逾渗、重整化和具有非确定性门的量子计算
Percolation, renormalization, and quantum computing with non-deterministic gates
摘要:
我们应用静态重整化的概念来制备量子计算的纠缠态,利用渗流理论的思想。这种策略为处理非确定性量子门的随机性提供了一种新的方法。这是最相关的光学架构,其中概率门是常见的,和冷原子的光晶格,其中空穴缺陷的发生。我们演示了如何有效地构建集群状态,而不需要重新路由,从而避免了大量的条件动力学;我们还表明,除了在准备过程中的一个单层门,所有后续操作可以转移到最终适应的单量子位测量。值得注意的是,集群状态准备是通过使用基本上相同的资源扩展来实现的,就好像确定性门是可用的一样。
英文摘要:
We apply a notion of static renormalization to the preparation of entangled states for quantum computing, exploiting ideas from percolation theory. Such a strategy yields a novel way to cope with the randomness of non-deterministic quantum gates. This is most relevant in the context of optical architectures, where probabilistic gates are common, and cold atoms in optical lattices, where hole defects occur. We demonstrate how to efficiently construct cluster states without the need for rerouting, thereby avoiding a massive amount of conditional dynamics; we furthermore show that except for a single layer of gates during the preparation, all subsequent operations can be shifted to the final adapted single qubit measurements. Remarkably, cluster state preparation is achieved using essentially the same scaling in resources as if deterministic gates were available.
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