High-dimensional GHZ-based multi-party quantum key agreement: rigorous security, fairness, and loss tolerance
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Springer Nature (SpringerOpen)
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Abstract
This paper presents an efficient approach for quantum state estimation based on low-rank matrix completion. The proposed method reconstructs pure quantum states using a significantly reduced number of measurement settings while avoiding the need for experimentally challenging entangling measurements. By relying only on local measurements, the method lowers computational and experimental complexity and improves the practicality of quantum state tomography on current quantum devices. Numerical evaluations demonstrate that the proposed technique achieves high reconstruction accuracy and outperforms several existing approaches when estimating multi-qubit quantum states. The method provides an effective and scalable solution for characterizing quantum systems and can serve as a valuable tool for benchmarking and validating the performance of present and future quantum computing platforms.
Description
This article presents a practical and efficient method for quantum state estimation using low-rank matrix completion techniques. The proposed approach reconstructs pure quantum states from a limited number of local measurements, reducing both computational and experimental complexity compared with conventional quantum state tomography methods. The study demonstrates that accurate state reconstruction can be achieved without relying on entangling measurements, making the method suitable for current noisy intermediate-scale quantum (NISQ) devices. Experimental evaluations and numerical simulations validate the effectiveness of the proposed framework, highlighting its potential for scalable quantum state characterization, verification, and benchmarking in quantum information processing.