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20202026
most citedVariational quantum algorithm based on the minimum potential energy for solving the Poisson equation

68 citations · 146 across the 11 of their papers we have counts for

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Showing 2024Show all

5 papers · 1 filter

cs.CE2024

Efficient computational homogenization via tensor train format

Yuki Sato, Yuto Lewis Terashima, Ruho Kondo

Real-world physical systems, like composite materials and porous media, exhibit complex heterogeneities and multiscale nature, posing significant computational challenges. Computat…

quant-ph2024★ 16 cited

Quantum algorithm for partial differential equations of non-conservative systems with spatially varying parameters

Yuki Sato, Hiroyuki Tezuka, Ruho Kondo +1

Partial differential equations (PDEs) are crucial for modeling various physical phenomena such as heat transfer, fluid flow, and electromagnetic waves. In computer-aided engineerin…

quant-ph2024

Noise Robustness of Quantum Relaxation for Combinatorial Optimization

Kentaro Tamura, Yohichi Suzuki, Rudy Raymond +5

QRAO (Quantum Random Access Optimization) is a relaxation algorithm that reduces the number of qubits required to solve a problem by encoding multiple variables per qubit using QRA…

quant-ph2024★ 8 cited

Recursive Quantum Relaxation for Combinatorial Optimization Problems

Ruho Kondo, Yuki Sato, Rudy Raymond +1

Quantum optimization methods use a continuous degree-of-freedom of quantum states to heuristically solve combinatorial problems, such as the MAX-CUT problem, which can be attribute…

quant-ph2024★ 24 cited

Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits

Yuki Sato, Ruho Kondo, Ikko Hamamura +2

Solving partial differential equations for extremely large-scale systems within a feasible computation time serves in accelerating engineering developments. Quantum computing algor…