Qubit Regularization of Quantum Field Theories

We introduce the notion of qubit regularization as a new type of regularization of quantum field theories for quantum computation. As an example,  we explicitly show how we can construct a qubit regularization of the traditional O(3) non-linear sigma model and reproduce the universal continuum physics in various dimensions. Surprisingly, after some search, we find that even the asymptotic freedom of the two-dimensional model can be recovered with just two qubits per lattice site.