Generation and Teleportation of three and four particle W state

TL;DR

This paper presents a novel quantum circuit protocol for generating and teleporting three- and four-particle W states with arbitrary coefficients, optimizing resource use through pre- and post-processing, and validated via simulation.

Contribution

It introduces a new protocol for generating and teleporting multi-particle W states with arbitrary parameters, including resource optimization and bidirectional implementation.

Findings

Successfully generated W states with arbitrary coefficients and phases.

Validated the protocol through Qiskit simulations.

Compared and improved upon existing teleportation methods.

Abstract

In this paper, we introduced circuits for three- and four-particle quantum systems to generate W states with any arbitrary coefficients and phases. Subsequently, each qubit was transmitted separately through a four-qubit entangled channel. Before transmission, the sender performed pre-processing on their qubits to minimize the resources required for transmission. Additionally, the receiver applied post-processing using the ancilla qubit(s) to recover the final states. To further improve efficiency, it is preferable to implement the protocol in a bidirectional manner, as this allows the unknown qubits initially held by the users to be utilized ancilla qubit(s). Finally, we compared our protocol with similar works and validated the correctness of the protocol by simulating it using Qiskit, a tool provided by IBM.