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Doctorant F/H Algorithmes quantiques dédiés aux systèmes NOMA English PhD Position F/M Improved quantum algorithms for NOMA systems

5 Mai 2023

Catégorie : Doctorant

Doctorant F/H Algorithmes quantiques dédiés aux systèmes NOMA

PhD Position F/M Improved quantum algorithms for NOMA systems

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Objectif de la thèse
L'objectif est de la thèse est d'améliorer les algorithmes quantiques existants, pour les adapter spécifiquement pour les algorithmes de traitement du signal pour les systèmes de transmission d'information NOMA. En particulier, l'objectif est d'améliorer les performances déjà obtenues avec un algorithme basique qui montre que cette approche est prometteuse, voire de proposer de nouveaux algorithmes pour réduire la complexité des algorithmes de détection utilisés en télécommunications, pour la séparation de signaux multiples dans des récepteurs multi-utilisateurs à grande dimension (grand nombre d'antennes, grand nombre de capteurs, ...). Cette problématique
est d'actualité car ce scénario est critique pour l'amélioration des systèmes d'accès IoT massifs ou pour le développement de la 6G.


Cette thèse est financée dans le cadre du projet PEPR 5G.

Les différentes missions lors de la thèse seront financées.

Le/la doctorant.e pourra enseigner à l'INSA si cela est souhaité.


Thesis Objective

The objective is to improve the current quantum algorithms, to customize them for signal processing algorithms for NOMA transmission systems. In particular, the objective is to improve the performances already obtained with a basic algorithm (which proves that this is a promising approach), and ideally designing new algorithms to reduce the complexity of detection algorithms used in telecommunications, for the separation of multiple signals in large multi-user receivers (large number of antennas, large number of sensors, ...). This issue is topical because this scenario is critical for the improvement of massive IoT access systems or for 6G development.

This thesis is funded by the PEPR 5G project.

Travel expenses for missions are covered.

PhD student will have the opportunity to teach in the engineering school INSA if interested.



With the help of his supervisors, the doctoral student will focus on the use of quantum algorithms for blind detection of active users for wireless communications in the uplink. On a first approach, he / she will perform the analysis of quantum algorithms existing in the literature, for communications but also in other fields of application. The objective will be to identify the most relevant approaches for our case study, in order to be able to improve them and propose a dedicated algorithm. The validation of the algorithm will be done by simulation, thanks to the libraries already available, for example in Python, QiSkit. In parallel, he / she will work on the definition of other quantum algorithms.

Detailled subject

In the Internet of Things context, the wireless transmission of short packets has attracted a lot of attention from the scientific community as well as the operators, in particular those resulting from the uplink transmission of several hundred thousand nodes. Current technologies, based on resources reservation prior to transmission, are no longer appropriate. Indeed, their establishment cost (bandwidth, delays) is too large by comparison to the amount of data to be transmitted. Ideally, these resource allocation mechanisms should be completely removed, especially for Ultra Reliable and Low Latency Communications (URLLC) applications [2]. To do so, in NOMA systems (Non-Orthogonal Multiple Access), each node uses a unique coded sequence. This permits, with a high probability, to distinguish it from other nodes [3]. This approach introduces interference (which can be reduced with signal processing techniques), but permits, in theory, to detect at the base station level the subset of active nodes at each instant. However, in practice, the identification of active nodes is very expensive in terms of computing resources. Indeed, all possible combinations must be evaluated to identify the most likely one. With classical algorithms (i.e. non-quantum), the search is performed among non-sortable data. Thus, the maximum reliability is obtained by exhaustive search, whose complexity grows at least linearly in n (the number of users in the considered network). Suboptimal algorithms are used to reduce this complexity, but at the expense of decreased performance (i.e. detection reliability).

Nonetheless, the emergence of quantum technologies opens up new possibilities. Indeed, exhaustive search quantum algorithms permits to test all the combinations simultaneously (thanks to the superposition principle), and to converge in √n iterations [1].

Such algorithms have already been considered for the detection of data transmitted in a multi-user wireless transmission system [6] [7]. In particular, in [8] and [9], we have applied Grover Algorithm for the identification of active nodes, and shown the accuracy of this approach. Nonetheless, numerous axes of improvment have been identified. The objective of this thesis is to propose new multi-user detection algorithms for wireless transmission systems, based on a quantum architecture.


[1] K. Grover, “A fast quantum mechanical algorithm for databasesearch,” inProc. 1996 ACM Symposium on the Theory of Computing,pp. 212–219

[2] P. Schulz, M. Matthe, H. Klessig, M. Simsek, G. Fettweis, J. Ansari, S. A. Ashraf, B. Almeroth, J. Voigt, I. Riedel, A. Puschmann, A. Mitschele-Thiel, M. Muller, T. Elste, and M. Windisch, “Latency Critical IoT Applications in 5G: Perspective on the Design of Radio Interface and Network Architecture,”IEEE Communications Magazine vol. 55, pp. 70–78, feb 2017

[3] M. Shirvanimoghaddam, M. Dohler, and S. J. Johnson, “Massive Non-Orthogonal Multiple Access for Cellular IoT: Potentials and Limitations,”IEEE Communications Magazine, vol. 55, no. 9, pp. 55–61, 2017.

[4] R. Xie, H. Yin, X. Chen, and Z. Wang, “Many Access for Small Packets Based on Precoding and Sparsity-Aware Recovery,” IEEE Transactions on Communications , vol. 64, pp. 4680–4694, nov 20

[5] Duchemin, Diane, Jean-Marie Gorce, and Claire Goursaud. "Low complexity Detector for massive uplink random access with NOMA in IoT LPWA networks." WCNC 2019.

[6] Botsinis, Panagiotis, et al. "Quantum Search Algorithms for Wireless Communications." IEEE Communications Surveys & Tutorials 21.2 (2018): 1209-1242.

[7] Ye, Wenjing, et al. "Quantum Search-Aided Multi-User Detection for Sparse Code Multiple Access." IEEE Access 7 (2019): 52804-52817.

[8] Habibie, Muhammad Idham, Jihad Hamie, and Claire Goursaud. "Adaptation of Grover's Quantum Algorithm to Multiuser Detection in an OCDMA System." 2021 IEEE Symposium On Future Telecommunication Technologies (SOFTT). IEEE, 2021.

[9] Habibie, Muhammad Idham, Jihad Hamie, and Claire Goursaud. "A Performance Comparison of Classical and Quantum Algorithm for Active User Detection." 2022 IEEE 23rd International Workshop on Signal Processing Advances in Wireless Communication (SPAWC). IEEE, 2022.