Control and Representation of n-qubit Quantum Systems

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dc.creatorBaylis, W. E.
dc.creatorCabrera, R.
dc.creatorRangan, C.
dc.date2006-06-01
dc.date2006-07-06
dc.date.accessioned2026-07-07T07:18:57Z
dc.date.available2026-07-07T07:18:57Z
dc.descriptionJust as any state of a single qubit or 2-level system can be obtained from any other state by a rotation operator parametrized by three real Euler angles, we show how any state of an n-qubit or 2^n-level system can be obtained from any other by a compact unitary transformation with 2^(n+1)-1 real angles, 2^n of which are azimuthal-like and the rest polar-like. The results follow from a modeling of the Hilbert space of n-qubits by a minimal left ideal of an associative algebra. This representation is expected to be useful in the design of new compact control techniques or more efficient algorithms in quantum computing.
dc.description4 pages, no figures, revision corrects a couple of minor errors
dc.identifierhttps://arxiv.org/abs/quant-ph/0606019
dc.identifierhttp://arxiv.org/abs/quant-ph/0606019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114490
dc.subjectQuantum Physics
dc.titleControl and Representation of n-qubit Quantum Systems
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