论文标题
横向注入:一种使用稳定器代码直接编码非克利福德门的方法的方法
Transversal Injection: A method for direct encoding of ancilla states for non-Clifford gates using stabiliser codes
论文作者
论文摘要
容忍错误,错误校正的量子计算通常被认为对于实现大规模量子算法至关重要,这可能会导致极其影响的科学或商业结果。在容忍错误校正的框架中实现一组通用的量子门操作,遭受了“不愉快的保护”。通常,无论采用哪种错误校正技术,总有一个通用门集的一个元素,它将带有重要的资源开销 - 物理Qubits,计算时间或两者兼而有之。具体而言,这是由于应用非克利福德门的应用。实现稳定器代码(例如表面代码)的这些门的一种常见方法是三个方案的组合:状态注入,蒸馏和门传送。与逻辑操作(例如CNOT门)相比,这些协议有助于资源开销,并为任何错误校正的量子算法有助于量子资源。在本文中,我们介绍了一个非常简单的协议,可以潜在地减少非克利福德大门的开销:横向注入。横向注入在标准编码之前修改了稳定器代码中所有数据量子的初始物理状态,并导致直接准备大量的单量子态状态,包括非克利福德逻辑门的资源状态。初步结果暗示,高质量的忠诚度更大,并激发了对这项技术的进一步研究。
Fault-tolerant, error-corrected quantum computation is commonly acknowledged to be crucial to the realisation of large-scale quantum algorithms that could lead to extremely impactful scientific or commercial results. Achieving a universal set of quantum gate operations in a fault-tolerant error-corrected framework suffers from a `conservation of unpleasantness'. In general, no matter what error correction technique is employed, there is always one element of a universal gate set that carries a significant resource overhead - either in physical qubits, computational time, or both. Specifically, this is due to the application of non-Clifford gates. A common method for realising these gates for stabiliser codes such as the surface code is a combination of three protocols: state injection, distillation and gate teleportation. These protocols contribute to the resource overhead compared to logical operations such as a CNOT gate and contributes to the qubit resources for any error-corrected quantum algorithm. In this paper, we introduce a very simple protocol to potentially reduce this overhead for non-Clifford gates: Transversal Injection. Transversal injection modifies the initial physical states of all data qubits in a stabiliser code before standard encoding and results in the direct preparation of a large class of single qubit states, including resource states for non-Clifford logic gates. Preliminary results hint at high quality fidelities at larger distances and motivate further research on this technique.