of the operator can be calculated from the polarization ellipse parameters I, p, ψ, χ. The Stokes parameters with I set equal to 1 (i.e. the trace 1 operators) are in one-to-one correspondence with the closed unit 3-dimensional ball of mixed states (or density operators) of the quantum space C2, whose boundary is the Bloch sphere. The Jones vectors correspond to the underlying space C2, that is, the (unnormalized) pure states of the same system. Note that phase information is lost when passing from a pure state |φ⟩ to the corresponding mixed state |φ⟩⟨φ|, just as it is lost when passing from a Jones vector to the corresponding Stokes vector. See also Mueller calculus Jones calculus Polarization (waves) Rayleigh Sky Model Stokes operators Polarization mixing Notes References E. Collett, Field Guide to Polarization, SPIE Field Guides vol. FG05, SPIE (2005). . E. Hecht, Optics'', 2nd ed., Addison-Wesley (1987). . Polarization (waves) Radiometry