Quantum compression with classically simulatable circuits
As we continue to find applications where the currently available noisy
devices exhibit an advantage over their classical counterparts, the efficient
use of quantum resources is highly desirable. The notion of quantum
autoencoders was proposed as a way for the compression of quantum information
to reduce resource requirements. Here, we present a strategy to design quantum
autoencoders using evolutionary algorithms for transforming quantum information
into lower-dimensional representations. We successfully demonstrate the initial
applications of the algorithm for compressing different families of quantum
states. In particular, we point out that using a restricted gate set in the
algorithm allows for efficient simulation of the generated circuits. This
approach opens the possibility of using classical logic to find low
representations of quantum data, using fewer computational resources.