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14 Quantum computing for solving data association problems

An introduction to quantum computing and application example for data association in multi target tracking
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The Future of Information Fusion
This chapter is in the book The Future of Information Fusion

Abstract

This chapter explores the intersection of sensor data fusion, target tracking, and quantum computing. It begins with a foundational introduction to quantum computing, covering key concepts, such as qubits, the Bloch sphere, and quantum gates. The chapter then delves into Grover’s algorithm and adiabatic quantum computing. The latter is then used to solve the data association problem in multi-target tracking by a maximum a posteriori estimate of the association matrix. Specifically, it discusses how adiabatic quantum computing can be applied to the k-rooks problem, providing a general formulation and showcasing exemplary results that demonstrate the advantages of quantum approaches in sensor data fusion.

Abstract

This chapter explores the intersection of sensor data fusion, target tracking, and quantum computing. It begins with a foundational introduction to quantum computing, covering key concepts, such as qubits, the Bloch sphere, and quantum gates. The chapter then delves into Grover’s algorithm and adiabatic quantum computing. The latter is then used to solve the data association problem in multi-target tracking by a maximum a posteriori estimate of the association matrix. Specifically, it discusses how adiabatic quantum computing can be applied to the k-rooks problem, providing a general formulation and showcasing exemplary results that demonstrate the advantages of quantum approaches in sensor data fusion.

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