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Structure of the sets of mutually unbiased bases for N qubits
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.ORCID iD: 0000-0002-2082-9583
2005 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 72, no 6Article in journal (Refereed) Published
Abstract [en]

For a system of N qubits, living in a Hilbert space of dimension d=2(N), it is known that there exists d+1 mutually unbiased bases. Different construction algorithms exist, and it is remarkable that different methods lead to sets of bases with different properties as far as separability is concerned. Here we derive four sets of nine bases for three qubits, and show how they are unitarily related. We also briefly discuss the four-qubit case, give the entanglement structure of 16 sets of bases, and show some of them and their interrelations, as examples. The extension of the method to the general case of N qubits is outlined.

Place, publisher, year, edition, pages
2005. Vol. 72, no 6
Keyword [en]
quantum-state tomography, discrete wigner function, mean kings problem, hilbert-space, mechanics, information, dimensions, ensembles, operators, matrices
URN: urn:nbn:se:kth:diva-15291DOI: 10.1103/PhysRevA.72.062310ISI: 000234334900039ScopusID: 2-s2.0-28844479673OAI: diva2:333332
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Björk, Gunnar
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