Mutually unbiased bases for quantum degrees of freedom are central to all theoretical
investigations and practical exploitations of complementary properties. Much is known about …

The density matrix of a qudit may be reconstructed with optimal efficiency if the expectation
values of a specific set of observables are known. In dimension six, the required …

We exhibit an infinite family of triplets of mutually unbiased bases (MUBs) in dimension 6.
These triplets involve the Fourier family of Hadamard matrices, F (a, b). However, in the main …

The intended purpose of this work is to provide the reader with a comprehensive, state-of-
the art presentation of the theory of complex Hadamard matrices, or at least report on the …

In this paper, we construct a new, previously unknown four‐parameter family of complex
Hadamard matrices of order 6, the entries of which are described by algebraic functions of …

We analyze the set of real and complex Hadamard matrices with additional symmetry
constrains. In particular, we link the problem of existence of maximally entangled multipartite …

This paper is a survey of contemporary results and applications of the theory of homotopes.
The notion of a well-tempered element of an associative algebra is introduced, and it is …

It is shown that a normalized complex Hadamard matrix of order 6 having three distinct
columns each containing at least one-1 entry, necessarily belongs to the transposed Fourier …

Three-parameter complex Hadamard matrices of order 6 Page 1 Linear Algebra and its
Applications 434 (2011) 247–258 Contents lists available at ScienceDirect Linear Algebra and …

We develop a combinatorial approach to the quantum permutation algebras, as Hopf
images of representations of type π: As (n)→ B (H). We discuss several general problems …