We review the method of quantizers and dequantizers to construct an invertible map density operators onto functions including probability distributions discuss in detail examples qubit qutrit states. The biphoton states existing process parametric down-conversion are studied representation quantum mechanics.

Magic state distillation is a crucial component in the leading approaches to implementing universal fault-tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems. Early work focused on determining the region of distillable states for qubit protocols; yet comparatively little is known about which states can be distilled and with what distillable region...