Generation of all sets of mutually unbiased bases for three-qubit systems
Quantum Physics
2013-12-11 v1 Mathematical Physics
math.MP
Abstract
We propose a new method of finding the mutually unbiased bases for three qubits. The key element is the construction of the table of striation-generating curves in the discrete phase space. We derive a system of equations in the Galois field GF(8) and show that the solutions of these equations are sufficient for the construction of the general sets of complete mutually unbiased bases. A few examples are presented in order to show how our algorithm works in the cases: striation table with three, two axes, and one and no axis in the discrete phase space.
Keywords
Cite
@article{arxiv.1312.2875,
title = {Generation of all sets of mutually unbiased bases for three-qubit systems},
author = {Iulia Ghiu},
journal= {arXiv preprint arXiv:1312.2875},
year = {2013}
}