Joint Remote State Preparation Of Arbitrary Two-and Three-Particle States

One of the most important features in quantum information theory is quantum entanglement, which plays an important role in quantum communication field, like quantum teleportation, quantum key distribution, quantum dense coding, quantum computation, remote state preparation and so on. In the past several years, most works proposed about how to remotely prepare various quantum states by using a maximally entangled state as quantum channel. However, according to different physical systems, a maximally entangled state cannot always be prepared. How to use a non-maximally entangled state to remotely prepare quantum states is the main question of our research.Firstly, we mainly investigate a scheme to joint remotely prepare arbitrary two-and three-particle entangled states by using non-maximally three-particle GHZ state as the quantum channel. The projective measurement and corresponding unitary operation are needed in this article. At first, we present a scheme for joint re-mote preparation of arbitrary two-particle entangled state between three parties.The quantum channel shared by Alice, Bob and Charlie is two non-maximally three par-ticle GHZ states. In order to help Charlie remotely prepare the original state, Alice and Bob need to perform two-particle projective measurement on their own par-ticles and then inform Charlie their outcomes by classical channel. According to Alice’s and Bob’s measurement results,Charlie proceeds the corresponding unitary operation. After that Charlie introduces an auxiliary particle C and performs a measurement on particle C. According to the measurement results, Charlie can construct the original state. Then we generalize to three-particle case, where three non-maximally three-particle GHZ states used as quantum channel. It was also shown that two senders can help the receiver to remotely prepare the original state.