Aikaterini Mandilara and Lorenza Viola 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S167 doi:10.1088/0953-4075/40/9/S10
Aikaterini Mandilara1 and Lorenza Viola2
Show affiliationsWe apply the general formalism of nilpotent polynomials (Mandilara et al 2006 Phys. Rev. A 74 022331) to the problem of pure-state multipartite entanglement classification in four qubits. In addition to establishing contact with the existing results, we explicitly show how the nilpotent formalism naturally suggests constructions of entanglement measures invariant under the required unitary or invertible class of local operations. A candidate measure of four-partite entanglement is also suggested, and its behaviour numerically tested on random pure states.
03.67.Mn Entanglement measures, witnesses, and other characterizations
03.67.Lx Quantum computation architectures and implementations
Issue 9 (14 May 2007)
Received 27 November 2006, in final form 25 January 2007
Published 18 April 2007
Aikaterini Mandilara and Lorenza Viola 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S167
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