Mastandrea, C., & Chien, C.-C. (2024). Robustness and classical proxy of entanglement in variants of quantum walk. arXiv preprint arXiv:2408.05597v2.
This research paper investigates the robustness of single-particle entanglement (SPE) between internal and positional degrees of freedom in three quantum walk (QW) variants (conventional, symmetric, and split-step) subject to time- and spatially-dependent classical randomness. The study also proposes a classical quantity called "overlap" as a proxy for entanglement entropy, aiming to simplify experimental entanglement measurement in QW systems.
The researchers simulated the three QW variants on a 1D lattice with open boundary conditions. They introduced time- and spatially-dependent randomness into the coin operator, analyzing the resulting probability distributions and entanglement entropy. The "overlap," defined as the integral of the product of probability distributions for the two internal states, was introduced and compared with the entanglement entropy to assess its validity as a proxy.
The research demonstrates the resilience of SPE in QWs against classical randomness, highlighting the potential of QWs for quantum information processing applications. The proposed "overlap" provides an experimentally accessible method for inferring entanglement in QW systems, although limitations exist in specific scenarios with high population imbalance.
This study contributes to the understanding of entanglement dynamics in open quantum systems, particularly in the context of QWs. The findings have implications for developing robust quantum information processing protocols and provide a practical tool for experimental entanglement characterization.
The study primarily focused on 1D QWs. Investigating higher-dimensional QWs and exploring other classical proxies for entanglement could further enhance the understanding of entanglement in open quantum systems. Additionally, experimental validation of the proposed "overlap" as an entanglement measure in various QW platforms would be valuable.
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by Christopher ... at arxiv.org 10-15-2024
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