A new class of designs which protect against quantum jumps

DOI10.1023/A:1024188005329zbMath1033.94020OpenAlexW10158150MaRDI QIDQ1404315

Thomas Beth, Gernot Alber, Christopher Charnes, Markus Grassl, Michael Mussinger, Aldo Delgado

Publication date: 21 August 2003

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024188005329

zbMATH Keywords

finite geometriesquantum error correctionblock designsquantum informationquantum computerisodual codesjump codes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of finite geometries (05B25) Other types of codes (94B60) Quantum coding (general) (81P70)

Related Items (18)

Bounds and constructions of \(t\)-spontaneous emission error designs ⋮ 2-\((v,5;m)\) spontaneous emission error designs ⋮ Partitions of the lines in \(\mathrm{PG}( 2 n - 1, s)\) into multifold spreads for \(s = 3, 4\) ⋮ Mutually disjoint \(t\)-designs and \(t\)-SEEDs from extremal doubly-even self-dual codes ⋮ Extremal properties of \(t\)-SEEDs and recursive constructions ⋮ A construction of optimal 1-spontaneous emission error designs ⋮ Unifying some known infinite families of combinatorial 3-designs ⋮ New lower bounds on 2-spontaneous emission error designs ⋮ Error-correcting codes and cryptography ⋮ \(5\)-SEEDs from the lifted Golay code of length \(24\) over \(\mathbb{Z}_4\) ⋮ Mutually Disjoint 5‐Designs and 5‐Spontaneous Emission Error Designs from Extremal Ternary Self‐Dual Codes ⋮ Combinatorial aspects of jump codes ⋮ A decomposition of the 2-design formed by the planes in \(AG(2n, 3)\) ⋮ Further results on 3-spontaneous emission error designs ⋮ Nonexistence of some quantum jump codes with specified parameters ⋮ 3-Spontaneous Emission Error Designs from PSL(2, q)or PGL(2, q) ⋮ Bounds on the Dimensions of 2-Spontaneous Emission Error Designs ⋮ Mutually disjoint 5-designs from Pless symmetry codes

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