连续变量量子压缩传感
Continuous-variable quantum compressed sensing
摘要：
我们显着扩展最近开发的方法，忠实地重建未知的量子态，近似低秩，只使用几个测量设置。我们的新方法是一般的，足以让测量从一个连续的家庭，也适用于连续变量状态。作为一个技术成果，这项工作将量子压缩传感推广到测量的可观测量取自所谓的紧框架（而不是正交基）的情况--因此覆盖了最现实的测量场景。作为应用，我们讨论了零差检测和其他类型的测量光的量子态的重建，我们提出了模拟，显示所提出的压缩传感技术的优势，目前的方法。最后，我们介绍了一种方法来构建一个证书，保证重建的成功，没有假设的状态，我们展示了如何稍微更多的测量引起的“普遍”的状态重建，是非常强大的噪声。
英文摘要：
We significantly extend recently developed methods to faithfully reconstruct unknown quantum states that are approximately low-rank, using only a few measurement settings. Our new method is general enough to allow for measurements from a continuous family, and is also applicable to continuous-variable states. As a technical result, this work generalizes quantum compressed sensing to the situation where the measured observables are taken from a so-called tight frame (rather than an orthonormal basis) --- hence covering most realistic measurement scenarios. As an application, we discuss the reconstruction of quantum states of light from homodyne detection and other types of measurements, and we present simulations that show the advantage of the proposed compressed sensing technique over present methods. Finally, we introduce a method to construct a certificate which guarantees the success of the reconstruction with no assumption on the state, and we show how slightly more measurements give rise to "universal" state reconstruction that is highly robust to noise.
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。
