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JIJ and Mitsubishi Electric to test quantum–classical linear solver for thermal-fluid analysis

The joint proposal from JIJ and Mitsubishi Electric, “Performance verification of a quantum–classical hybrid linear solver for thermal-fluid analysis,” has been selected for the JHPC-quantum test user program. The two companies will evaluate the performance and technical challenges of a method that combines quantum computing and HPC to solve the linear equations used in thermal-fluid analysis.

✍️ Quantum Index Analysis
Explains the technical and business significance behind the announcement and the evaluation points that are not obvious from numbers or headline statements. Read our exclusive analysis ↓

Overview

Mitsubishi Electric is the lead proposer and JIJ is a co-proposer in the program. Combining Mitsubishi Electric’s knowledge of thermal-fluid analysis with JIJ’s quantum computing expertise, they will carry out evaluations assuming industrial use cases. Thermal-fluid analysis is used in the design and development of transport equipment, electronic components, HVAC systems, and more. This effort aims at improving computational efficiency for large-scale, high-accuracy simulations by applying a quantum–classical hybrid algorithm to the solution of the linear equations used in such analyses. JHPC-quantum is a project led by RIKEN and SoftBank to research, develop, and demonstrate an integration platform linking quantum computers and supercomputers. The test user program solicits application proposals that use the platform under development, seeking promising use cases and feedback to improve the platform.

Key points

  • Apply a quantum–classical hybrid algorithm to solve the linear equations used in thermal-fluid analysis
  • Mitsubishi Electric leads the proposal and JIJ joins as co-proposer to evaluate performance and technical challenges
  • Use the integration platform under development by JHPC-quantum linking quantum computers and supercomputers
  • Reduction in computation time, applicable problem sizes, and any advantage over classical computationClassical Computing / Classical Computation / Classical Computing / Classical ComputationA computation method that uses bits of 0 and 1; the form of computation performed by the computers commonly used today.QI NoteUsed as a point of comparison with quantum computing, but it can encompass CPUs, GPUs, supercomputers, and specialized algorithms, so care should be taken about the conditions of comparison. have not yet been demonstrated

Technical and business implications

Technically, it is significant that the verification target for quantum–HPC integration is narrowed to solving linear equations important for industrial simulations. Rather than an abstract algorithmic evaluation, this effort will incorporate thermal-fluid analysis expertise to examine practical performance and challenges. From a business perspective, this is an example of exploring applicability to design calculations for transport equipment, electronic components, HVAC systems, and similar domains. However, this does not yet mean adoption by customer projects or practical deployment, and superiority over classical computation remains unconfirmed.

Points to watch

Future evaluation will hinge on which sizes and conditions of linear equations are used, and how computation time and accuracy are compared against existing classical solvers. Overall performance including data transfer between quantum processors and HPC, and behavior when scaling up problem sizes, will also be important. It will also be worth observing whether the verification results feed back into improvements of the JHPC-quantum platform and whether the evaluation advances to conditions closer to real design problems.

✍️ Quantum Index Analysis

The key question for this research is not merely whether quantum computing can be applied to thermal-fluid analysis, but whether it can demonstrate practical advantages over established classical linear solvers. In computational fluid dynamics (CFD), highly developed classical methods are already in practical use, and it will not be easy for quantum computing to surpass them.

Attempts to apply Ising machines to continuum simulations are not new. In 2022, a research group at Keio University reported a method to convert a phase-field model of phase separation into a QUBO formulation (doi.org/10.1038/s41598-022-14735-4). In 2024, a method was reported that discretizes the advection–diffusion equation and transforms a residual-minimization problem into a QUBO (doi.org/10.1088/1873-7005/ad8d09). The latter reported issues including accuracy degradation as variable count increases, sensitivity to matrix condition number, and implementation challenges on real quantum annealers.

Given JIJ’s mathematical optimization techniques, an approach using QUBO formulation for Ising machines is conceivable, but the specific algorithm has not been disclosed. If a similar approach is used, differentiation from prior research and improvements in scalability will be essential. Moreover, practical CFD requires handling various boundary conditions such as walls and inflow/outflow boundaries and support for unstructured meshes. While it is possible to incorporate boundary conditions into the discretized linear equations, maintaining accuracy and computational efficiency for practical problems with complex boundary conditions remains a separate challenge.

On the business side, it is notable that this joint proposal was made shortly after Mitsubishi Electric invested in JIJ in August 2026. Mitsubishi Electric is already engaged in quantum CAE量子CAE / Quantum CAE / Quantum Computer-Aided EngineeringThe concept of utilizing quantum computers and quantum algorithms for computations performed in CAE, such as simulations and optimizations.QI NoteAt present, rather than referring to a single established computational method, it is a framework that broadly covers the application of quantum computation to areas such as structural analysis and design optimization. When reviewing presentations or publications, check which parts use quantum computation and the scope of verification of actual speedup and effectiveness. research with QunaSys and collaborations with Quantinuum, and this work with JIJ can be seen as expanding its partnerships for industrial application of quantum technologies. However, it is not clear what unique technology JIJ will contribute to this theme or what technical added value they bring beyond existing research results.

This selection is solely for performance verification and does not mean technical superiority has been confirmed. Going forward, it will be important to clarify the algorithms used and how they differ from prior research, and to compare computation time, accuracy, and scalability against existing classical solvers under conditions close to actual thermal-fluid analyses.

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