Role of qubits in quantum entanglement and quantum teleportation
Laure Gouba
TL;DR
The paper analyzes how qubits underpin quantum entanglement and quantum teleportation, linking qubit structure to entanglement resources and communication protocols. It surveys foundational concepts (two-level qubits, Bell-CHSH tests, separability criteria) and details the quantum teleportation protocol, including nonmaximally entangled channels and fidelity as a performance metric. A key result is the fidelity expression $F(|\psi\rangle_C) = \cos^4\frac{\theta}{2} + \sin^4\frac{\theta}{2} + \alpha\beta\sin^2\theta$, showing perfect teleportation when $\alpha\beta = 1/2$ (maximally entangled channel) and how entanglement quality governs teleportation performance. The work also discusses mathematical challenges in state separability and distillability, emphasizing fidelity as a practical measure for quantum communication performance and motivating future refinement of teleportation protocols.
Abstract
A qubit is an exhibition of quantum entanglement and a key element in the quantum teleportation process. In this paper, we review the role of qubits in quantum entanglement and quantum teleportation.