The Qubits of Qunivac

Abstract

We distinguish between ontic and praxic formulations of quantum theory and adopt a praxic one. We formulate a reversible higher-order quantum logic in a large Clifford algebra Cliff(ι). We use it to describe the operation of the Quantum Universe As Computer (Qunivac). The qubits of Qunivac are associated with Clifford units with a real Clifford-Wilczek statistics. We encode the spin-\(\frac{1}{2}\) Dirac equation on Qunivac in an exactly Lorentz-invariant ultraquantum space-time. Qunivac violates the canonical Heisenberg indeterminacy principle and locality in a way that should show up at high energies only. Qunivac accommodates a field theory.