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The two-qubit interaction Hamiltonian of a given physical implementationdetermines whether or not a two-qubit gate such as the CNOT gate can berealized easily. It can be shown that, e.g., with the XY interaction more thanone two-qubit operation is required in order to realize CNOT. Here we propose atwo-qubit gate for the XY interaction which combines CNOT with the SWAPoperation. By using this gate quantum circuits can be implemented efficiently,even if only nearest-neighbor coupling between the qubits is available.Comment: 8 pages, REVTeX4; published version (minor changes, Appendix B added

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Natural two-qubit gate for quantum computation using the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>interaction

Natural two-qubit gate for quantum computation using theXYinteraction