A unified approach to SIC-POVMs and MUBs

A unified approach to SIC-POVMs and MUBs

A unified approach to (symmetric informationally complete) positive operator valued measures (SIC-POVMs) and mutually unbiased bases (MUBs) is developed. The approach is based on the use of Racah unit tensors for the Wigner-Racah algebra of SU(2) ⊃ U(1). Emphasis is put on similarities and differenc...

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Veröffentlicht in:Journal of Russian laser research 2007-09, Vol.28 (5), p.429-438
Hauptverfasser: Albouy, Olivier, Kibler, Maurice R.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical Physics
Mathematics
Operators (mathematics)
Physics
Quantum Physics
Tensors
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Zusammenfassung:A unified approach to (symmetric informationally complete) positive operator valued measures (SIC-POVMs) and mutually unbiased bases (MUBs) is developed. The approach is based on the use of Racah unit tensors for the Wigner-Racah algebra of SU(2) ⊃ U(1). Emphasis is put on similarities and differences between SIC-POVMs and MUBs.
ISSN:1071-2836
1573-8760
DOI:10.1007/s10946-007-0032-5