Huang He-Liang, Narożniak Marek, Liang Futian, Zhao Youwei, Castellano Anthony D, Gong Ming, Wu Yulin, Wang Shiyu, Lin Jin, Xu Yu, Deng Hui, Rong Hao, Dowling Jonathan P, Peng Cheng-Zhi, Byrnes Tim, Zhu Xiaobo, Pan Jian-Wei
Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China.
Shanghai Branch, CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China.
Phys Rev Lett. 2021 Mar 5;126(9):090502. doi: 10.1103/PhysRevLett.126.090502.
Topological quantum computation based on anyons is a promising approach to achieve fault-tolerant quantum computing. The Majorana zero modes in the Kitaev chain are an example of non-Abelian anyons where braiding operations can be used to perform quantum gates. Here we perform a quantum simulation of topological quantum computing, by teleporting a qubit encoded in the Majorana zero modes of a Kitaev chain. The quantum simulation is performed by mapping the Kitaev chain to its equivalent spin version and realizing the ground states in a superconducting quantum processor. The teleportation transfers the quantum state encoded in the spin-mapped version of the Majorana zero mode states between two Kitaev chains. The teleportation circuit is realized using only braiding operations and can be achieved despite being restricted to Clifford gates for the Ising anyons. The Majorana encoding is a quantum error detecting code for phase-flip errors, which is used to improve the average fidelity of the teleportation for six distinct states from 70.76±0.35% to 84.60±0.11%, well beyond the classical bound in either case.
基于任意子的拓扑量子计算是实现容错量子计算的一种很有前景的方法。基塔耶夫链中的马约拉纳零模是非阿贝尔任意子的一个例子，其中编织操作可用于执行量子门。在这里，我们通过传送编码在基塔耶夫链马约拉纳零模中的一个量子比特，来进行拓扑量子计算的量子模拟。该量子模拟是通过将基塔耶夫链映射到其等效的自旋版本，并在超导量子处理器中实现基态来完成的。量子隐形传态在两个基塔耶夫链之间转移编码在马约拉纳零模态的自旋映射版本中的量子态。该量子隐形传态电路仅使用编织操作来实现，并且尽管对于伊辛任意子仅限于克利福德门，仍可实现。马约拉纳编码是一种用于相位翻转错误的量子错误检测码，它被用于将六个不同态的量子隐形传态的平均保真度从70.76±0.35%提高到84.60±0.11%，在这两种情况下都远超过经典界限。
