A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces

Calderbank, A. R. and Hardin, R. H. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A. (1999) A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces. Journal of Algebraic Combinatorics, 9 (2). pp. 129-140. ISSN 0925-9899. doi:10.1023/A:1018673825179. https://resolver.caltech.edu/CaltechAUTHORS:20171003-094225780

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Abstract

By using totally isotropic subspaces in an orthogonal space Ω+ (2i, 2), several infinite families of packings of 2^k-dimensional subspaces of real 2i-dimensional space are constructed, some of which are shown to be optimal packings. A certain Clifford group underlies the construction and links this problem with Barnes-Wall lattices, Kerdock sets and quantum-error-correcting codes.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1023/A:1018673825179	DOI	Article
https://link.springer.com/article/10.1023%2FA%3A1018673825179	Publisher	Article
http://rdcu.be/wqns	Publisher	Free ReadCube access
https://arxiv.org/abs/math/0208002	arXiv	Discussion Paper

Additional Information:

Subject Keywords:

Grassmannian packings; quantum computing; orthogonal geometry; Clifford group

Issue or Number:

DOI:

10.1023/A:1018673825179

Record Number:

CaltechAUTHORS:20171003-094225780

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20171003-094225780

Official Citation:

Calderbank, A., Hardin, R., Rains, E. et al. Journal of Algebraic Combinatorics (1999) 9: 129. https://doi.org/10.1023/A:1018673825179

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

81983

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

03 Oct 2017 20:31

Last Modified:

15 Nov 2021 19:47

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