Parallel remote preparation of quantum states with polarization-frequency-time-bin hyperentangled state

Preparing quantum state remotely is one of the central tasks in long-distance quantum communication. Here we present a protocol to parallel remote preparation of the arbitrary single-qubit states in three DoFs by rotating quantum states in each DoF of the photon via linear-optical elements. The arbitrary single-qubit states can be remote prepared in frequency, time-bin and polarization DoFs by manipulating the quantum states in each DoF. Moreover, we discuss the protocol for parallel remote preparation in frequency, time-bin and polarization DoFs by using partially hyperentangled state as the quantum channel. Our protocols have the advantages of having higher channel capacity than previous RSP protocols since each photon can carry 3 qubits of quantum information via a fiber channel, not just 1 or 2 qubits. Since partially hyperentangled channel can be transformed to the target channel for parallel remote state preparation recursively via optical elements, the efficiency for hyperentangled channel is greatly enhanced.