Quantum heat engines (QHE) are thermal machines where the working substance is a
quantum object. In the extreme case, the working medium can be a single particle or a few …

We design a quantum algorithm for ground state preparation in the early fault tolerant
regime. As a Monte Carlo style quantum algorithm, our method features a Lindbladian …

We present a novel method to simulate the Lindblad equation, drawing on the relationship
between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations …

Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …

This overview is devoted to splitting methods, a class of numerical integrators intended for
differential equations that can be subdivided into different problems easier to solve than the …

We consider recent work of Haber and Ruthotto 2017 and Chang et al. 2018, where deep
learning neural networks have been interpreted as discretisations of an optimal control …

We provide a comprehensive survey of splitting and composition methods for the numerical
integration of ordinary differential equations (ODEs). Splitting methods constitute an …

Applied mathematical modeling is concerned with solving unsteady problems. Splitting
schemes are attributed to the transition from a complex problem to a chain of simpler …

The Schrödinger eigenvalue problem is solved with the imaginary time propagation
technique. The separability of the Hamiltonian makes the problem suitable for the …

Various engine types are thermodynamically equivalent in the quantum limit of small
“engine action”. Our previous derivation of the equivalence is restricted to Markovian heat …