Short-distance quantum state preparation of an arbitrary two-qubit state via GHZ state

Fusing the idea of short-distance teleportation and remote quantum state preparation (QSP), we first propose a novel deterministic QSP scheme to prepare an arbitrary two-particle state between two participants in a short distance by using a maximally entangled GHZ state as a quantum channel working together with auxiliary in the ground state |0⟩ , wherein this GHZ state is pre-constructed by us via Hadamard gate, controlled-NOT gate and Pauli-X gate. Then, by replacing the maximally entangled GHZ state with a partially entangled GHZ state with real coefficients, we give two probabilistic short-distance QSP schemes to meet the communication demand in the real environment. One of these two schemes is based on projective measurement, and the other is based on positive operator-value measurement (POVM), both of which are extensions of the above ideal scheme. Finally, using our 4-order diagonal phase transformation, the above schemes can be extended to the case of complex coefficient GHZ channels. Our schemes require less entanglement resource, but at the cost of teleportation distance, and so they are the optimal choice for short-distance QSP. From the practical point of view, our schemes are very promising for application of QSP on chip.