The Discrete Center-of-Mass Tomogram

A new tomographic function is introduced for the description of qudit states. We utilize the discrete space phase formalism and an analogy with continuous variables systems. It is proved that the new function is nonnegative, normalized and that it unambiguously determines the state. The new function is called the discrete center-of-mass tomogram as it has a counterpart used to determine the states of continuous variables systems.