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Paper 1

On non-commutative operator graphs generated by reducible unitary representation of the Heisenberg-Weyl group

G. G. Amosov, A. S. Mokeev

Year
2018
Journal
arXiv preprint
DOI
arXiv:1812.02515
arXiv
1812.02515

We consider a reducible unitary representation of Heisenberg-Weyl group in a tensor product of two Hilbert spaces. A non-commutative operator graph generated by this representation is introduced. It is shown that spectral projections of unitaries in the representation are anticliques (quantum error-correcting codes) for this graph. The obtained codes are appeared to be linear envelopes of entangled vectors.

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Paper 2

Topological quantum hashing with the icosahedral group.

Burrello M, Xu H, Mussardo G, Wan X.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.104.160502
arXiv
-

No abstract.

Open paper