Three-qubit pure-state canonical forms

Antonio Acín, Alexander A. Andrianov, E. Jané, R. Tarrach · Journal of Physics A Mathematical and General · 2001

In this paper we analyse the canonical forms into which any pure three-qubit state can be cast. The minimal forms, i.e. the ones with the minimal number of product states built from local bases, are also presented and lead to a complete classification of pure three-qubit states. This classification is related to the values of the polynomial invariants under local unitary transformations by a one-to-one correspondence.

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