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arXiv 2108.04124quant-phphysics.optics
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随机测量的高维片上双光子频率梳的贝叶斯层析成像

Bayesian tomography of high-dimensional on-chip biphoton frequency combs with randomized measurements

Hsuan-Hao Lu, Karthik V. Myilswamy, Ryan S. Bennink, Suparna Seshadri, Mohammed S. Alshaykh, Junqiu Liu, Tobias J. Kippenberg, Daniel E. Leaird, Andrew M. Weiner, Joseph M. Lukens

发表信息：
Nat Commun 13, 4338 (2022)
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摘要：

由于集成双光子频率梳（BFC）的出现，频域量子信息处理因其固有的高维性和与光纤网络兼容的纠缠特性而受到越来越多的关注。然而，这种状态的量子态层析成像（QST）需要复杂且精确的有源混频操作工程，这是难以缩放的。为了解决这些限制，我们提出了一种新的解决方案，采用脉冲整形器和电光相位调制器（EOM）来执行随机操作，而不是以规定的方式混合。我们成功地验证了纠缠和重建全密度矩阵的BFC产生的片上Si $_{3}$ N $_{4}$微谐振器（MRR）在高达一个$8\times8$维二维量子希尔伯特空间，最高的维度频率箱。更一般地说，我们所采用的贝叶斯统计模型可以针对具有有限测量能力的各种量子系统进行定制，从而形成以最佳方式利用所有可用数据的机会断层扫描框架。

英文摘要：

Owing in large part to the advent of integrated biphoton frequency combs (BFCs), recent years have witnessed increased attention to quantum information processing in the frequency domain for its inherent high dimensionality and entanglement compatible with fiber-optic networks. Quantum state tomography (QST) of such states, however, has required complex and precise engineering of active frequency mixing operations, which are difficult to scale. To address these limitations, we propose a novel solution that employs a pulse shaper and electro-optic phase modulator (EOM) to perform random operations instead of mixing in a prescribed manner. We successfully verify the entanglement and reconstruct the full density matrix of BFCs generated from an on-chip Si$_{3}$N$_{4}$ microring resonator(MRR) in up to an $8\times8$-dimensional two-qudit Hilbert space, the highest dimension to date for frequency bins. More generally, our employed Bayesian statistical model can be tailored to a variety of quantum systems with restricted measurement capabilities, forming an opportunistic tomographic framework that utilizes all available data in an optimal way.

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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