9 citations · 13 across the 7 of their papers we have counts for
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Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
Yu Cao, Mingfeng He, Xiantao Li
Stochastic unraveling schemes are powerful computational tools for simulating Lindblad equations, offering significant reductions in memory requirements. However, this advantage is…
Quantum Neural Ordinary and Partial Differential Equations
Yu Cao, Shi Jin, Nana Liu
We introduce a unified framework -- Quantum Neural Ordinary and Partial Differential Equations (QNODEs and QNPDEs) -- which extends the continuous-time formalism of classical neura…
Unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics
Yu Cao, Shi Jin, Nana Liu
Recently, there has been growing interest in simulating time-dependent Hamiltonians using quantum algorithms, driven by diverse applications, such as quantum adiabatic computing. W…
Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations
Yu Cao, Shi Jin, Nana Liu
Non-autonomous dynamical systems appear in a very wide range of interesting applications, both in classical and quantum dynamics, where in the latter case it corresponds to having…