  We investigate experimentally the relation between thermodynamical
irreversibility and dissipation on a superconducting Xmon qubit. This relation
also implies the second law and the Landauer principle on dissipation in the
irreversible computations. In our experiment, the qubit is initialized to
states according to Gibbs distribution. Work injection and extraction processes
are conducted through two kinds of unitary driving protocols, for both a
forward process and its corresponding mirror reverses. Relative entropy and
relative Re'nyi entropy are employed to measure the asymmetry between paired
forward and backward work injection or extraction processes. We show
experimentally that relative entropy and relative Re'nyi entropy measured
irreversibility are related to the average of work dissipation and average of
exponentiated work dissipation respectively. Our work provides solid
experimental support for the theory of quantum thermodynamics.
