Development of Dynamic System Applications Using Distributed Quantum-Centric Computing

Tiberiu Stefan Letia (), Camelia Avram, Dahlia Al-Janabi, Ionel Miu and Octavian Cuibus
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Tiberiu Stefan Letia: Department of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
Camelia Avram: Department of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
Dahlia Al-Janabi: Department of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
Ionel Miu: Department of Electrical & Computer Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
Octavian Cuibus: Department of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2025, vol. 13, issue 19, 1-39

Abstract: Many applications of quantum computers require the classical and quantum implementation of dynamic systems (DSs). These applications comprise interacting quantum and classical tasks. While quantum tasks evolve in the quantum domain, classical tasks behave in the classical domain. Besides tackling these kinds of tasks, the computational gap between these domains is covered by the current study. The quantum computing feature All at Once (A@O) executions is appropriate for static systems but less for DSs. The novelty of the proposed approach consists of using Distributed Quantum-Centric Petri Net (DQCPN) models composed of quantum and high-level Petri Nets for specification, design, verification, and implementation of classical–quantum applications. Quantum Processing Units (QPUs) are linked to classical components implementing the control and optimization operations in the proposed application. Many practical applications combine quantum and classical computing to address optimization problems. Quantum computers can be built with a combination of qubits and bosonic qumodes, leading to a new paradigm toward quantum computing. The optimizations are performed by some Evolutionary Algorithms (EAs), including Particle Swarm Optimization (PSO) methods and Genetic Algorithms (GAs). For experiments, an Urban Vehicle Traffic System (UVTS) is used as an open distributed system. The vehicle flows are implemented by discrete qubits, discrete vectors of qubits, or qumodes.

Keywords: quantum-centric computing; hybrid computing; Petri nets; quantum Petri nets; dynamic systems, quantum processor unit control, qubits, and qumodes. (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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