Further results on 3-spontaneous emission error designs

DOI10.1016/J.DISC.2018.07.022zbMath1408.94992OpenAlexW2885381134MaRDI QIDQ1783618

Junling Zhou, Yan Xun Chang

Publication date: 21 September 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.07.022

zbMATH Keywords

\(t\)-designderived designleavespontaneous emission error design\(t\)-packing

Mathematics Subject Classification ID

Applications of graph theory (05C90) Quantum computation (81P68) Combinatorial aspects of finite geometries (05B25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial codes (94B25)

Cites Work

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• Extremal properties of \(t\)-SEEDs and recursive constructions
• A completion of \(LS(2^n4^1)\)
• Large sets of disjoint packings on \(6k+5\) points
• On large sets of disjoint Steiner triple systems. IV
• On large sets of disjoint Steiner triple systems. III
• A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems
• A new class of designs which protect against quantum jumps
• Bounds and constructions of \(t\)-spontaneous emission error designs
• Bounds on the Dimensions of 2-Spontaneous Emission Error Designs
• More results on perfect (3,3,6k + 4; 6k − 2)-threshold schemes
• Existence of large sets of disjoint group‐divisible designs with block size three and type 2ⁿ4¹

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