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Three-qubit pure-state canonical forms

2000/09/26 by A. Acin, A. Andrianov, E. Jane +1
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1088/0305-4470/34/35/301

published as J. Phys. A: Math. Gen. 34 (2001), 6725 · REVTEX, 9 pages, 1 figure

arxiv created 2000/09/26 · arxiv updated 2009/12/01

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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