Generation of bases with definite factorization for an n-qubit system and mutually unbiased sets construction

A Garcia, JL Romero, AB Klimov - Journal of Physics A …, 2010 - iopscience.iop.org
We propose a systematic procedure to construct all the possible bases with a definite
factorization structure (eigenstates of n commuting monomials constructed as products of …

Complete sets of mutually unbiased operators in n-qudit systems

A García, AB Klimov - Physica Scripta, 2014 - iopscience.iop.org
An explicit construction of all the possible sets of n commuting monomials for an n-qudit
system as well as an algorithm for the determination of their factorization are given here. The …

Unextendible Sets of Mutually Unbiased Basis Obtained from Complete Subgraphs

A García, PC López - Mathematics, 2021 - mdpi.com
We propose a method, based on the search and identification of complete subgraphs of a
regular graph, to obtain sets of Pauli operators whose eigenstates form unextendible …

Group-theoretical approach to the construction of bases in 2 n -dimensional Hilbert space

A Garcia, JL Romero, AB Klimov - Physics of Atomic Nuclei, 2011 - Springer
We propose a systematic procedure to construct all the possible bases with definite
factorization structure in 2 n-dimensional Hilbert space and discuss an algorithm for the …

Group-Theoretical Approach to the Construction of Bases in< img src="/get_item_image. asp? id= 16455689&img= FO_1_1. gif" align= absmiddle border= 0> …

A Garcia, JL Romero, AB Klimov - Ядерная физика, 2011 - elibrary.ru
We propose a systematic procedure to construct all the possible bases with definite
factorization structure in-dimensional Hilbert space and discuss an algorithm for the …