Optimizing Stabilizer Parities for Improved Logical Qubit Memories,Physical Review Letters

当前位置： X-MOL 学术 › Phys. Rev. Lett. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Optimizing Stabilizer Parities for Improved Logical Qubit Memories
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-12-06 , DOI: 10.1103/physrevlett.127.240501
Dripto M Debroy ₁ , Laird Egan ₂ , Crystal Noel _{1,

2,

3} , Andrew Risinger ₂ , Daiwei Zhu ₂ , Debopriyo Biswas ₂ , Marko Cetina _{1,

2} , Chris Monroe _{1,

2,

3,

4} , Kenneth R Brown _{1,

3}

Affiliation

We study variants of Shor’s code that are adept at handling single-axis correlated idling errors, which are commonly observed in many quantum systems. By using the repetition code structure of the Shor’s code basis states, we calculate the logical channel applied to the encoded information when subjected to coherent and correlated single qubit idling errors, followed by stabilizer measurement. Changing the signs of the stabilizer generators allows us to change how the coherent errors interfere, leading to a quantum error-correcting code which performs as well as a classical repetition code of equivalent distance against these errors. We demonstrate a factor of

3.78 \pm 1.20

improvement of the logical

T 2^{*}

in a distance-3 logical qubit implemented on a trapped-ion quantum computer. Even-distance versions of our Shor-code variants are decoherence-free subspaces and fully robust to identical and independent coherent idling noise.

中文翻译：

优化稳定器奇偶校验以改进逻辑量子位内存

我们研究了擅长处理单轴相关空闲错误的 Shor 代码变体，这在许多量子系统中很常见。通过使用 Shor 码基状态的重复码结构，我们计算了在受到相干和相关单量子位空闲错误时应用于编码信息的逻辑信道，然后进行稳定器测量。改变稳定器发生器的符号允许我们改变相干误差的干扰方式，从而产生一种量子纠错码，其性能与对抗这些误差的等效距离的经典重复码一样好。我们证明了一个因素