• Mutually unbiased bases

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      https://www.ias.ac.in/article/fulltext/pram/059/02/0345-0350

    • Keywords

       

      Mutually unbiased bases; maximally noncommuting observables; optimal quantum state determination; Galois fields determination

    • Abstract

       

      After a brief review of the notion of a full set of mutually unbiased bases in an N-dimensional Hilbert space, we summarize the work of Wootters and Fields (W K Wootters and B C Fields, Ann. Phys.191, 363 (1989)) which gives an explicit construction for such bases for the case N=pr, where p is a prime. Further, we show how, by exploiting certain freedom in the Wootters-Fields construction, the task of explicitly writing down such bases can be simplified for the case when p is an odd prime. In particular, we express the results entirely in terms of the character vectors of the cyclic group G of order p. We also analyse the connection between mutually unbiased bases and the representations of G.

    • Author Affiliations

       

      S Chaturvedi1

      1. School of Physics, University of Hyderabad, Hyderabad - 500 046, India
    • Dates

       
  • Pramana – Journal of Physics | News

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