论文标题
用于量子状态转移和最佳空间搜索的离子陷阱远程XY模型
Ion Trap Long-Range XY Model for Quantum State Transfer and Optimal Spatial Search
论文作者
论文摘要
线性离子陷阱链是量子计算和仿真的有前途的平台。具有远距离相互作用的XY模型可以通过单个侧面莫尔默 - 索伦森方案实现，从而使相互作用衰减为$ 1/r^α$，其中$α$参数为相互作用范围。较低的$α$导致较长的范围相互作用，从而使量子计算更快的远程门操作。但是，减少$α$会导致相干声子的产生增加，并且似乎可以消除有效的XY相互作用模型。我们表征并展示了如何完全纠正此效果，从而可以连贯实施较低的$α$交互。因此，对于$ n $ ions，离子陷阱链被证明是最佳$ o（\ sqrt {n}）$时间的空间量子搜索的可行平台。最后，我们引入了$ o（\ sqrt {n}）$量子状态传输协议，并具有维持高保真度的量子编码。
Linear ion trap chains are a promising platform for quantum computation and simulation. The XY model with long-range interactions can be implemented with a single side-band Molmer-Sorensen scheme, giving interactions that decay as $1/r^α$, where $α$ parameterises the interaction range. Lower $α$ leads to longer range interactions, allowing faster long-range gate operations for quantum computing. However, decreasing $α$ causes an increased generation of coherent phonons and appears to dephase the effective XY interaction model. We characterise and show how to correct for this effect completely, allowing lower $α$ interactions to be coherently implemented. Ion trap chains are thus shown to be a viable platform for spatial quantum search in optimal $O(\sqrt{N})$ time, for $N$ ions. Finally, we introduce a $O(\sqrt{N})$ quantum state transfer protocol, with a qubit encoding that maintains a high fidelity.
