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arXiv 2302.07908quant-ph
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具有最优损耗容忍阈值的线性光学逻辑Bell态测量

Linear optical logical Bell state measurements with optimal loss-tolerance threshold

Paul Hilaire, Yaron Castor, Edwin Barnes, Sophia E. Economou, Frédéric Grosshans

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17pages, 14 figures
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AI总结：

本文通过对抗性框架推导了线性光学量子信息处理中损耗容忍阈值的紧致上限，证明线性光学逻辑Bell态测量能达到no-cloning定理的基本损耗阈值，并为非自适应测量给出了更严格的界限。

摘要：

量子阈值定理对处理量子信息的硬件能力施加了硬性限制。我们通过一个对抗性框架，推导了不同线性光学量子信息处理设置中损耗容忍阈值的紧致且基本的上限，并考虑了线性光学Bell测量本质上的概率特性。对于光子量子信息中无处不在的逻辑Bell态测量，我们解析地证明了线性光学能够实现no-cloning定理所施加的基本损耗阈值，尽管根据Lee等人（Phys. Rev. A 100, 052303 (2019)）的工作，该约束被广泛认为更为严格。我们重点指出了后者的假设，并发现其界限适用于由自适应物理线性光学Bell测量构建的逻辑Bell测量。我们还为非自适应Bell测量给出了一个明确的更严格界限。

英文摘要：

Quantum threshold theorems impose hard limits on the hardware capabilities to process quantum information. We derive tight and fundamental upper bounds to loss-tolerance thresholds in different linear-optical quantum information processing settings through an adversarial framework, taking into account the intrinsically probabilistic nature of linear optical Bell measurements. For logical Bell state measurements - ubiquitous operations in photonic quantum information - we demonstrate analytically that linear optics can achieve the fundamental loss threshold imposed by the no-cloning theorem even though, following the work of Lee et al., (Phys. Rev. A 100, 052303 (2019)), the constraint was widely assumed to be stricter. We spotlight the assumptions of the latter publication and find their bound holds for a logical Bell measurement built from adaptive physical linear-optical Bell measurements. We also give an explicit even stricter bound for non-adaptive Bell measurements.

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