Simulation of general three-body interactions in a nuclear magnetic resonance ensemble quantum computer

Three-body interaction plays an important role in many-body physics, and quantum computer is efficient in simulating many-body interactions. We have experimentally demonstrated the general three-body interactions in a three-qubit nuclear magnetic resonance ensemble quantum computer. Using a nuclear magnetic resonance computer we implemented general forms of three-body interactions including σ x 1 σ z 2 σ x 3 and σ x 1 σ z 2 σ y 3 The results show good agreement between theory and experiment. We have also given a concise and practical formula for a general n -body interaction in terms of one-and two-body interactions.