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Isolated Hadamard Matrices from Mutually Unbiased Product Bases

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Publication details

JournalJournal of Mathematical Physics
DateE-pub ahead of print - 28 Nov 2012
DatePublished (current) - Nov 2012
Issue number2
Number of pages16
Early online date28/11/12
Original languageEnglish


A new construction of complex Hadamard matrices of composite order d=pq, with primes p,q, is presented which is based on pairs of mutually unbiased bases containing only product states. We illustrate the method for many product dimensions d<100 by analytically deriving complex Hadamard matrices, both with zero and non-zero defect. In particular, we obtain at least 12 new isolated Butson-type Hadamard matrices of orders ranging from 9 to 91.

    Research areas

  • Quantum Physics (quant-ph)

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