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7 papers · 1 filter
Isoholonomic inequality and tight implementations of holonomic quantum gates
Ole Sönnerborn
In holonomic quantum computation, quantum logic gates are realized by cyclic parallel transport of the computational space. The resulting quantum gate corresponds to the holonomy a…
Parallel transport in rotating frames and projective holonomic quantum computation
Ole Sönnerborn
Nonadiabatic holonomic quantum computation is a promising approach for implementing quantum gates that offers both efficiency and robustness against certain types of errors. A key…
Estimate of the time required to perform a nonadiabatic holonomic quantum computation
Ole Sönnerborn
Nonadiabatic holonomic quantum computation has been proposed as a method to implement quantum logic gates with robustness comparable to that of adiabatic holonomic gates but with s…
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…