JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

Abstract

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. Keywords 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

Joint remote state preparation (JRSP) of two-qubit equatorial state in quantum noisy channels

“…This study is another boosterish evidence that justifies quantum entanglement as key resource in quantum information science and it also represents the continuation of our recent studies [27,31]. We hope that the current study will inspire furtherance in the future by considering multi-preparer with a multi-receiver.…”

“…Experimental and theoretical works on effects of quantum noises on RSP and JRSP have been reported in refs. ( [24,25,26,27] and refs). To our best knowledge, there has been no report so far on JRSP of two-qubit equatorial state in noisy environment.…”

“…Consequently, the limited information regarding the relative phase between energy eigenstates is lost when the evolution time is not known. The behavior of this noise is characterized by the following set of Kraus operators [27,28,29,30]…”

“…Depolarizing channel can be described as a model that has outstanding symmetry properties which introduce white noise. The behavior of this noise is characterized by the following set of Kraus operators [27,28,29,30]…”

Quantum teleportation and information splitting via four-qubit cluster state and a Bell state

“…This demonstration is another supportive evidence that justifies quantum entanglement as the key resource in quantum information science, and it also represents the continuation of Refs. [7,25]. …”