Nilpotent polynomials approach to four-qubit entanglement

Details Nilpotent polynomials approach to four-qubit entanglement Nilpotent polynomials approach to four-qubit entanglement

2006-12-06

arxiv.org/abs/quant-ph/0612048v3

Physics

Quantum Physics

11 pages, 1 figure. Finalised version

Scientific paper

We apply the general formalism of nilpotent polynomials [Mandilara et al, Phys. Rev. A 74, 022331 (2006)] to the problem of pure-state multipartite entanglement classification in four qubits. In addition to establishing contact with 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 fourpartite entanglement is also suggested, and its behavior numerically tested on random pure states.

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