Nonadiabatic quantum computation by dynamic invariants
October 24, 2015
We have introduced an approach for quantum computing based on the theory of dynamic invariants.
Such an approach is a shortcut to adiabatic quantum computation, recovering the last as a particular case. We show that the relaxation of adiabaticity in a continuous evolution setting can be achieved by processing information in the eigenlevels of a time dependent observable, namely, the dynamic invariant operator. Moreover, we derive the conditions for which the computation can be implemented by time independent as well as by adiabatically varying Hamiltonians. We illustrate our results by providing the implementation of both Deutsch-Jozsa and Grover algorithms via dynamic invariants.