Remote State Preparation in Quadrature Basis

Abstract

We present a theoretical scheme for non-teleportation-based exact deterministic remote state preparation (RSP) in continuous variable (CV) quantum systems. It is an infinite dimensional generalization of RSP of equatorial states. It is capable of preparing states of an ensemble that is parameterized by infinitely many real numbers, i.e. by a real function, while the classical communication cost is only one real number. We show the relation of our scheme to the classical Vernam cipher (one-time pad).