Nonadiabatic Quantum Computation by Dynamic Invariants
M. S. Sarandy, Eduardo I. Duzzioni, Roberto M. Serra · arXiv (Cornell University) · 2008
We introduce an approach for quantum computing based on the theory of dynamic invariants. This approach generalizes adiabatic quantum computation to a nonadiabatic regime, recovering it as a particular case. We show that the relaxation of adiabaticity 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.