24 citations · 57 across the 9 of their papers we have counts for
9 papers
Introducing SAGUARO -- Simulating IGM Evolution and Environments At High Resolution: Setup and First Results
Christopher Cain, Aloha Das, Anson D'Aloisio +7
Small-scale physics in the intergalactic medium (IGM) plays a crucial role in shaping the progress of cosmic reionization and several high-redshift observables that probe this peri…
Lower Bounds for the Trotter Error
Alexander Hahn, Paul Hartung, Daniel Burgarth +2
In analog and digital simulations of practically relevant quantum systems, the target dynamics can only be implemented approximately. The Trotter product formula is the most common…
Bath Dynamical Decoupling with a Quantum Channel
Alexander Hahn, Kazuya Yuasa, Daniel Burgarth
Bang-bang dynamical decoupling protects an open quantum system from decoherence due to its interaction with the surrounding bath/environment. In its standard form, this is achieved…
Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
Alexander Hahn, Daniel Burgarth, Davide Lonigro
Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. I…
The anisotropic square lattice Ising model with quenched surface disorder
Luca Cervellera, Oliver Oing, Jan Büddefeld +2
Using exact enumeration, the surface free energy as well as the critical Casimir amplitude and Casimir force are calculated for the square lattice Ising model with anisotropic coup…
On the Liouville-von Neumann equation for unbounded Hamiltonians
Davide Lonigro, Alexander Hahn, Daniel Burgarth
The evolution of mixed states of a closed quantum system is described by a group of evolution superoperators whose infinitesimal generator (the quantum Liouville superoperator, or…
Categorical Quantum Volume Operator
Alexander Hahn, Sebastian Murk, Sukhbinder Singh +1
We present a generalization of the quantum volume operator quantifying the volume in curved three-dimensional discrete geometries. In its standard form, the quantum volume operator…
Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry
Daniel Burgarth, Paolo Facchi, Alexander Hahn +2
Efficient error estimates for the Trotter product formula are central in quantum computing, mathematical physics, and numerical simulations. However, the Trotter error's dependency…
State-dependent Trotter Limits and their approximations
Daniel Burgarth, Niklas Galke, Alexander Hahn +1
The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position…