Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Mean king's problem with mutually unbiased bases and orthogonal Latin squares

Journal Article · · Physical Review. A
; ;  [1]
  1. Department of Applied Physics, Fukui University, Fukui 910-8507 (Japan)
The mean king's problem with maximal mutually unbiased bases (MUB's) in general dimension d is investigated. It is shown that a solution of the problem exists if and only if the maximal number (d+1) of orthogonal Latin squares exists. This implies that there is no solution in d=6 or d=10 dimensions even if the maximal number of MUB's exists in these dimensions.
OSTI ID:
20717742
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

Similar Records

Solution to the mean king's problem with mutually unbiased bases for arbitrary levels
Journal Article · Mon May 15 00:00:00 EDT 2006 · Physical Review. A · OSTI ID:20787188

Comment on ''Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models''
Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. A · OSTI ID:21541417

Reply to ''Comment on 'Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models'''
Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. A · OSTI ID:21541418