论文标题

来自资源限制的量子计算中的限制

Limitations in quantum computing from resource constraints

论文作者

Fellous-Asiani, Marco, Chai, Jing Hao, Whitney, Robert S., Auffèves, Alexia, Ng, Hui Khoon

论文摘要

耐故障方案可以使用误差校正来任意进行量子计算,前提是每个物理组件的误差小于计算机大小的一定阈值和依赖性。但是,在当前的实验中,物理资源限制(例如能量,音量或可用带宽)会导致通常随着计算机增长而增长的错误率。考虑到这些约束,我们表明误差校正的量可以被视为最大,从而最大程度地达到了可实现的计算准确性。对于噪声依赖性依赖性的通用情况,我们发现了这一点。通过反转逻辑,我们为实验者提供了一种工具,可以找到具有给定计算精度的算法所需的最低资源。当与全栈量子计算模型结合使用时,这为未来大规模量子计算机的能量估计提供了基础。

Fault-tolerant schemes can use error correction to make a quantum computation arbitrarily ac- curate, provided that errors per physical component are smaller than a certain threshold and in- dependent of the computer size. However in current experiments, physical resource limitations like energy, volume or available bandwidth induce error rates that typically grow as the computer grows. Taking into account these constraints, we show that the amount of error correction can be opti- mized, leading to a maximum attainable computational accuracy. We find this maximum for generic situations where noise is scale-dependent. By inverting the logic, we provide experimenters with a tool to finding the minimum resources required to run an algorithm with a given computational accuracy. When combined with a full-stack quantum computing model, this provides the basis for energetic estimates of future large-scale quantum computers.

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