103 citations · 229 across the 7 of their papers we have counts for
7 papers
Tight lower bounds on the time it takes to generate a geometric phase
Niklas Hörnedal, Ole Sönnerborn
Geometric phase is a concept of central importance in virtually every branch of physics. In this paper, we show that the evolution time of a cyclically evolving quantum system is r…
Closed systems refuting quantum-speed-limit hypotheses
Niklas Hörnedal, Ole Sönnerborn
Many quantum speed limits for isolated systems can be generalized to also apply to closed systems. This is, for example, the case with the well-known Mandelstam-Tamm quantum speed…
Margolus-Levitin quantum speed limit for an arbitrary fidelity
Niklas Hörnedal, Ole Sönnerborn
The Mandelstam-Tamm and Margolus-Levitin quantum speed limits are two well-known evolution time estimates for isolated quantum systems. These bounds are usually formulated for full…
Quantum speed limits on operator flows and correlation functions
Nicoletta Carabba, Niklas Hörnedal, Adolfo del Campo
Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an…
Ultimate Speed Limits to the Growth of Operator Complexity
Niklas Hörnedal, Nicoletta Carabba, Apollonas S. Matsoukas-Roubeas +1
In an isolated system, the time evolution of a given observable in the Heisenberg picture can be efficiently represented in Krylov space. In this representation, an initial operato…
Extensions of the Mandelstam-Tamm quantum speed limit to systems in mixed states
Niklas Hörnedal, Dan Allan, Ole Sönnerborn
The Mandelstam-Tamm quantum speed limit puts a bound on how fast a closed system in a pure state can evolve. In this paper, we derive several extensions of this quantum speed limit…
Time-optimal quantum transformations with bounded bandwidth
Dan Allan, Niklas Hörnedal, Ole Andersson
In this paper, we derive sharp lower bounds, also known as quantum speed limits, for the time it takes to transform a quantum system into a state such that an observable assumes it…