3 citations · 4 across the 7 of their papers we have counts for
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Quantum algorithm for high-dimensional nonlinear stochastic differential equations based on Carleman linearization
Koichi Miyamoto
Addressing nonlinear numerical problems in quantum computing remains challenging, but several approaches, including Carleman linearization (CL), have been proposed to construct qua…
Calculating the squeezed bispectrum in stochastic inflation by Monte Carlo simulation
Koichi Miyamoto, Yuichiro Tada
The bispectrum of cosmological perturbations is an important probe of inflation and the underlying particle physics. However, calculating it becomes challenging in inflation models…
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}…
Quantum analog-encoding for correlated Gaussian vectors and their exponentiation with application to rough volatility
Tassa Thaksakronwong, Koichi Miyamoto
Quantum computing may speed up numerical problems involving large matrices that are demanding for classical computers, and active research on this possibility is ongoing. In this w…