Perfect state transfer in quantum spin networks

Abstract

A class of qubit networks that allows the perfect transfer of any quantum state over the longest posible distance was proposed. A perfect quantum state transfer between antipodal points of one-link and two-link hypercubes was derived. It was found that the 2log3N was the minimum perfect communication distance for hypercube geometries, when restricted to N-qubit spin networks of identical qubit couplings. It was also found that the perfect state transfer over arbitrarily long distances in a linear chain could be achieved during fixed but different couplings between the qubits.