4 citations · 10 across the 12 of their papers we have counts for
31 papers · 1 filter
Wandering range of robust quantum symmetries
Daniel Burgarth, Paolo Facchi, Marilena Ligabò +2
This paper introduces the concept of the wandering range of a robust symmetry of a Hamiltonian . This quantity measures how the perturbed time evolution $\mathrm{e}^{\mathrm…
Rotating-Wave and Secular Approximations for Open Quantum Systems
Daniel Burgarth, Paolo Facchi, Giovanni Gramegna +1
We derive a nonperturbative bound on the distance between evolutions of open quantum systems described by time-dependent generators. We show how this result can be employed to prov…
The quantum harmonic oscillator on a circle -- fragmentation of the algebraic method
Daniel Burgarth, Paolo Facchi
A quantum particle on a circle in a quadratic potential exhibits a spectrum that is not harmonic, despite having all algebraic properties of the quantum harmonic oscillator. This r…
Quantum particle in the wrong box (or: the perils of finite-dimensional approximations)
Felix Fischer, Daniel Burgarth, Davide Lonigro
When numerically simulating the unitary time evolution of an infinite-dimensional quantum system, one is usually led to treat the Hamiltonian as an "infinite-dimensional matrix…
Finite-dimensional approximations of generalized squeezing
Sahel Ashhab, Felix Fischer, Davide Lonigro +2
We show unexpected behaviour in simulations of generalized squeezing performed with finite-dimensional truncations of the Fock space: even for extremely large dimension of the stat…
Characterizing Fisher information of quantum measurement
Rakesh Saini, Jukka Kiukas, Daniel Burgarth +1
Informationally complete measurements form the foundation of universal quantum state reconstruction, while quantum parameter estimation is based on the local structure of the manif…