Full quantum state tomography of high-dimensional on-chip biphoton frequency combs with randomized measurements
Full quantum state tomography of high-dimensional on-chip biphoton frequency combs with randomized measurements
复制标题
具有随机测量的高维片上双光子频率梳的全量子态断层扫描
DOI：
10.21203/rs.3.rs-799129/v1
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
J. Lukens
中科院分区：
文献类型：
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作者：
Hsuan;K. Myilswamy;R. Bennink;Suparna Seshadri;Mohammed S. Alshaykh;Junqiu Liu;T. Kippenberg;D. Leaird;A. Weiner;J. Lukens
近年来，由于集成双光子频率梳（BFC）的出现，频率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）需要复杂和精确的主动混频操作工程，这是难以缩放。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。采用最新的贝叶斯统计方法，在8×8维二维Hilbert空间中成功地验证了片上Si3N4微谐振器（MRR）产生的BFC的纠缠度，并重建了全密度矩阵。总的来说，我们的方法验证了一个实验强大的方法，易于实施的操作频率箱层析成像。
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. Incorporating state-of-the-art Bayesian statistical method, we successfully verify the entanglement and reconstruct the full density matrix of BFCs generated from an on-chip Si3N4 microring resonator (MRR) in up to an 8×8-dimensional two-qudit Hilbert space, the highest dimension to date for frequency bins. Overall, our method furnishes an experimentally powerful approach for frequency-bin tomography with readily implementable operations.