Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles

Mission planning for multiple unmanned aerial vehicles (UAVs) is a complex problem that is expected to be solved by quantum computing. With the increasing application of UAVs, the demand for efficient conflict management strategies to ensure airspace safety continues to increase. In the era of noisy...

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Main Authors: Zhaolong Huang, Qiting Li, Junling Zhao, Meimei Song
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/11/1685
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author Zhaolong Huang
Qiting Li
Junling Zhao
Meimei Song
author_facet Zhaolong Huang
Qiting Li
Junling Zhao
Meimei Song
author_sort Zhaolong Huang
collection DOAJ
description Mission planning for multiple unmanned aerial vehicles (UAVs) is a complex problem that is expected to be solved by quantum computing. With the increasing application of UAVs, the demand for efficient conflict management strategies to ensure airspace safety continues to increase. In the era of noisy intermediate-scale quantum (NISQ) devices, variational quantum algorithms (VQA) for optimizing parameterized quantum circuits with the help of classical optimizers are currently one of the most promising strategies to gain quantum advantage. In this paper, we propose a mathematical model for the UAV collision avoidance problem that maps the collision avoidance problem to a quadratic unconstrained binary optimization (QUBO) problem. The problem is formulated as an Ising Hamiltonian, then the ground state is solved using two kinds of VQAs: the variational quantum eigensolver (VQE) and the quantum approximate optimization algorithm (QAOA). We select conditional value-at-risk (CVaR) to further promote the performance of our model. Four examples are given to validate that with our method the probability of obtaining a feasible solution can exceed 90% based on appropriate parameters, and our method can enhance the efficiency of a UAVs’ collision avoidance model.
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spelling doaj.art-e48e33a71db048d391417d27f2ca45782023-11-24T08:19:11ZengMDPI AGEntropy1099-43002022-11-012411168510.3390/e24111685Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial VehiclesZhaolong Huang0Qiting Li1Junling Zhao2Meimei Song3College of Science, Tianjin University of Technology, Tianjin 300384, ChinaR & D Department, China Academy of Launch Vehicle Technology, Beijing 100076, ChinaCollege of Science, Tianjin University of Technology, Tianjin 300384, ChinaCollege of Science, Tianjin University of Technology, Tianjin 300384, ChinaMission planning for multiple unmanned aerial vehicles (UAVs) is a complex problem that is expected to be solved by quantum computing. With the increasing application of UAVs, the demand for efficient conflict management strategies to ensure airspace safety continues to increase. In the era of noisy intermediate-scale quantum (NISQ) devices, variational quantum algorithms (VQA) for optimizing parameterized quantum circuits with the help of classical optimizers are currently one of the most promising strategies to gain quantum advantage. In this paper, we propose a mathematical model for the UAV collision avoidance problem that maps the collision avoidance problem to a quadratic unconstrained binary optimization (QUBO) problem. The problem is formulated as an Ising Hamiltonian, then the ground state is solved using two kinds of VQAs: the variational quantum eigensolver (VQE) and the quantum approximate optimization algorithm (QAOA). We select conditional value-at-risk (CVaR) to further promote the performance of our model. Four examples are given to validate that with our method the probability of obtaining a feasible solution can exceed 90% based on appropriate parameters, and our method can enhance the efficiency of a UAVs’ collision avoidance model.https://www.mdpi.com/1099-4300/24/11/1685collision avoidance of UAVsvariational quantum algorithmsvariational quantum eigensolverquantum approximate optimization algorithmconditional value-at-risk
spellingShingle Zhaolong Huang
Qiting Li
Junling Zhao
Meimei Song
Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles
Entropy
collision avoidance of UAVs
variational quantum algorithms
variational quantum eigensolver
quantum approximate optimization algorithm
conditional value-at-risk
title Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles
title_full Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles
title_fullStr Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles
title_full_unstemmed Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles
title_short Variational Quantum Algorithm Applied to Collision Avoidance of Unmanned Aerial Vehicles
title_sort variational quantum algorithm applied to collision avoidance of unmanned aerial vehicles
topic collision avoidance of UAVs
variational quantum algorithms
variational quantum eigensolver
quantum approximate optimization algorithm
conditional value-at-risk
url https://www.mdpi.com/1099-4300/24/11/1685
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AT qitingli variationalquantumalgorithmappliedtocollisionavoidanceofunmannedaerialvehicles
AT junlingzhao variationalquantumalgorithmappliedtocollisionavoidanceofunmannedaerialvehicles
AT meimeisong variationalquantumalgorithmappliedtocollisionavoidanceofunmannedaerialvehicles