Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters
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| Format: | Preprint |
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2024
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| _version_ | 1866917973085650944 |
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| author | Kim, Jintae Han, Jung Hoon Kim, Isaac H. |
| author_facet | Kim, Jintae Han, Jung Hoon Kim, Isaac H. |
| contents | We propose a fault-tolerant quantum error correction architecture consisting of a linear array of emitters and delay lines. In our scheme, a resource state for fault-tolerant quantum computation is generated by letting the emitters interact with a stream of photons and their neighboring emitters. Depending on the number of emitters $n_e$, we study the effect of delay line errors in two regimes: when $n_e$ is a small constant of order unity and when $n_e$ scales with the code distance. Between these two regimes, the logical error rate steadily decreases as $n_e$ increases, from a scaling of $\exp(-cη^{-1/2})$ to $\exp(-c'η^{-1})$, where $η$ is the error rate per unit length in the delay line, for some constants $c,c'>0$. We also carry out a detailed study of the break-even point and the fault-tolerance overhead. These studies suggest that the multi-emitter architecture, using the state-of-the-art delay lines, can be used to demonstrate error suppression, assuming other sources of errors are sufficiently small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01376 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters Kim, Jintae Han, Jung Hoon Kim, Isaac H. Quantum Physics We propose a fault-tolerant quantum error correction architecture consisting of a linear array of emitters and delay lines. In our scheme, a resource state for fault-tolerant quantum computation is generated by letting the emitters interact with a stream of photons and their neighboring emitters. Depending on the number of emitters $n_e$, we study the effect of delay line errors in two regimes: when $n_e$ is a small constant of order unity and when $n_e$ scales with the code distance. Between these two regimes, the logical error rate steadily decreases as $n_e$ increases, from a scaling of $\exp(-cη^{-1/2})$ to $\exp(-c'η^{-1})$, where $η$ is the error rate per unit length in the delay line, for some constants $c,c'>0$. We also carry out a detailed study of the break-even point and the fault-tolerance overhead. These studies suggest that the multi-emitter architecture, using the state-of-the-art delay lines, can be used to demonstrate error suppression, assuming other sources of errors are sufficiently small. |
| title | Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.01376 |