论文标题
用整数优化解码器解码全息代码
Decoding Holographic Codes with an Integer Optimisation Decoder
论文作者
论文摘要
我们基于通用整数优化的稳定器代码开发了最可能的错误Pauli错误解码算法。使用此解码器，我们分析了针对Pauli错误的全息代码的性能，并找到针对批量量子的Pauli错误的阈值的数值证据。我们比较了各种代码率的全息代码家族的性能，并发现现象学Pauli错误门槛从$ 7 \％$ $ $ $ $ $ $ $，具体取决于代码率。此外，我们提供了数值证据，表明我们考虑使用物理量子数的代码的特定距离度量。
We develop a most likely error Pauli error decoding algorithm for stabiliser codes based on general purpose integer optimisation. Using this decoder we analyse the performance of holographic codes against Pauli errors and find numerical evidence for thresholds against Pauli errors for bulk qubits. We compare the performance of holographic code families of various code rates and find phenomenological Pauli error thresholds ranging from $7\%$ to $16\%$, depending on the code rate. Additionally we give numerical evidence that specific distance measures of the codes we consider scales polynomially with number of physical qubits.
