Measurement-based quantum computation using two-component BECs

Abstract

In this paper, we propose measurement-based quantum computation (MBQC) using two-component Bose-Einstein condensates (BECs). Graph states are naturally introduced by analogy with the qubit case. An arbitrary state of one logical qubit can be obtained through a three-body measurement. Furthermore, we propose methods for implementing CZ gates on the components of coherent states of BECs in a graph state, as well as CZ gates on logical qubits. A distinctive feature of our approach is that the post-measurement state is shown to depend on the particle number. These results suggest a novel quantum computing process based on particle control.