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Comparative Study of Variations in Quantum Approximate Optimization Algorithms for the Traveling Salesman Problem
by
Vary, James P.
, Luecke, Glenn
, Basili, Robert A. M.
, Eshaghian-Wilner, Mary Mehrnoosh
, Qian, Wenyang
, Khokhar, Ashfaq
in
Algorithms
/ Cities
/ Comparative analysis
/ Comparative studies
/ Computer industry
/ Computer science
/ Feasibility studies
/ Graphs
/ Lagrange multiplier
/ Management science
/ Mathematical models
/ Mathematical optimization
/ MATHEMATICS AND COMPUTING
/ noisy simulation
/ Optimization
/ quantum approximate optimization algorithm
/ Quantum computing
/ quantum simulation
/ Qubits (quantum computing)
/ Simulation
/ Simulators
/ Symmetry
/ Traveling salesman problem
/ variational algorithms
2023
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Comparative Study of Variations in Quantum Approximate Optimization Algorithms for the Traveling Salesman Problem
by
Vary, James P.
, Luecke, Glenn
, Basili, Robert A. M.
, Eshaghian-Wilner, Mary Mehrnoosh
, Qian, Wenyang
, Khokhar, Ashfaq
in
Algorithms
/ Cities
/ Comparative analysis
/ Comparative studies
/ Computer industry
/ Computer science
/ Feasibility studies
/ Graphs
/ Lagrange multiplier
/ Management science
/ Mathematical models
/ Mathematical optimization
/ MATHEMATICS AND COMPUTING
/ noisy simulation
/ Optimization
/ quantum approximate optimization algorithm
/ Quantum computing
/ quantum simulation
/ Qubits (quantum computing)
/ Simulation
/ Simulators
/ Symmetry
/ Traveling salesman problem
/ variational algorithms
2023
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Comparative Study of Variations in Quantum Approximate Optimization Algorithms for the Traveling Salesman Problem
by
Vary, James P.
, Luecke, Glenn
, Basili, Robert A. M.
, Eshaghian-Wilner, Mary Mehrnoosh
, Qian, Wenyang
, Khokhar, Ashfaq
in
Algorithms
/ Cities
/ Comparative analysis
/ Comparative studies
/ Computer industry
/ Computer science
/ Feasibility studies
/ Graphs
/ Lagrange multiplier
/ Management science
/ Mathematical models
/ Mathematical optimization
/ MATHEMATICS AND COMPUTING
/ noisy simulation
/ Optimization
/ quantum approximate optimization algorithm
/ Quantum computing
/ quantum simulation
/ Qubits (quantum computing)
/ Simulation
/ Simulators
/ Symmetry
/ Traveling salesman problem
/ variational algorithms
2023
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Comparative Study of Variations in Quantum Approximate Optimization Algorithms for the Traveling Salesman Problem
Journal Article
Comparative Study of Variations in Quantum Approximate Optimization Algorithms for the Traveling Salesman Problem
2023
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Overview
The traveling salesman problem (TSP) is one of the most often-used NP-hard problems in computer science to study the effectiveness of computing models and hardware platforms. In this regard, it is also heavily used as a vehicle to study the feasibility of the quantum computing paradigm for this class of problems. In this paper, we tackle the TSP using the quantum approximate optimization algorithm (QAOA) approach by formulating it as an optimization problem. By adopting an improved qubit encoding strategy and a layer-wise learning optimization protocol, we present numerical results obtained from the gate-based digital quantum simulator, specifically targeting TSP instances with 3, 4, and 5 cities. We focus on the evaluations of three distinctive QAOA mixer designs, considering their performances in terms of numerical accuracy and optimization cost. Notably, we find that a well-balanced QAOA mixer design exhibits more promising potential for gate-based simulators and realistic quantum devices in the long run, an observation further supported by our noise model simulations. Furthermore, we investigate the sensitivity of the simulations to the TSP graph. Overall, our simulation results show that the digital quantum simulation of problem-inspired ansatz is a successful candidate for finding optimal TSP solutions.
Publisher
MDPI AG,MDPI
Subject
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