Realizations of standard quantum computational circuits by adiabatic evolution.

Zobov, V.; Ermilov, A.

We study the adiabatic equivalent of the standard quantum circuit of elementary logic operators. We propose a scheme for constructing time variations of the Hamiltonian. This scheme can be implemented sufficiently simply, for example, on nuclear spins controlled by radio-frequency pulses. As an illustration, we numerically simulate an adiabatic quantum algorithm for finding the permutation order for a system of five spins (qubits).

RADIO frequency; FREQUENCIES of oscillating systems; NUCLEAR magnetic resonance; PERMUTATIONS; ALGORITHMS

Theoretical & Mathematical Physics, 2007, Vol 150, Issue 3, p393

0040-5779

Academic Journal

10.1007/s11232-007-0029-9