Grover Adaptive Search for Maximum Likelihood Detection of Generalized Spatial Modulation

2024/08/24 by Kein Yukiyoshi, Taku Mikuriya, Yukiyoshi, Kein +7 · 2 citations
Engineering · #Advanced Wireless Communication Technologies #FOS: Electrical engineering #FOS: Physical sciences #Optical Wireless Communication Technologies #Quantum Physics (quant-ph) #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2408.13531

openalex publication_date 2024/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a quantum-assisted solution for the maximum likelihood detection (MLD) of generalized spatial modulation (GSM) signals. Specifically, the MLD of GSM is first formulated as a novel polynomial optimization problem, followed by the application of a quantum algorithm, namely, the Grover adaptive search. The performance in terms of query complexity of the proposed method is evaluated and compared to the classical alternative via a numerical analysis, which reveals that under fault-tolerant quantum computation, the proposed method outperforms the classical solution if the number of data symbols and the constellation size are relatively large.

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