We introduce deterministic state-transformation protocols between many-body quantum states that can be implemented by low-depth quantum circuits followed by local operations and classical communication. We show that this gives rise to a classification of phases in which topologically ordered states or other paradigmatic entangled states become trivial. We also investigate how the set of unitary operations is enhanced by local operations and classical communication in this scenario, allowing one to perform certain large-depth quantum circuits in terms of low-depth ones.

中文翻译：

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局部运算和经典通信辅助的量子电路：物质的转换和相态

我们在多体量子态之间引入了确定性状态转换协议，这些协议可以通过低深度量子电路实现，然后是局部操作和经典通信。我们表明，这产生了一种阶段分类，其中拓扑有序状态或其他范式纠缠状态变得微不足道。我们还研究了在这种情况下局部操作和经典通信如何增强单一操作集，允许人们根据低深度电路执行某些大深度量子电路。