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 $70.76\pm 0.35\%$ to $84.60\pm 0.11\%$, well beyond the classical bound in either case.

中文翻译：

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模拟Majorana零模式量子位的量子隐形传态

基于任意点的拓扑量子计算是一种实现容错量子计算的有前途的方法。Kitaev链中的Majorana零模式是非阿贝尔正午的一个例子，其中编织操作可用于执行量子门。在这里，我们通过传送以基塔耶夫链的马约拉纳零模式编码的量子比特来执行拓扑量子计算的量子模拟。通过将Kitaev链映射到其等效自旋形式并在超导量子处理器中实现基态来执行量子仿真。隐形传态在两个Kitaev链之间传输在Majorana零模式状态的自旋映射版本中编码的量子状态。传送电路仅使用编织操作即可实现，尽管受限于Ising anyon的Clifford门，也可以实现。Majorana编码是一种用于相位翻转错误的量子错误检测代码，用于针对以下六个不同状态提高隐形传态的平均保真度$70.76\pm 0.35％$ 到 $84.60\pm 0.11％$，无论哪种情况，都远远超出了经典范围。