Abstract

We discuss the energetic cost of superadiabatic models of quantum computation. Specifically, we investigate the energy–time complementarity in general transitionless controlled evolutions and in shortcuts to the adiabatic quantum search over an unstructured list. We show that the additional energy resources required by superadiabaticity for arbitrary controlled evolutions can be minimized by using probabilistic dynamics, so that the optimal success probability is fixed by the choice of the evolution time. In the case of analog quantum search, we show that the superadiabatic approach induces a non-oracular counter-diabatic Hamiltonian, with the same energy–time complexity as equivalent adiabatic implementations.

Date

September 15, 2016

Authors

Ivan B Coulamy, Alan C Santos, Itay Hen, Marcelo S Sarandy

Journal

Frontiers in ICT

Volume

3

Pages

19

Publisher

Frontiers Media SA