265 citations · 3.6k across the 120 of their papers we have counts for
6 papers · 1 filter
Error bounds for Lie Group representations in quantum mechanics
Lauritz van Luijk, Niklas Galke, Alexander Hahn +1
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a stat…
A Multi-Qubit Quantum Gate Using the Zeno Effect
Philippe Lewalle, Leigh S. Martin, Emmanuel Flurin +5
The Zeno effect, in which repeated observation freezes the dynamics of a quantum system, stands as an iconic oddity of quantum mechanics. When a measurement is unable to distinguis…
Selection and improvement of product formulae for best performance of quantum simulation
Mauro E. S. Morales, Pedro C. S. Costa, Giacomo Pantaleoni +3
Quantum algorithms for simulation of Hamiltonian evolution are often based on product formulae. The fractal methods give a systematic way to find arbitrarily high-order product for…
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…
Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
Omar Raii, Florian Mintert, Daniel Burgarth
The Kitaev honeycomb model is a system allowing for experimentally realisable quantum computation with topological protection of quantum information. Practical implementation of qu…
Stability and convergence of dynamical decoupling with finite amplitude control
Daniel Burgarth, Paolo Facchi, Robin Hillier
Dynamical decoupling is a key method to mitigate errors in a quantum mechanical system, and we studied it in a series of papers dealing in particular with the problems arising from…