Equivalence of quantum heat machines, and quantum-thermodynamic signatures
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 …
quantum object. In the extreme case, the working medium can be a single particle or a few …
Single-ancilla ground state preparation via Lindbladians
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 …
regime. As a Monte Carlo style quantum algorithm, our method features a Lindbladian …
Simulating open quantum systems using hamiltonian simulations
We present a novel method to simulate the Lindblad equation, drawing on the relationship
between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations …
between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations …
[图书][B] A concise introduction to geometric numerical integration
Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …
Splitting methods for differential equations
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 …
differential equations that can be subdivided into different problems easier to solve than the …
Deep learning as optimal control problems: Models and numerical methods
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 …
learning neural networks have been interpreted as discretisations of an optimal control …
Splitting and composition methods in the numerical integration of differential equations
We provide a comprehensive survey of splitting and composition methods for the numerical
integration of ordinary differential equations (ODEs). Splitting methods constitute an …
integration of ordinary differential equations (ODEs). Splitting methods constitute an …
[图书][B] Additive operator-difference schemes: Splitting schemes
PN Vabishchevich - 2013 - books.google.com
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 …
schemes are attributed to the transition from a complex problem to a chain of simpler …
Solving the Schrödinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients
The Schrödinger eigenvalue problem is solved with the imaginary time propagation
technique. The separability of the Hamiltonian makes the problem suitable for the …
technique. The separability of the Hamiltonian makes the problem suitable for the …
[HTML][HTML] Quantum heat machines equivalence, work extraction beyond markovianity, and strong coupling via heat exchangers
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 …
“engine action”. Our previous derivation of the equivalence is restricted to Markovian heat …