Designing three-way entangled and nonlocal two-way entangled single particle states via alternate quantum walks
<|reference_start|>Designing three-way entangled and nonlocal two-way entangled single particle states via alternate quantum walks: Entanglement with single-particle states is advantageous in quantum technology because of their ability to encode and process information more securely than their multi-particle analogs. Three-way and nonlocal two-way entangled single-particle states are desirable in this context. Herein, we generate three-way entanglement from an initially separable state involving three degrees of freedom of a quantum particle, which evolves via a 2D alternate quantum walk employing a resource-saving single-qubit coin. We achieve maximum possible values for the three-way entanglement quantified by the $\pi$-tangle between the three degrees of freedom. We also generate optimal two-way nonlocal entanglement, quantified by the negativity between the nonlocal position degrees of freedom of the particle. This prepared architecture using quantum walks can be experimentally realized with a photon.<|reference_end|>
@article{panda2024designing,
    title={Designing three-way entangled and nonlocal two-way entangled single
  particle states via alternate quantum walks},
    author={Dinesh Kumar Panda, Colin Benjamin},
    journal={arXiv preprint arXiv:2402.05080},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.05080},
    primaryClass={quant-ph cond-mat.dis-nn cs.SY eess.SY physics.optics}
}