  In 1981, Richard Feynman discussed the possibility of performing quantum
mechanical simulations of nature. Ever since, there has been an enormous
interest in using quantum mechanical systems, known as quantum simulators, to
mimic specific physical systems. Hitherto, these controllable systems have been
implemented on different platforms that rely on trapped atoms, superconducting
circuits and photonic arrays. Unfortunately, these platforms do not seem to
satisfy, at once, all desirable features of an universal simulator, namely
long-lived coherence, full control of system parameters, low losses, and
scalability. Here, we overcome these challenges and demonstrate robust
simulation of quantum transport phenomena using a state-of-art reconfigurable
electronic network. To test the robustness and precise control of our platform,
we explore the ballistic propagation of a single-excitation wavefunction in an
ordered lattice, and its localization due to disorder. We implement the
Su-Schrieffer-Heeger model to directly observe the emergence of
topologically-protected one-dimensional edge states. Furthermore, we present
the realization of the so-called perfect transport protocol, a key milestone
for the development of scalable quantum computing and communication. Finally,
we show the first simulation of the exciton dynamics in the B800 ring of the
purple bacteria LH2 complex. The high fidelity of our simulations together with
the low decoherence of our device make it a robust, versatile and promising
platform for the simulation of quantum transport phenomena.
