24 citations · 57 across the 9 of their papers we have counts for
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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…
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…
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…