On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group

G. G. Amosov, A. S. Mokeev

Research output

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Number of pages7
JournalInternational Journal of Theoretical Physics
DOIs
Publication statusE-pub ahead of print - 28 Nov 2018
Externally publishedYes

Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group'. Together they form a unique fingerprint.

Cite this