Relation between discrete and continuous teleportation using linear elements

dc.creatorWitthaut, Dirk
dc.creatorFleischhauer, Michael
dc.date2003-07-21
dc.date.accessioned2026-07-07T06:31:19Z
dc.date.available2026-07-07T06:31:19Z
dc.descriptionWe discuss the relation between discrete and continuous linear teleportation, i.e. teleportation schemes that use only linear optical elements and photodetectors. For this the existing qubit protocols are generalized to qudits with a discrete and finite spectrum but with an arbitrary number of states or alternatively to continuous variables. Correspondingly a generalization of linear optical operations and detection is made. It is shown that linear teleportation is only possible in a probabilistic sense. A general expression for the success probability is derived which is shown to depend only on the dimensions of the input and ancilla Hilbert spaces. From this the known results $p=1/2$ and $p=1$ for the discrete and continuous cases can be recovered. We also discuss the probabilistic teleportation scheme of Knill, Laflamme and Milburn and argue that it does not make optimum use of resources.
dc.description7 pages; corrected minor mistakes
dc.identifierhttps://arxiv.org/abs/quant-ph/0307140
dc.identifierhttp://arxiv.org/abs/quant-ph/0307140
dc.identifierQuant. Inf. Comp. 4, 122 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98568
dc.subjectQuantum Physics
dc.titleRelation between discrete and continuous teleportation using linear elements
dc.typetext

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