Eigenvalue-based quantum state verification of three-qubit W class states

Daipengwei Bao, Min Liu, Yangwei Ou, Qingshan Xu, Qin Li and Xiaoqing Tan

Physica A: Statistical Mechanics and its Applications, 2024, vol. 639, issue C

Abstract: In quantum many-body systems, W class states are typical examples of states with genuine multipartite entanglement. They have been found to be valuable resources in many quantum information processing tasks. However, the characterization and verification of W class states still remains an intractable problem. Here we first propose an eigenvalue-based verification protocol consisting of four practical adaptive local projective measurement tests, and obtain the optimal test probabilities with particle swarm optimization algorithm. The efficiency achieved by this protocol is far from satisfactory when compared with the theoretical upper bound. Then by utilizing the symmetry of the target states and a class of specific unitaries, we optimize the original verification strategy based on group theory. In this case, our new protocol can realize the efficient verification of three-qubit W class states.

Keywords: Quantum many-body systems; Quantum state verification; Adaptive projective measurements; Verification efficiency optimization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:639:y:2024:i:c:s0378437124001900

DOI: 10.1016/j.physa.2024.129681

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