  Landauer's principle sets a fundamental limit on the heat dissipated when one
classical bit of information is erased from a memory, therefore establishing a
direct link between information theory and thermodynamics. However, with the
advent of quantum technologies, the question of whether there is a strategy to
overcome the principle naturally emerges. In this work, we present a quantum
channel that erases any qubit state with unit probability, and is capable of
operating beyond Landauer's limit. The method, which requires an ancilla qubit
to interact with the memory, is based only on CNOT gates. The violation of the
Landauer bound is verified when the reservoir temperature is above a given
limit temperature, which can be well below room temperature.
