On non-commutative operator graphs generated by covariant resolutions of identity. / Amosov, G. G.; Mokeev, A. S.
In: Quantum Information Processing, Vol. 17, No. 12, 325, 01.12.2018.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On non-commutative operator graphs generated by covariant resolutions of identity
AU - Amosov, G. G.
AU - Mokeev, A. S.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors.
AB - We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors.
KW - Covariant resolutions of identity
KW - Entangled vectors
KW - Non-commutative operator graphs
KW - Quantum anticliques
UR - http://www.scopus.com/inward/record.url?scp=85055174021&partnerID=8YFLogxK
U2 - 10.1007/s11128-018-2072-x
DO - 10.1007/s11128-018-2072-x
M3 - Article
AN - SCOPUS:85055174021
VL - 17
JO - Quantum Information Processing
JF - Quantum Information Processing
SN - 1570-0755
IS - 12
M1 - 325
ER -
ID: 41887354