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dc.contributor.authorSehrawat, A.
dc.contributor.authorKlimov, Andrei B.
dc.description.abstractThe standard construction of complete sets of mutually unbiased bases (MUBs) in prime power dimensions is based on the quadratic Gauss sums. We introduce complete MUB sets for three, four, and five qubits that are unitarily inequivalent to all existing MUB sets. These sets are constructed by using certain exponential sums, where the degree of the polynomial appearing in the exponent can be higher than 2. Every basis of these MUBs (except the computational) consists of two disjoint blocks of vectors with different factorization structures and associated with a unique hypergraph (or graph) that represents an interaction between the qubits. � 2014 American Physical Society.
dc.titleUnitarily inequivalent mutually unbiased bases for n qubits
dc.relation.ispartofjournalPhysical Review A - Atomic, Molecular, and Optical Physics
dc.contributor.affiliationSehrawat, A., Departamento de F�sica, Universidad de GuadalajaraGuadalajara, Jalisco, Mexico; Klimov, A.B., Departamento de F�sica, Universidad de GuadalajaraGuadalajara, Jalisco, Mexico
dc.contributor.affiliationKlimov, Andrei B., Universidad de Guadalajara. Centro Universitario de Ciencias Exactas e Ingenier�as
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