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arxiv: 1709.08062 · v3 · pith:RSTX73R4new · submitted 2017-09-23 · 🪐 quant-ph

On construction of anticliques for non-commutative operator graphs

classification 🪐 quant-ph
keywords non-commutativeoperatoranticliquesconstructiongraphsallowsanticliqueapplication
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In this paper anticliques for non-commutative operator graphs generated by the generalized Pauli matrices are constructed. It is shown that application of entangled states for the construction of code space K allows one to substantially increase the dimension of a non-commutative operator graph for which the projection on K is an anticlique.

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