Bulletin of the American Physical Society
75th Annual Meeting of the Division of Fluid Dynamics
Volume 67, Number 19
Sunday–Tuesday, November 20–22, 2022; Indiana Convention Center, Indianapolis, Indiana.
Session G18: Quantum Computing for Fluids |
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Chair: Spencer Bryngelson, Georgia Tech Room: 145 |
Sunday, November 20, 2022 3:00PM - 3:13PM |
G18.00001: Application of Quantum Approximate Optimization to Reduced Order Modeling Katherine J Asztalos, Romit Maulik, Rene Steijl Quantum computing is an advancing area of research in which computer hardware and algorithms are developed to take advantage of quantum mechanical phenomena. In recent studies, quantum algorithms have shown promise in solving linear systems of equations. Reduced-order modeling (ROM) algorithms for studying fluid dynamics has shown success in identifying linear operators that can describe flowfields. Dynamic mode decomposition (DMD) is a particularly useful method in which a linear operator is identified from data. In this work, DMD is reformulated as an optimization problem to propagate the state of the linearized dynamical system on a quantum computer. Quadratic Unconstrained Binary Optimization (QUBO), a technique for optimizing quadratic polynomials in binary variables, allows for quantum annealing algorithms to be applied. A quantum circuit model (Quantum Approximation Optimization Algorithm, QAOA) is utilized. Results are shown for predictions made by QUBO and QAOA on flow over a 2D cylinder at Re = 220 and flow over a NACA0009 airfoil at Re = 500 and α = 15°. The quantum-ROM predictions are found to depend on the precision. Comparisons with DMD predictions from a classical computer algorithm are made, as well as an analysis of relevant speedups and computational complexity. |
Sunday, November 20, 2022 3:13PM - 3:26PM |
G18.00002: Quantum lattice gas algorithm for fluid flow simulations Fatima Ezahra Chrit, Sriharsha Kocherla, Alexander Alexeev, Spencer H Bryngelson Large numerical simulations of fluid flows are required in many engineering applications. Non-classical hardware architectures and numerical algorithms promise to speed up simulations dramatically. Recent progress in mesoscale numerical modeling, quantum computing, and algorithm design is poised to fulfill this promise. Specifically, lattice methods are well suited for quantum computing due to their inherent statistical nature, resolving the probability distributions of fictitious fluid particles on a lattice. We demonstrate this concept by devising a quantum lattice gas automata technique. It revises an existing measurement-based strategy. Instead, our algorithm approximates the qubit relative phases and subtracts them at the end of each time step, delaying the need for measurement to the end of the computation. Results are shown for archetypical PDEs: the diffusion and Burgers' equations. |
Sunday, November 20, 2022 3:26PM - 3:39PM |
G18.00003: Light quantum is graviton and light quantum law of universal gravitation Han y yong Quan For the same type of photon, the mass m and wavelength λ are determined, and λ is the distance between two photons. The magnitude of the gravitational force is proportional to the product of the mass and inversely proportional to the square of the distance. For the same photons: m2λ2 must be equal to a constant, and the square root of both sides is obtained: mλ=H——(1), where m is the mass of the photon. The rotation of the macroscopic object makes the radiation centripetal, the radiation of the two objects is centripetal, the vector combination of the gravitational force between the photons is the macroscopic gravitational force between the two objects, and the photon is the graviton. De Broglie wavelength formula: p=mc=h/λ——(2), combine (1) and (2) to get H=h/c——(3). Simultaneous equations (1) and (3) can be solved as follows: m=h/λc, the mass m and wavelength λ of the photon, the gravitational constant is essentially a mass constant, so the gravitational constant can be applied to the microscopic particle—photon, F=Gm2/λ2=Gh2/λ4c2, F=C/λ4, where C= Gh2/c2, the law of universal gravitation of optical quantum mechanics: The magnitude of the gravitational force between two photons of the same kind is inversely proportional to the fourth power of the quantum wavelength. |
Sunday, November 20, 2022 3:39PM - 3:52PM |
G18.00004: End-to-end quantum computational simulation of fluid flows on QuOn Sachin Satish Bharadwaj, Katepalli R Sreenivasan In the recent past, quantum algorithms have shown promise to accelerate computational research in various fields. However, nonlinear classical systems are still quite arduous to simulate on quantum machines. To evaluate their viability, one needs a full gate level quantum simulation, while also extracting the velocity fields for benchmarking. To this end, we develop a new, high performance quantum simulator, specific to fluid dynamics called "QuOn" equipped with full gate level simulation capabilities. Using QuOn and Qiskit (IBM) we first perform a full end-to-end simulation of time-dependent Poiseuille and Couette flows, using a modified quantum linear solver algorithm and evaluating its performance. We show as a proof-of-concept, that these quantum algorithms can capture the physics quite accurately given the near-term quantum resources with quantum advantage. We describe how to design these circuits to perform accurate simulations. We also discuss ongoing efforts to encode nonlinearity in the problem of solving 1D Burgers flow. |
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