The time-dependent Schrödinger equation is broadly accepted as a fundamental equation of quantum mechanics. It might therefore come as a surprise that in quantum cosmology, time is well accepted as an emergent phenomenon. Even in non-relativistic quantum mechanics, the time-dependent Schrödinger equation can be viewed as an approximate semiclassical equation derivable from the time-independent Schrödinger equation. In this lecture, we will briefly introduce the topic of the emergence of time in time-independent non-relativistic quantum mechanics and discuss how this topic is connected to the physics of open quantum systems. Then we will dive into the author’s present attempts to translate the physics of time-emergence onto finite systems of qubits. We will show, how discrete quantum mechanics can be constructed on a system of strongly interacting qubits. In this version of quantum mechanics, a small subsystem of qubits follows a discrete version of the time-dependent Schrödinger equation, where the time-like parameter is constructed from the spatial parameters of the qubit system. We will discuss the prospects and pitfalls of both the theoretical (computational) and experimental realizations of the presented ideas.