Key Laboratory of Quantum Information, Department of Optics and Optical Engineering, University of Science and Technology of China, CAS, JinZhai Road 96, Hefei 230026, China.
Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
Nat Commun. 2016 Oct 25;7:13194. doi: 10.1038/ncomms13194.
The realization of Majorana zero modes is in the centre of intense theoretical and experimental investigations. Unfortunately, their exchange that can reveal their exotic statistics needs manipulations that are still beyond our experimental capabilities. Here we take an alternative approach. Through the Jordan-Wigner transformation, the Kitaev's chain supporting two Majorana zero modes is mapped to the spin-1/2 chain. We experimentally simulated the spin system and its evolution with a photonic quantum simulator. This allows us to probe the geometric phase, which corresponds to the exchange of two Majorana zero modes positioned at the ends of a three-site chain. Finally, we demonstrate the immunity of quantum information encoded in the Majorana zero modes against local errors through the simulator. Our photonic simulator opens the way for the efficient realization and manipulation of Majorana zero modes in complex architectures.
马约拉纳零模的实现是理论和实验研究的焦点。不幸的是，揭示其奇特统计特性的马约拉纳零模的交换需要我们仍无法实现的操作。在这里，我们采取了一种替代方法。通过 Jordan-Wigner 变换，支持两个马约拉纳零模的 Kitaev 链被映射到自旋 1/2 链上。我们使用光子量子模拟器对自旋系统及其演化进行了实验模拟。这使我们能够探测到对应于两个位于三节点链两端的马约拉纳零模交换的几何相位。最后，我们通过模拟器证明了编码在马约拉纳零模中的量子信息对局部误差的免疫性。我们的光子模拟器为在复杂结构中高效实现和操纵马约拉纳零模开辟了道路。
