Towards QUBO formulation of WMN joint link scheduling and routing for quantum computers

Kari Seppänen; Jorma Kilpi

Towards QUBO formulation of WMN joint link scheduling and routing for quantum computers

Research output: Contribution to conference › Conference Poster › Scientific

Abstract

Link scheduling and routing in Wireless Mesh Networks (WMN) are essential problems in optimal resource utilization. To find an optimal solution, link scheduling and routing should be solved as a joint problem but this is challenging as link scheduling alone requires solving maximum weighted independent set (MWIS) problem, which is known to be NP-hard.

Here we consider a millimeter wave (mmW) WMN that operates in E band (70–90 GHz), which enables us to use ”pseudowire” assumption (interference can be mostly ignored). The system operates in TDM mode with fixed-length time slots. There are some physical and technical constraints (depending on node type) that define which links can be active at the same time.

The optimization goal is to minimize worst case edge-to-edge delays. In earlier work we have solved link scheduling and routing problem with heuristic classical algorithms but here we are looking for reformulating the problem for NISQ devices.

Original language	English
Publication status	Published - Sept 2025
MoE publication type	Not Eligible
Event	Finnish Quantum Days, FQD 2025 - Aalto University Töölö, Helsinki, Finland Duration: 3 Sept 2025 → 4 Sept 2025

Conference

Conference	Finnish Quantum Days, FQD 2025
Country/Territory	Finland
City	Helsinki
Period	3/09/25 → 4/09/25

Funding

Our study is funded by Business Finland, see https://www.cohqca.fi/ for further information.

Keywords

Wireless Mesh Network
link scheduling
routing algorithm
QUBO

Access to Document

https://www.cohqca.fi/wp-content/uploads/FQD25_joint_routing_and_link_scheduling.pdf

COHQCA: Combinatorial optimization with hybrid quantum-classical algorithms
Seppänen, K. (Manager), Kilpi, J. (Participant), Reittu, H. (Participant), Hieta-aho, E. (Participant), Rautell, M. (Participant), Kotovirta, V. (Participant), Ollikainen, V. (Participant), Chen, T. (Participant), Apilo, O. (Participant) & Lönnqvist, A. (Owner)
1/07/23 → 31/12/25
Project: Business Finland project

Cite this

@conference{1c6bf00a6da64dc49cdd521154b1c94d,

title = "Towards QUBO formulation of WMN joint link scheduling and routing for quantum computers",

abstract = "Link scheduling and routing in Wireless Mesh Networks (WMN) are essential problems in optimal resource utilization. To find an optimal solution, link scheduling and routing should be solved as a joint problem but this is challenging as link scheduling alone requires solving maximum weighted independent set (MWIS) problem, which is known to be NP-hard. Here we consider a millimeter wave (mmW) WMN that operates in E band (70–90 GHz), which enables us to use ”pseudowire” assumption (interference can be mostly ignored). The system operates in TDM mode with fixed-length time slots. There are some physical and technical constraints (depending on node type) that define which links can be active at the same time. The optimization goal is to minimize worst case edge-to-edge delays. In earlier work we have solved link scheduling and routing problem with heuristic classical algorithms but here we are looking for reformulating the problem for NISQ devices.",

keywords = "Wireless Mesh Network, link scheduling, routing algorithm, QUBO",

author = "Kari Sepp{\"a}nen and Jorma Kilpi",

year = "2025",

month = sep,

language = "English",

note = "Finnish Quantum Days, FQD 2025 ; Conference date: 03-09-2025 Through 04-09-2025",

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TY - CONF

T1 - Towards QUBO formulation of WMN joint link scheduling and routing for quantum computers

AU - Seppänen, Kari

AU - Kilpi, Jorma

PY - 2025/9

Y1 - 2025/9

N2 - Link scheduling and routing in Wireless Mesh Networks (WMN) are essential problems in optimal resource utilization. To find an optimal solution, link scheduling and routing should be solved as a joint problem but this is challenging as link scheduling alone requires solving maximum weighted independent set (MWIS) problem, which is known to be NP-hard. Here we consider a millimeter wave (mmW) WMN that operates in E band (70–90 GHz), which enables us to use ”pseudowire” assumption (interference can be mostly ignored). The system operates in TDM mode with fixed-length time slots. There are some physical and technical constraints (depending on node type) that define which links can be active at the same time. The optimization goal is to minimize worst case edge-to-edge delays. In earlier work we have solved link scheduling and routing problem with heuristic classical algorithms but here we are looking for reformulating the problem for NISQ devices.

AB - Link scheduling and routing in Wireless Mesh Networks (WMN) are essential problems in optimal resource utilization. To find an optimal solution, link scheduling and routing should be solved as a joint problem but this is challenging as link scheduling alone requires solving maximum weighted independent set (MWIS) problem, which is known to be NP-hard. Here we consider a millimeter wave (mmW) WMN that operates in E band (70–90 GHz), which enables us to use ”pseudowire” assumption (interference can be mostly ignored). The system operates in TDM mode with fixed-length time slots. There are some physical and technical constraints (depending on node type) that define which links can be active at the same time. The optimization goal is to minimize worst case edge-to-edge delays. In earlier work we have solved link scheduling and routing problem with heuristic classical algorithms but here we are looking for reformulating the problem for NISQ devices.

KW - Wireless Mesh Network

KW - link scheduling

KW - routing algorithm

KW - QUBO

M3 - Conference Poster

T2 - Finnish Quantum Days, FQD 2025

Y2 - 3 September 2025 through 4 September 2025

ER -

Towards QUBO formulation of WMN joint link scheduling and routing for quantum computers

Abstract

Conference

Funding

Keywords

Access to Document

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Projects

COHQCA: Combinatorial optimization with hybrid quantum-classical algorithms

Cite this