费米子高斯测试与卷积非高斯测量

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-12 DOI:arxiv-2409.08180

Nicholas Lyu, Kaifeng Bu

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引用次数: 0

摘要

我们探索了由费米高斯单元定义的费米卷积的性质。一个关键发现是纯高斯态在这种卷积下的纯度不变性。利用这一特性，我们提出了一种高效的协议，通过使用 3 个输入状态的副本来测试纯态的费米高斯性。此外，我们还引入了一个新的测量系列，称为 "非高斯熵"，旨在量化状态的费米非高斯性。

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Fermionic Gaussian Testing and Non-Gaussian Measures via Convolution

We explore the properties of fermionic convolution defined by fermionic Gaussian unitary. A key finding is the purity invariance of pure Gaussian states under this convolution. Leveraging this property, we propose an efficient protocol to test the fermionic Gaussianity of pure states by using 3 copies of the input states. Furthermore, we introduce a new family of measures called ``Non-Gaussian Entropy,'' designed to quantify the fermionic non-Gaussianity of states.

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arXiv - MATH - Mathematical Physics

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