A094927 Number of nonisomorphic (possibly decomposable) self-dual quantum codes on n qubits.

1, 2, 3, 6, 11, 26, 59, 182, 675, 3990, 45144, 1323363

Offset

1,2

Comments

Also number of nonisomorphic (indecomposable or decomposable) self-dual codes of Type 4^H+ and length n.

References

L. E. Danielsen and M. G. Parker, On the classification of all self-dual additive codes over GF(4) of length up to 12, Preprint 2005.

Links

Table of n, a(n) for n=1..12.

Lars Eirik Danielsen and Matthew G. Parker, Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with respect to the {I,H,N}^n Transform, (2005), arxiv:cs/0504102. In Sequences and Their Applications-SETA 2004, Lecture Notes in Computer Science, Volume 3486/2005, Springer-Verlag. [Added by N. J. A. Sloane, Jul 08 2009]

Anatoly Dymarsky and Alfred Shapere, Quantum stabilizer codes, lattices, and CFTs, arXiv:2009.01244 [hep-th], 2020.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Crossrefs

See A090899 for more information. Cf. also A110302, A110306.

Sequence in context: A324765 A208602 A051603 * A024423 A115114 A356715

Adjacent sequences: A094924 A094925 A094926 * A094928 A094929 A094930

Keyword

nonn

Author

Lars Eirik Danielsen (larsed(AT)ii.uib.no) and Matthew G. Parker (matthew(AT)ii.uib.no), Jun 17, 2004.

Status

approved