Three-qubit pure-state canonical forms

Abstract

In this paper we analyze the canonical forms into which any pure three-qubit\nstate can be cast. The minimal forms, i.e. the ones with the minimal number of\nproduct states built from local bases, are also presented and lead to a\ncomplete classification of pure three-qubit states. This classification is\nrelated to the values of the polynomial invariants under local unitary\ntransformations by a one-to-one correspondence.\n