Quantum geometry of the Cartan control problem

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dc.creatorLeifer, Peter
dc.date2008-10-17
dc.date.accessioned2026-07-07T10:11:15Z
dc.date.available2026-07-07T10:11:15Z
dc.descriptionThe Cartan control problem of the quantum circuits discussed from the differential geometry point of view. Abstract unitary transformations of $SU(2^n)$ are realized physically in the projective Hilbert state space $CP(2^n-1)$ of the n-qubit system. Therefore the Cartan decomposition of the algebra $AlgSU(2^n-1)$ into orthogonal subspaces $h$ and $b$ such that $[h,h] \subseteq h, [b,b] \subseteq h, [b,h] \subseteq b$ is state-dependent and thus requires the representation in the local coordinates.
dc.description9 pages, 2 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/0810.3188
dc.identifierhttp://arxiv.org/abs/0810.3188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171808
dc.subjectGeneral Physics
dc.titleQuantum geometry of the Cartan control problem
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