Asymmetric and deterministic bidirectional remote state preparation under the supervision of a third party

Abstract

We present two schemes for asymmetric controlled bidirectional remote state preparation (CBRSP) with real and complex coefficients via seven- and ten-qubit entangled states, respectively, as the quantum channel. In these schemes, two distant parties—Alice and Bob—are not only senders but also receivers: Alice wants to remotely prepare a single-qubit state at Bob’s site; at the same time, Bob wishes to help Alice remotely prepare a two-qubit state. It is shown that the asymmetric CBRSP be can be completed successfully only if the two senders and the controller collaborate with each other. We demonstrate that, in our schemes, the total success probability of the asymmetric CBRSP can reach 1, that is, the schemes are deterministic.