We revisit the problem of finding the Naimark extension of a probability operator-valued measure (POVM), i.e. its implementation as a projective measurement in a larger Hilbert space. In particular, we suggest an iterative method to build the projective measurement from the sole requirements of orthogonality and positivity. Our method improves existing ones, as it may be employed also to extend POVMs containing elements with rank larger than one. It is also more effective in terms of computational steps.
An effective iterative method to build the Naimark extension of rank-n POVMs / N.D. Pozza, M.G.A. Paris. - In: INTERNATIONAL JOURNAL OF QUANTUM INFORMATION. - ISSN 0219-7499. - 15:4(2017), pp. 1750029.1-1750029.15. [10.1142/S0219749917500290]
An effective iterative method to build the Naimark extension of rank-n POVMs
M.G.A. ParisUltimo
2017
Abstract
We revisit the problem of finding the Naimark extension of a probability operator-valued measure (POVM), i.e. its implementation as a projective measurement in a larger Hilbert space. In particular, we suggest an iterative method to build the projective measurement from the sole requirements of orthogonality and positivity. Our method improves existing ones, as it may be employed also to extend POVMs containing elements with rank larger than one. It is also more effective in terms of computational steps.File | Dimensione | Formato | |
---|---|---|---|
s0219749917500290.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
247.78 kB
Formato
Adobe PDF
|
247.78 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.