Quantum-Inspired Simulations of Reacting Flows*

The matrix product state (MPS) representation, developed for approximating the state of quantum many-body systems, exploits their correlation structure to accurately capture the underlying physics in a low-rank form (i.e., in a massively reduced state space). Here, this quantum-inspired methodology is employed for simulating chemically reacting flows. In doing so, the governing differential equations representing compressible, reacting flows are recast in the context of MPS, and their dynamics are simulated with various degrees of truncation. Simulations are performed to assess the effects of the Reynolds number, the Mach number, the Damköhler number and the heat release parameter on the structure of the flow. The results via MPS-reduced order solutions are appraised against those generated via direct numerical simulation of the same flows. Advances on the simulation of reacting flows on quantum computing devices are also discussed.