Efficient construction of two-dimensional cluster states with probabilistic quantum gates

Qing Chen, Jianhua Cheng, Ke-Lin Wang, Jiangfeng Du · Physical Review A · 2006

We propose an efficient scheme for constructing arbitrary two-dimensional (2D) cluster states using probabilistic entangling quantum gates. In our scheme, the 2D cluster state is constructed with starlike basic units generated from 1D cluster chains. By applying parallel operations, the process of generating 2D (or higher-dimensional) cluster states is significantly accelerated, which provides an efficient way to implement realistic one-way quantum computers.

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