FUZZYFICATION OF THE BLOCH BALL


By the concept of the Bloch ball we mean a three-dimensional shape that includes the sphere as well as all of the interior points (3-ball enclosed by 2-sphere). The Bloch ball is a geometric representation of qubit states. In this article we suggest a new sight on the Bloch ball considering this one via fuzzy set. A c++ style algorithm computes the value of a hash function using the von Neumann entropy of a density matrix. This value is transformed into the value of the linguistic variable. We get the possibility to express our knowledge on quantum states in linguistic terms.