  Reversible computation has been proposed as a future paradigm for energy
efficient computation, but so far few implementations have been realised in
practice. Quantum circuits, running on quantum computers, are one construct
known to be reversible. In this work, we provide a proof-of-principle of
classical logical gates running on quantum technologies. In particular, we
propose, and realise experimentally, Toffoli and Half-Adder circuits suitable
for classical computation, using radiofrequency-controlled $^{171}$Yb$^+$ ions
in a macroscopic linear Paul-trap as qubits. We analyse the energy required to
operate the logic gates, both theoretically and experimentally, with a focus on
the control energy. We identify bottlenecks and possible improvements in future
platforms for energetically-efficient computation, e.g., trap chips with
integrated antennas and cavity QED. Our experimentally verified energetic model
also fills a gap in the literature of the energetics of quantum information,
and outlines the path for its detailed study, as well as its potential
applications to classical computing.
