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Mutually unbiased bases as submodules and subspaces
Mutually unbiased bases submodules and subspaces Combinatorics
2012/6/19
Mutually unbiased bases (MUBs) have been used in several cryptographic and communications applications. There has been much speculation regarding connections between MUBs and finite geometries. Most o...
Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
finite-dimensional Hilbert space basis of operators star-product scheme
2011/3/4
Columns of d2 ×N matrices are shown to create different sets of N operators acting on d-dimensional Hilbert space.
The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n)
partial bases for F_n finite generation Torelli subgroup of Aut(F_n)
2011/1/19
We study the complex of partial bases of a free group, which is an analogue for Aut(Fn)
of the curve complex for the mapping class group. We prove that it is connected and simply
connected, and we a...