Three-Qubit Groverian Measure

dc.creatorJung, Eylee
dc.creatorHwang, Mi-Ra
dc.creatorPark, DaeKil
dc.creatorTamaryan, Levon
dc.creatorTamaryan, Sayatnova
dc.date2008-03-23
dc.date2008-05-30
dc.date.accessioned2026-07-07T10:00:53Z
dc.date.available2026-07-07T10:00:53Z
dc.descriptionThe Groverian measures are analytically computed in various types of three-qubit states. The final results are also expressed in terms of local-unitary invariant quantities in each type. This fact reflects the manifest local-unitary invariance of the Groverian measure. It is also shown that the analytical expressions for various types have correct limits to other types. For some types (type 4 and type 5) we failed to compute the analytical expression of the Groverian measure in this paper. However, from the consideration of local-unitary invariants we have shown that the Groverian measure in type 4 should be independent of the phase factor $ϕ$, which appear in the three-qubit state $|ψ>$. This fact with geometric interpretation on the Groverian measure may enable us to derive the analytical expressions for general arbitrary three-qubit states in near future.
dc.description25 pages, no figure, V2: will appear in QIC (quantum information and computation)
dc.identifierhttps://arxiv.org/abs/0803.3311
dc.identifierhttp://arxiv.org/abs/0803.3311
dc.identifierQuant. Inf. Comp. 8 (No. 10) (2008) 0925-0942
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168459
dc.subjectQuantum Physics
dc.titleThree-Qubit Groverian Measure
dc.typetext

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