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We experimentally verify uncertainty relations for mixed states in thetomographic representation by measuring the radiation field tomograms, i.e.homodyne distributions. Thermal states of single-mode radiation field arediscussed in details as paradigm of mixed quantum state. By considering theconnection between generalised uncertainty relations and optical tomograms isseen that the purity of the states can be retrieved by statistical analysis ofthe homodyne data. The purity parameter assumes a relevant role in quantuminformation where the effective fidelities of protocols depend critically onthe purity of the information carrier states. In this contest the homodynedetector becomes an easy to handle purity-meter for the state on-line with arunning quantum information protocol.

Homodyne extimation of quantum states purity by exploiting covariant uncertainty relation