Quantization and noiseless measurements

J. Kiukas*, P. Lahti

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid


In accordance with the fact that quantum measurements are described in terms of positive operator measures (POMs), we consider certain aspects of a quantization scheme in which a classical variable f : ℝ2 → ℝ is associated with a unique positive operator measure (POM) Ef , which is not necessarily projection valued. The motivation for such a scheme comes from the wellknown fact that due to the noise in a quantum measurement, the resulting outcome distribution is given by a POM and cannot, in general, be described in terms of a traditional observable, a selfadjoint operator. Accordingly, we note that the noiseless measurements are those which are determined by a selfadjoint operator. The POM Ef in our quantization is defined through its moment operators, which are required to be of the form ⌈(fk), k ε ℕ, with ⌈ being a fixed map from classical variables to Hilbert space operators. In particular, we consider the quantization of classical questions, that is, functions f : ℝ2 → ℝ taking only values 0 and 1. We compare two concrete realizations of the map ⌈ in view of their ability to produce noiseless measurements: one being the Weyl map, and the other defined by using phase space probability distributions.

Iaith wreiddiolSaesneg
Tudalennau (o-i)2083-2091
Nifer y tudalennau9
CyfnodolynJournal of Physics A: Mathematical and Theoretical
Rhif cyhoeddi9
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 14 Chwef 2007
Cyhoeddwyd yn allanolIe

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'Quantization and noiseless measurements'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn