5 papers
Typical entanglement in anyon chains: Page curves beyond Lie group symmetries
Yale Yauk, Lucas Hackl, Alexander Hahn
We study bipartite entanglement statistics in one-dimensional anyon chains, whose Hilbert spaces are constrained by fusion rules of unitary pre-modular categories. Our setup genera…
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…
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…
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…
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…