Mathematical models Archives - IEEE Transactions on Quantum Engineering

Impact of High-Brightness Entangled Photon Pairs on CHSH Inequality Experiment

March 30, 2026Jin-Woo Kim, Heonoh Kim, June Koo Kevin RheeOpen AccessAttenuation, Brightness, Correlation, Detectors, Mathematical models, Photonics, Quantum entanglement, Quantum mechanics, Satellites, Standards

Abstract: Verifying the violation of Bell’s inequality is one of the most representative methods to demonstrate that entangled photon pairs prepared in a quantum optics-based system exhibit quantum properties. While experiments on Bell inequality violations have been theoretically well-established and extensively conducted to implement various quantum information technologies in laboratory settings, mathematical modeling for systematically […]

Beyond asymptotic scaling: Comparing functional quantum linear solvers

March 16, 2026Andreea-Iulia Lefterovici, Michael Perk, Debora Ramacciotti, Antonio F. Rotundo, S. E. Skelton, Martin SteinbachOpen Access, Quantum ComputingAccuracy, Approximation algorithms, Benchmark testing, Complexity theory, Costs, Hardware, Linear systems, Mathematical models, Quantum algorithm, Standards

Abstract: Solving systems of linear equations is a key subroutine in many quantum algorithms. In the last 15 years, many quantum linear solvers (QLS) have been developed, competing to achieve the best asymptotic worst-case complexity. Most QLS assume fault-tolerant quantum computers, so they cannot yet be benchmarked on real hardware. Because an algorithm with better […]

Black-Box Optimization of the Storage Location Assignment Problem in Logistics Centers Using an Annealing Algorithm

December 19, 2025Hiromitsu Kigure Takeshi Baba Makoto Taniguchi Hirotaka KajiQuantum ComputingAnnealing, Closed box, Genetic algorithms, Hardware, Legged locomotion, Linear programming, Logistics, Mathematical models, Optimization, Quantum annealing

Abstract: The manufacturing industry encounters numerous optimization problems, one of which is the optimization of storage location assignment (OSLA) problem in logistics. OSLA is a combinatorial optimization problem focused on improving the efficiency of picking operations in logistics centers. We explore quantum annealing (QA) as a potential solution to combinatorial optimization problems and investigate its […]

Robust H∞ Uncertainties-Tolerant Observer-Based Reference Quantum Trajectory Tracking Control for Lindblad Master Equation

December 18, 2025Shin-Yi Wen Bor-Sen Chen Chun-Liang LinEnabling TechnologiesControl design, Estimation, Feedback control, Mathematical models, Optimization, Pollution measurement, Quantum state, Quantum system, Trajectory, Trajectory tracking

Abstract: In this article, a robust output feedback reference quantum trajectory tracking control design is proposed through the simultaneous continuous weak measurement of noncommuting observables. Using the robust H∞ uncertainties-tolerant observer-based reference quantum trajectory tracking control (UTOBRQTTC) design strategy, the proposed method can robustly estimate the quantum trajectory and robustly track a sequence of any […]

Quantum Wavelength-Division Multiplexing and Multiple-Access Communication Systems and Networks: Advanced Applications

May 12, 2025Marzieh Bathaee; Mohammad Rezai; Jawad A. SalehiQuantum Networking & Communications, UncategorizedCommunication systems, Mathematical models, Network topology, Optical fiber amplifiers, Optical fiber networks, Quantum networks, Receivers, Stars, Topology, WDM networks

Abstract: A cost-effective global quantum Internet may be developed using the existing communication infrastructure. This article examines the quantum version of three conventional wavelength-division-multiplexing and multiple-access (WDM) communication systems and networks. They are Lambdanet-based broadcast WDM networks, quantum routers based on a waveguide grating router, and fiber-to-the-quantum nodes that are fed by two opposing and […]

Modeling and Performance Evaluation of Hybrid Classical–Quantum Serverless Computing Platforms

May 6, 2025Claudio CicconettiQuantum ComputingComputational modeling, Containers, Delays, Logic gates, Mathematical models, Numerical models, Optimization, Quantum circuit, Quantum computing, Serverless computing

Abstract: While quantum computing technologies are evolving toward achieving full maturity, hybrid algorithms, such as variational quantum computing, are already emerging as valid candidates to solve practical problems in fields, such as chemistry and operations research. This situation calls for a tighter and better integration of classical and quantum computing infrastructures to improve efficiency and […]

Emulation of Density Matrix Dynamics With Classical Analog Circuits

March 19, 2025Anthony J. Cressman, Rahul SarpeshkarQuantum ComputingAnalog circuits, Capacitors, Emulation, Mathematical models, Noise, Noise measurement, Quantum computing, Quantum system, Vectors, Voltage

Abstract: Analog circuits have emerged as a valuable quantum emulation and simulation platform. Specifically, they have been experimentally shown to excel in emulating coherent state vector dynamics and motifs of quantum circuits, such as the quantum Fourier transform, tensor product superpositions, two-level systems such as Josephson junctions, and nuclear magnetic resonance state dynamics, all on […]

Explicit Quantum Circuit for Simulating the Advection–Diffusion–Reaction Dynamics

February 21, 2025Claudio Sanavio, Enea Mauri, Sauro SucciQuantum ComputingComputational fluid dynamics, Convergence, Encoding, Logic gates, Logistics, Mathematical models, Polynomials, Quantum algorithm, Quantum circuit, Qubit

We assess the convergence of the Carleman linearization of advection–diffusion–reaction (ADR) equations with a logistic nonlinearity. It is shown that five Carleman iterates provide a satisfactory approximation of the original ADR across a broad range of parameters and strength of nonlinearity. To assess the feasibility of a quantum algorithm based on this linearization, we analyze […]

Improving Urban Traffic Mobility via a Versatile Quantum Annealing Model

September 5, 2023Andrea MarchesinQuantum EngineeringAnnealing, Computational modeling, Mathematical models, Optimization, Quantum annealing, Quantum mechanics, Roads

The growth of cities and the resulting increase in vehicular traffic pose significant challenges to the environment and citizens’ quality of life. To address these challenges, a new algorithm has been proposed that leverages the quantum annealing paradigm and D-wave’s machines to optimize the control of traffic lights in cities. The algorithm considers traffic information […]

Analysis of the Vehicle Routing Problem Solved via Hybrid Quantum Algorithms in the Presence of Noisy Channels

August 10, 2023Nishikanta MohantyQuantum ComputingApproximation algorithms, Mathematical models, Minimization, Optimization, Quantum computing, Software, Stationary state

The vehicle routing problem (VRP) is an NP-hard optimization problem that has been an interest of research for decades in science and industry. The objective is to plan routes of vehicles to deliver goods to a fixed number of customers with optimal efficiency. Classical tools and methods provide good approximations to reach the optimal global […]