Decomposition of pure states of a quantum register

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dc.creatorRaptis, Ioannis
dc.creatorZapatrin, Roman R.
dc.date2000-10-30
dc.date2000-10-31
dc.date.accessioned2026-07-07T06:01:04Z
dc.date.available2026-07-07T06:01:04Z
dc.descriptionUsing the leading vector method, we show that any vector $h\in(C^2)^{\otimes l}$ can be decomposed as a sum of at most (and at least in the generic case) $2^l-l$ product vectors using local bitwise unitary transformations. The method is based on representing the vectors by chains of appropriate simplicial complex. This generalizes the Scmidt decomposition of pure states of a 2-bit register to registers of arbitrary length $l$.
dc.descriptionRevTeX, 3 pages, no figures, summary added
dc.identifierhttps://arxiv.org/abs/quant-ph/0010104
dc.identifierhttp://arxiv.org/abs/quant-ph/0010104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89150
dc.subjectQuantum Physics
dc.subjectRings and Algebras
dc.titleDecomposition of pure states of a quantum register
dc.typetext

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