  In this note we define one more way of quantization of classical systems. The
quantization we consider is an analogue of classical Jordan-Schwinger (J.-S.)
map which has been known and used for a long time by physicists. The
difference, comparing to J.-S. map, is that we use generators of Cuntz algebra
$\mathcal{O}_{\infty}$ (i.e. countable family of mutually orthogonal partial
isometries of separable Hilbert space) as a "building blocks" instead of
creation-annihilation operators. The resulting scheme satisfies properties
similar to Van Hove prequantization i.e. exact conservation of Lie bracket and
linearity.
