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arXiv 2103.13367quant-phcond-mat.stat-mechcond-mat.str-el
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LOCC辅助的量子线路:物质的变换和相位

Quantum Circuits assisted by LOCC: Transformations and Phases of Matter

Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac

摘要:

我们介绍了多体量子态之间的确定性状态转换协议,该协议可以通过低深度量子线路(QC)以及本地操作和经典通信(LOCC)来实现。我们表明,这引起了一个分类的阶段,其中拓扑有序的状态或其他范式纠缠态变得微不足道。我们还研究了在这种情况下,如何通过LOCC增强酉操作的集合,允许在低深度的情况下执行某些大深度的QC。

英文摘要:

We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations and Classical Communication (LOCC). 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 LOCC in this scenario, allowing one to perform certain large-depth QC in terms of low-depth ones.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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