Parallel remote preparation of two-qubit hybrid states on four degrees of freedom via two-photon hyperentangled Bell state

Preparing quantum state remotely plays an important role in quantum communication network. Most of the previous protocols for parallel preparation quantum state remotely only consider parallel remote preparation of arbitrary single-qubit states. In this paper, we propose a protocol for parallel remote preparation of two-qubit hybrid states with a two-photon hyperentangled state. The arbitrary two-qubit hybrid states encoded in spatial-mode, frequency, polarization and time-bin degrees of freedom(DOFs) can be remotely prepared via hyperentangled state and optical elements. Moreover, we discuss parallel remote preparation of two-qubit hybrid states via partially hyperentangled state. The protocol for parallel remote preparation of two-qubit hybrid states has the advantage of having high channel capacity for long distance quantum communication by using hyperentangled state simultaneously entangled in spatial-mode, frequency, polarization and time-bin DOFs as the quantum channel.