We present a scheme for joint remote state preparation (JRSP) of three-particle state via three tripartite Greenberger-Horne-Zeilinger (GHZ) entangled states as the quantum channel linking the parties. We use eight-qubit mutually orthogonal basis vector as measurement point of departure. The likelihood of success for this scheme has been found to be 1/8. However, by putting some special cases into consideration, the chances can be ameliorated to 1/4 and 1. The effects of amplitude-damping noise, phase-damping noise and depolarizing noise on this scheme have been scrutinized and the analytical derivations of fidelities for the quantum noisy channels have been presented. We found that for 0.55 ≤ η ≤ 1, the states conveyed through depolarizing channel lose more information than phase-damping channel while the information loss through amplitude damping channel is most minimal.
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IntroductionWhen a pair of particles is generated such that the quantum state of each particle cannot be elucidated independently, we referred to them as being entangled. One of the effortless ways to create entanglement is using a very powerful laser along with some very special crystals in order to entangle pair of photons which are the smallest unit of light. Experimental realization of quantum entanglement has been achieved and presented more elaborately in reference [1]. Quantum entanglement represents basic ingredient in quantum information processing. In fact, quantum entanglement 1 E-mail: fbjames11@physicist.net; babatunde.falaye@fulafia.edu.ng 2 E-mail: sunghdb@yahoo.com 3 E-mail: ocamacho@ipn.mx 4 E-mail: dongsh2@yahoo.com 1 lies in the heart of many quantum devices that are actively been developed. Entanglement has been found resourceful in quantum state sharing [2]. Information stored in quantum system can be teleported from one location to the other with the aid of shared entangled state [3]. Some other processes that exploit quantum entanglement include quantum dense coding [4], quantum secure direct communication [5] and remote state preparation (RSP) [6].The quantum teleportation can be described as a process by which quantum information is being transmitted from one location to another, with the aid of classical communication and erstwhile shared quantum entanglement between the sending and receiving location. In quantum teleportation, the sender has a particle of unknown state. Whereas, in RSP, the sender does not own the particle