Generating and Testing a Many-qubit Entangled State for Controlled Quantum Teleportation

Multipartite entangled states are essential for controlled quantum teleportation (CQT). CQT enables secure and conditional quantum information transfer among multiple parties. Recently, the six-qubit “tetrahedron” state was identified as a novel candidate for enabling CQT of a two-qubit state by Z. M. McIntyre and W. A. Coish (2024). Despite its theoretical promise, this state has yet to be experimentally realized. We will employ IBM Qiskit, a quantum computing software package, to perform a classical simulation of the tetrahedron state, modeling realistic conditions that include decoherence, state preparation errors, and measurement imperfections. By examining the influence of noise on entanglement and teleportation fidelity, we aim to gain insights into the state’s feasibility for near-term quantum hardware. This approach involves constructing the quantum circuit for the tetrahedron state, incorporating realistic noise models, and analyzing the cumulative effect of errors at each gate operation. Our ultimate goal is to identify critical noise thresholds that limit the state’s performance and inform future hardware implementations. The insights from these simulations will guide experimental efforts to realize the six-qubit tetrahedron state and advance controlled quantum teleportation protocols for multi-qubit systems.