Abstract
We 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.
| Original language | English |
|---|---|
| Article number | S10 |
| Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |
| Volume | 40 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - May 14 2007 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
Cite this
Nilpotent polynomial approach to four-qubit entanglement. / Mandilara, Aikaterini; Viola, Lorenza.
In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 40, No. 9, S10, 14.05.2007.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nilpotent polynomial approach to four-qubit entanglement
AU - Mandilara, Aikaterini
AU - Viola, Lorenza
PY - 2007/5/14
Y1 - 2007/5/14
N2 - We 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.
AB - We 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=34250201514&partnerID=8YFLogxK
U2 - 10.1088/0953-4075/40/9/S10
DO - 10.1088/0953-4075/40/9/S10
M3 - Article
VL - 40
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
SN - 0953-4075
IS - 9
M1 - S10
ER -