Quantum theory of successive projective measurements

dc.creatorJohansen, Lars M.
dc.date2007-05-02
dc.date.accessioned2026-07-07T08:43:51Z
dc.date.available2026-07-07T08:43:51Z
dc.descriptionWe show that a quantum state may be represented as the sum of a joint probability and a complex quantum modification term. The joint probability and the modification term can both be observed in successive projective measurements. The complex modification term is a measure of measurement disturbance. A selective phase rotation is needed to obtain the imaginary part. This leads to a complex quasiprobability, the Kirkwood distribution. We show that the Kirkwood distribution contains full information about the state if the two observables are maximal and complementary. The Kirkwood distribution gives a new picture of state reduction. In a nonselective measurement, the modification term vanishes. A selective measurement leads to a quantum state as a nonnegative conditional probability. We demonstrate the special significance of the Schwinger basis.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0705.0229
dc.identifierhttp://arxiv.org/abs/0705.0229
dc.identifierPhys. Rev. A76, 012119 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.012119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142460
dc.subjectQuantum Physics
dc.titleQuantum theory of successive projective measurements
dc.typetext

Files

Collections