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.

6 pages, 6 figures. We modified the measurement protocol to use a more realistic measurement basis

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Cited by in corpus (2)

• Driven-Dissipative Dynamics of Ultracold Atoms Trapped in an Array of Harmonic Potentials
• Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables