Theoretical and experimental quantum error correction

信息处理永远改变了我们从事科学的方式，改变了我们娱乐自己的方式，改变了经济结构，并最终改变了我们是谁。信息革命是我们处理越来越多的信息的能力的结果。我们通过不断缩小晶体管的尺寸实现了这一点，这意味着每个微芯片上都可以安装更多的晶体管。随着这种不断缩小的技术进入纳米级，我们被要求超越经典物理定律，进入量子力学领域。目前，量子力学对经典计算提出了许多挑战，但也开启了令人难以置信的新可能性。在过去的20年里，物理学家和计算机科学家已经找到了利用量子力学进行计算的方法。我的工作目标是通过将量子力学效应用于信息处理来利用它们。我们知道量子设备将比它们的经典设备强大得多，我们的目标是使这些技术成为现实。量子信息处理面临着许多挑战，因为这样的小设备容易受到“噪声”的影响，而“噪声”会干扰信息，使量子优势化为乌有。因此，创造强大的量子处理器对这项技术的未来至关重要。我的研究将集中在寻找和开发新的方法，以控制和操纵量子信息的方式，对这种干扰和缺陷是健壮的。这将通过不断发展和完善量子纠错来实现。特别是，该提案将研究增加量子控制的方法，表征量子处理器的噪声，以及由于与噪声的相互作用而在量子比特中提取熵的实现方法，所有这些都将结合实现量子纠错来进行。这项工作将包括相辅相成的理论和实验方法。实验部分将包括使用液晶核磁共振(核磁共振)、固态核磁共振和电子自旋共振(ESR)的研究，目标是实现几轮量子误差修正。

Information processing has forever changed the ways we do science, the ways we entertain ourselves, the structure of the economy, and ultimately who we are. The information revolution is the result of our ability to process increasingly larger amounts of information. We have achieved this by continually shrinking the size of transistors, which means more of them can be fit on every microchip. As this shrinking technology moves into to the nano-scale, we are required to look beyond the laws of classical physics and into the realm of quantum mechanics. At present, quantum mechanics poses many challenges to classical computing, but also opens incredible new possibilities. In the past 20 years, physicists and computer scientists have found ways to harness and capitalize on quantum mechanics for computing. The goal of my work is to take advantage of quantum mechanical effects by using them for information processing. We know that quantum devices would be much more powerful than their classical counterparts, and our goal is to make these technologies a reality. There are many challenges to quantum information processing, since such small devices are susceptible to "noise," which disturbs the information and nullifies the quantum advantage. It is therefore critical to the future of this technology to create robust quantum processors. My research will be focused on finding and developing new methods to control and manipulate quantum information in ways that are robust to such disturbance and imperfection. This will be accomplished through the continued development and refinement of quantum error correction. In particular, this proposal will investigate methods of increasing quantum control, characterizing noise of quantum processors, and implementing ways of extracting entropy in qubits due to interaction with noise all in light of implementing quantum error correction. The work will encompass both theoretical and experimental approaches complementing one another. The experimental pieces will include investigations using liquid crystal nuclear magnetic resonance (NMR), solid-state NMR, and electron spin resonance (ESR) with goal to implement rounds of quantum error correction.