Solution to the King's Problem in Prime Power Dimensions

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 58, Issue 2-3, 2003, Pages 85-92

  Aravind, P K ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

King's Problem; Mutually Unbiased Bases; Quantum State Estimation

Indexed keywords

EID: 0038745997     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2003-2-302     Document Type: Article

References (21)

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16. k'm implies that (m–1) (k0–k′0 + k–k′1) = 0 which, by property (B) of a field, has a unique solution for some m 2, thus again establishing the desired result.
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19. Each triad of observables shown in Table 3 is actually part of a larger set of seven commuting observables, the remaining members ofwhich can be obtained by multi-plying the observables shown in pairs or all at once. We have omitted these additional observables because the combined eigenvalues of the retained observables provide a unique set of signatures for all the eigenstates that follow.
20. 2 complement the four observables already mentioned to provide such a set of eight observables. However we ignore these additional observables for the same reason as mentioned in [18].
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