Improving the probabilistic quantum teleportation efficiency of arbitrary superposed coherent state using multipartite even and odd j-spin coherent states as resource

• Main Authors: Kirdi, Meryem El, Slaoui, Abdallah, Hadfi, Hanane El, Daoud, Mohammed
• Format: Journal Article
• Language: English
• Published: 17-02-2022
• Subjects: Physics - Quantum Physics
• DOI: 10.48550/arxiv.2202.08591

Quantum teleportation is one of the most important techniques for quantum
information secure transmission. Using preshared entanglement, quantum
teleportation is designed as a basic key in many quantum information tasks and
features prominently in quantum technologies, especially in quantum
communication. In this work, we provide a new probabilistic teleportation
scheme for arbitrary superposed coherent states by employing the multipartite
even and odd $j$-spin coherent states as the entangled resource connecting
Alice (sender) and Bob (receiver). Here, Alice possesses both even and odd spin
coherent states and makes repeated GHZ states measurements (GHZSMs) on the pair
of spins, consisting of ($1$) the unknown spin state and ($2$) one of the two
coherent spin states, taken alternately, until reaching a quantum teleportation
with maximal average fidelity. We provide the relationship between the
entanglement amount of the shared state, quantified by the concurrence, with
the teleportation fidelity and the success probability of the teleported target
state up to the $n^{\rm th}$ repeated attempt. In this scheme, we show that the
perfect quantum teleportation can be done even with a non-maximally entangled
state. Furthermore, this repeated GHZSMs attempt process significantly
increases both the average fidelity of the teleported state and the probability
of a successful run of the probabilistic protocol. Also on our results, we show
that the $j$-spin number, the target state parameter and the overlap between
coherent states provide important additional control parameters that can be
adjusted to maximize the teleportation efficiency.