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A Family of Optimal Packings in Grassmannian Manifolds
Authors:P.W. Shor  N.J.A. Sloane
Affiliation:(1) Information Sciences Research, AT&T Labs-Research, Florham Park, NJ, 07932-0971
Abstract:A remarkable coincidence has led to the discovery of a family of packings of 
$$m^2 + m - 2{text{ }}m/2 $$
-dimensional subspaces of m-dimensional space, whenever m is a power of 2. These packings meet the ldquoorthoplex boundrdquo and are therefore optimal.
Keywords:Grassmannian manifold  packing  separating subspace  Barnes-Wall lattice  quantum coding theory  Clifford group
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