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quant-ph2026
Quantum algorithm for solving high-dimensional linear stochastic differential equations via amplitude encoding of the noise term
Koichi Miyamoto
This work studies quantum algorithms to solve high-dimensional stochastic differential equations (SDEs) $\mathrm{d} \mathbf{X}_t = A(t) \mathbf{X}_t \mathrm{d} t + B(t) \mathrm{d}…
quant-ph2025
Quantum algorithm for solving McKean-Vlasov stochastic differential equations
Koichi Miyamoto
Quantum Monte Carlo integration, a quantum algorithm for calculating expectations that provides a quadratic speed-up compared to its classical counterpart, is now attracting increa…
quant-ph2024
Improved quantum algorithm for calculating eigenvalues of differential operators and its application to estimating the decay rate of the perturbation distribution tail in stochastic inflation
Koichi Miyamoto, Yuichiro Tada
Quantum algorithms for scientific computing and their applications have been studied actively. In this paper, we propose a quantum algorithm for estimating the first eigenvalue of…