Continuous Sets of Dequantizers and Quantizers for One-Qubit States*

Abstract

We show the star-product quantization procedure for spin-1/2 particles (qubits) employing the construction of a pair of operators – dequantizers and quantizers. We present an explicit description of all minimal systems of such dequantizers and quantizers and discuss their relation to the probability representation of spin states where the fair probability distribution is identified with the spin states. We give some examples and discuss the possibility of constructing a symplectic structure in the finite-dimensional phase space.