How many CNOT gates does it take to generate a three-qubit state ?

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dc.creatorZnidaric, Marko
dc.creatorGiraud, Olivier
dc.creatorGeorgeot, Bertrand
dc.date2007-11-26
dc.date.accessioned2026-07-07T09:27:15Z
dc.date.available2026-07-07T09:27:15Z
dc.descriptionThe number of two-qubit gates required to transform deterministically a three-qubit pure quantum state into another is discussed. We show that any state can be prepared from a product state using at most three CNOT gates, and that, starting from the GHZ state, only two suffice. As a consequence, any three-qubit state can be transformed into any other using at most four CNOT gates. Generalizations to other two-qubit gates are also discussed.
dc.description4 pages, no figure
dc.identifierhttps://arxiv.org/abs/0711.4021
dc.identifierhttp://arxiv.org/abs/0711.4021
dc.identifierPhys. Rev. A 77, 032320 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.032320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157035
dc.subjectQuantum Physics
dc.titleHow many CNOT gates does it take to generate a three-qubit state ?
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