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Three-qubit pure-state canonical forms

by: A. Acin, A. Andrianov, E. Jane, R. Tarrach
Journal of Physics A: Mathematical and General, Vol. 34, No. 35. (26 Sep 2000), pp. 6725-6739, doi:10.1088/0305-4470/34/35/301  Key: citeulike:2435235

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Abstract

In this paper we analyze 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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