Near term quantum computers suffer from the presence of different noise sources. In order to mitigate for this effect and acquire results with significantly better accuracy, there is the urge of designing efficient error correction or error mitigation schemes. The cost of such techniques is usually high in terms of resource requirements, either in hardware or at the algorithmic level. In this work, we follow a pragmatic approach and we use repetition codes as scalable schemes with the potential to provide more accurate solutions to problems of interest in quantum chemistry and physics. We investigate different repetition code layouts and we propose a circular repetition scheme with connectivity requirements that are native on IBM Quantum hardware. We showcase our approach in multiple IBM Quantum devices and validate our results using a simplified theoretical noise model. We highlight the effect of using the proposed scheme in an electronic structure variational quantum eigensolver calculation and in the simulation of time evolution for a quantum Ising model.

近期量子计算机会受到不同噪声源的影响。为了减轻这种影响并以明显更好的精度获得结果，迫切需要设计有效的纠错或错误缓解方案。这种技术的成本在资源需求方面通常很高，无论是在硬件还是在算法层面。在这项工作中，我们遵循务实的方法，我们使用重复码作为可扩展的方案，有可能为量子化学和物理学中感兴趣的问题提供更准确的解决方案。我们研究了不同的重复代码布局，并提出了一种循环重复方案，该方案具有 IBM Quantum 硬件原生的连接要求。我们在多个 IBM Quantum 设备中展示了我们的方法，并使用简化的理论噪声模型验证了我们的结果。我们强调了在电子结构变分量子本征求解器计算和量子伊辛模型的时间演化模拟中使用所提出方案的效果。