxiv
Short noncommuting witnesses in quantum Lee-LDPC codesstatementtheorem 7.8arxiv
Lee vs.\ Hamming weightdefinitiondefinition 2.1arxiv
Gray dictionarystatementlemma 6.1arxiv
Perfect six-qudit code on $\mathbb{Z}_5$exampleexample 3.3arxiv
Transversal Clifford gates on the $\mathbb{Z}_5$ Reed--Solomon codeexampleexample 5.3arxiv
PJNYDGF1Q0statementproposition 7.12arxiv
When the qubitized code is a stabilizer codestatementproposition 6.7arxiv
Q0AC7RM72Qstatementlemma 6.2arxiv
Quantum non-CSS Lee-LDPC codedefinitiondefinition 7.1arxiv
Free/torsion decomposition with short torsion representativesstatementlemma 7.3arxiv
Helical repetition code $H(a,-b)$definitiondefinition 7.11arxiv
T2BXGJ93WNstatementproposition 7.5arxiv
Qubitizing the smallest quartrit codeexampleexample 6.4arxiv
TETZADA4YKstatementproposition 8.8arxiv
Fault-tolerant gates on perfect two-qudit CSS codesexampleexample 5.4arxiv
Column formula for the spreadstatementlemma 5.2arxiv
Exponentially large memory time for $Z$ errors in open-boundary helical HGP codesstatementproposition 8.6arxiv
Discrete GKP/torus codeexampleexample 4.6arxiv
Lifted Hamming codesexampleexample 4.9arxiv
XF3ESHRY71statementproposition 7.2arxiv
XMMQ2BR809statementproposition 4.3arxiv
Y7145ECB2Qstatementlemma 10.4arxiv
Quantum Lee-LDPC codedefinitiondefinition 7.1arxiv
Lee error spreaddefinitiondefinition 5.1arxiv
Lifted Golay codesexampleexample 4.10arxiv
Z4DRQ5NNT2statementlemma 10.2arxiv
ZGNWJHH95Ystatementlemma 6.3arxiv
Exact CSS/GKP correspondencestatementproposition 4.12arxiv

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