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math.OAJan 3, 2012
1
citations (OpenAlex)
authors
  • Philippe Jaming
  • Mate Matolcsi
  • Peter Mora
institutions
  • Budapest University of Technology and Economics
  • Hungarian Academy of Sciences
  • HUN-REN Alfréd Rényi Institute of Mathematics
  • Laboratoire de Mathématiques Analyse, Probabilités, Modélisation Orléans
  • Université d'Orléans
arXiv abstractPDF
paper

The problem of mutually unbiased bases in dimension 6

arXiv:1201.0640

Abstract

We outline a discretization approach to determine the maximal number of mutually unbiased bases in dimension 6. We describe the basic ideas and introduce the most important definitions to tackle this famous open problem which has been open for the last 10 years. Some preliminary results are also listed.

13 pages

References in corpus (7)

  • Constructing Mutually Unbiased Bases in Dimension Six
  • Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
  • Numerical evidence for the maximum number of mutually unbiased bases in dimension six
  • Equiangular Spherical Codes in Quantum Cryptography
  • Block circulant matrices with circulant blocks, weil sums and mutually unbiased bases, II. The prime power case
  • Unbiased bases (Hadamards) for 6-level systems: Four ways from Fourier
  • Circulant matrices, gauss sums and mutually unbiased I. The prime number case

Cited by in corpus (1)

  • Four-parameter families of complex Hadamard matrices of order six
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