Measuring polynomial functions of states

dc.creatorBrun, Todd A.
dc.date2004-01-12
dc.date2004-08-30
dc.date.accessioned2026-07-07T06:08:47Z
dc.date.available2026-07-07T06:08:47Z
dc.descriptionIn this paper I show that any $m$th-degree polynomial function of the elements of the density matrix $ρ$ can be determined by finding the expectation value of an observable on $m$ copies of $ρ$, without performing state tomography. Since a circuit exists which can approximate the measurement of any observable, in principle one can find a circuit which will estimate any such polynomial function by averaging over many runs. I construct some simple examples and compare these results to existing procedures.
dc.descriptionMinor revisions in response to referee comments
dc.identifierhttps://arxiv.org/abs/quant-ph/0401067
dc.identifierhttp://arxiv.org/abs/quant-ph/0401067
dc.identifierQuantum Information and Computation 4, 401 (2004).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91751
dc.subjectQuantum Physics
dc.titleMeasuring polynomial functions of states
dc.typetext

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