  We argue that the model of a quantum computer with N qubits on a quantum
space background, which is a fuzzy sphere with n=2^N elementary cells, can be
viewed as the minimal model for Quantum Gravity. In fact, it is discrete, has
no free parameters, is Lorentz invariant, naturally realizes the Holographic
Principle, and defines a subset of punctures of spin networks' edges of Loop
Quantum Gravity labelled by spins j=2^(N-1)-1/2. In this model, the discrete
area spectrum of the cells, which is not equally spaced, is given in units of
the minimal area of Loop Quantum Gravity (for j=1/2), and provides a discrete
emission spectrum for quantum black holes. When the black hole emits one string
of N bits encoded in one of the n cells, its horizon area decreases of an
amount equal to the area of one cell.
