Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States.
Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States.
复制标题
多模非高斯态的纠缠和维格纳函数负性。
DOI：
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发表时间：
2017
影响因子：
8.6
通讯作者：
N. Treps
中科院分区：
文献类型：
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作者：
M. Walschaers;C. Fabre;V. Parigi;N. Treps
非高斯运算对于利用光学连续可变量子信息协议中的量子优势至关重要。我们专注于模式选择性光子相加和相减作为实验上有前途的过程来创建多模非高斯态。我们的方法基于相关函数，这在量子统计力学和凝聚态物理中很常见，并与量子光学工具相结合。对于任意多个模式，我们在减去或添加单个光子后制定了维格纳函数的解析表达式。它用于证明非高斯态特有的纠缠性质，并且还为维格纳函数负性提供了实用而优雅的条件。最后，我们分析了实验生成的多模高斯态的光子相加和相减的潜力。
Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create multimode non-Gaussian states. Our approach is based on correlation functions, as is common in quantum statistical mechanics and condensed matter physics, mixed with quantum optics tools. We formulate an analytical expression of the Wigner function after the subtraction or addition of a single photon, for arbitrarily many modes. It is used to demonstrate entanglement properties specific to non-Gaussian states and also leads to a practical and elegant condition for Wigner function negativity. Finally, we analyze the potential of photon addition and subtraction for an experimentally generated multimode Gaussian state.