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量化单光子资源态产生中的泡利错误

Quantifying Pauli Errors in Single-Photon Resource-State Generation

Yuktee Gupta, Andrew C. Doherty, Sahand Mahmoodian

arXiv 2608.03005首次发表:更新:

AI 中文总结

本研究提出方案,利用量子发射器产生的单光子实验可观测量计算光子学量子纠错的泡利错误率,通过一阶相干测量等提取波函数,得到泡利错误概率解析表达式,为容错融合型光子学量子计算提供光子质量确定方法。

AI 中文摘要

我们提出一种方案,利用量子发射器产生的单光子的实验可观测量来计算基于光子学的量子纠错中的泡利错误率。研究表明,可通过光子计数实现的一阶相干测量和一阶交叉关联,能在光子可区分性、激光噪声和光子损耗等缺陷存在时提取单光子及纠缠单光子波函数。基于此,我们证明了从单个量子发射器产生的含噪光子的任意纠缠态的波函数可表示为矩阵乘积态形式,并可用于解析计算对应纠缠态的稳定子生成元的期望值。由此,我们根据光子噪声参数得到了泡利错误概率的解析表达式,还根据这些参数计算了纠缠光子在经历贝尔态测量后的泡利错误映射。本工作提供了一种利用实验测量确定量子发射器产生的光子所需质量的方法,以用于容错融合型光子学量子计算。

英文摘要

We propose a scheme to compute Pauli error rates in photonics-based quantum error correction using experimental observables of single photons produced from quantum emitters. We show that first-order coherence measurements and first-order cross correlations, which can be implemented using photon counting, can extract single-photon and entangled single-photon wavefunctions in the presence of imperfections due to photon distinguishability, laser noise, and photon loss. Leveraging this, we show that the wavefunction of any entangled state of noisy photons produced from a single quantum emitter can be expressed in matrix-product-state form and can be used to analytically compute the expectation value of the stabilizer generators of the corresponding entangled state. From this we obtain analytic expressions for the Pauli error probabilities in terms of the photon noise parameters. Furthermore, we calculate Pauli error maps for entangled photons after undergoing Bell- state measurements in terms of these parameters. Our work provides a method to use experimental measurements to determine the required quality of photons produced from quantum emitters for fault-tolerant fusion-based photonics quantum computing.

Comments20 pages (12 + 8 appendix), 3 figures, 8 tables (3 + 5 appendix)

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