Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12104/41514
Title: Finite-dimensional quantum systems: Complementarity, phase space, and all that
Author: Sanchez-Soto, L.L.
Klimov, Andrei B.
De Guise, H.
Issue Date: 2005
Abstract: A complete set of d + 1 mutually unbiased bases exists in a Hilbert space of dimension d, whenever d is power of a prime. We discuss a simple construction of d + 1 disjoint classes (each one having d - 1 commuting operators) such that the corresponding eigenstates form sets of unbiased bases. One of these classes is diagonal, and can be mapped to "ladder" operators by means of the finite Fourier transform. Using this idea, we naturally introduce the notion of quantum phase as complementary to the inversion. The relevant examples of qubits and qutrits are discussed.
URI: http://www.scopus.com/inward/record.url?eid=2-s2.0-33750340606&partnerID=40&md5=a1a92cb483ef7fc060f5b106d5c886df
http://hdl.handle.net/20.500.12104/41514
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