Manipulating quantum systems undergoing non-Gaussian dynamics in a fast and accurate manner
is becoming fundamental to many quantum applications. Here, we focus on classical and quantum
protocols transferring a state across a double-well potential. The classical protocols are achieved by
deforming the potential, while the quantum ones are assisted by a counter-diabatic driving. We show
that quantum protocols perform more quickly and accurately. Finally, we design a figure of merit
for the performance of the transfer protocols – namely, the protocol grading – that depends only on
fundamental physical quantities, and which accounts for the quantum speed limit, the fidelity and
the thermodynamic of the process. We test the protocol grading with classical and quantum protocols,
and show that quantum protocols have higher protocol grading than the classical ones.
Physical Review Research release
arXiv Article