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Rapid mixing of quantum spin chains at any finite temperature
Leeseok Kim
We prove that a quasi-local quantum Gibbs sampler rapidly mixes to the Gibbs state of any 1D finite-range Hamiltonian at all finite temperatures in $\mathcal{O}\left(\log (n/\varep…
Randomized product formulas beyond optimal deterministic scaling
Leeseok Kim, Luis Pedro García-Pintos
Product formulas, also known as Trotter formulas, are among the most widely used and practical methods for simulating quantum systems on quantum computers. Here we introduce two ne…
Randomized Quantum Optimal Control
Leeseok Kim, Francisco Riberi, Kevin Baca +1
Quantum optimal control (QOC) aims to find control functions that optimally steer a quantum system toward a target operation. We introduce a \emph{randomized} QOC framework where o…
Robust high-order quantum simulation using finite-width pulses
Leeseok Kim, Milad Marvian
We present a general framework for promoting first-order pulse sequences in quantum simulation to higher-order sequences that maintain robustness in the presence of finite pulse-wi…
High-order dynamical decoupling in the weak-coupling regime
Leeseok Kim, Milad Marvian
We introduce a high-order dynamical decoupling (DD) scheme for arbitrary bounded system-bath interactions in the weak-coupling regime. Given any decoupling group that…