Document Europhys. Lett., 76 (3), pp. 533-539 (2006)
DOI: 10.1209/epl/i2006-10291-5
Measurement of the ground-state flux diagram of three coupled qubits as a first step towards the demonstration of adiabatic quantum computation
A. Izmalkov1, M. Grajcar2, S. H. W. van der Ploeg1, U. Hübner1, E. Il'ichev1, H.-G. Meyer1 and A. M. Zagoskin3, 41 Institute for Physical High Technology - P.O. Box 100239, D-07702 Jena, Germany
2 Department of Solid State Physics, Comenius University SK-84248 Bratislava, Slovakia
3 Physics and Astronomy Department, The University of British Columbia 6224 Agricultural Rd., Vancouver, B.C., V6T 1Z1 Canada
4 Frontier Research System, RIKEN - Wako-Shi, Saitama, 351-0198, Japan
andrei.izmalkov@ipht-jena.de
ilichev@ipht-jena.de
received 2 May 2006; accepted in final form 13 September 2006
published online 7 October 2006
Abstract
The ground-state susceptibility of a system consisting of three
flux-qubits was measured in the complete three-dimensional flux
space around the common degeneracy point of the qubits. The
system's Hamiltonian could be completely reconstructed from
measurements made far away from the common degeneracy point. The
subsequent measurements made around this point show complete
agreement with the theoretical predictions which follow from this
Hamiltonian. The ground-state anti-crossings of the system could
be read out directly from these measurements. This allows one to
determine the ground-state flux diagram, which provides the
solution for the non-polynomial optimization problem MAXCUT
encoded in the Hamiltonian of the three-flux-qubit system. Our
results show that adiabatic quantum computation can be
demonstrated with this system provided that the minimal energy gap
and/or the speed of the read-out is increased.
85.25.Cp - Josephson devices.
85.25.Dq - Superconducting quantum interference devices (SQUIDs).
03.67.Lx - Quantum computation.
© EDP Sciences 2006