Quantum search by parallel eigenvalue adiabatic passage

Daems, D.; Guérin, S.; Cerf, N. J.

Quantum search by parallel eigenvalue adiabatic passage

Authors

Daems, D.

Guérin, S.

Cerf, N. J.

Description

We propose a strategy to achieve the Grover search algorithm by adiabatic passage in a very efficient way. An adiabatic process can be characterized by the instantaneous eigenvalues of the pertaining Hamiltonian, some of which form a gap. The key to the efficiency is based on the use of parallel eigenvalues. This allows us to obtain non-adiabatic losses which are exponentially small, independently of the number of items in the database in which the search is performed.
7 pages, 4 figures