Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group

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dc.creatorLyons, David W.
dc.creatorWalck, Scott N.
dc.date2008-08-21
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:11Z
dc.date.available2026-07-07T10:10:11Z
dc.descriptionWe classify, up to local unitary equivalence, the set of $n$-qubit states that is stabilized by the diagonal subgroup of the local unitary group. We exhibit a basis for this set, parameterized by diagrams of nonintersecting chords connecting pairs of points on a circle, and give a criterion for when the stabilizer is precisely the diagonal subgroup and not larger. This investigation is part of a larger program to partially classify entanglement type (local unitary equivalence class) via analysis of stabilizer structure.
dc.description4 pages, 3 figures. Version 2 has numerous small changes and corrections
dc.identifierhttps://arxiv.org/abs/0808.2989
dc.identifierhttp://arxiv.org/abs/0808.2989
dc.identifierPhys. Rev. A 78, 042314 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.042314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171539
dc.subjectQuantum Physics
dc.titleMultiparty quantum states stabilized by the diagonal subgroup of the local unitary group
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