arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1809.09264quant-ph
收藏

用预探测压缩和非理想光子数分辨探测器提高线性光学贝尔测量成功概率

Boosting Linear-Optical Bell Measurement Success Probability with Pre-Detection Squeezing and Imperfect Photon-Number-Resolving Detectors

Thomas Kilmer, Saikat Guha

摘要:

在两个单光子量子比特上线性光学实现贝尔态测量(BSM)的成功概率为$p_s$不高于$0.5$。然而,检测前正交压缩,即,在通常的线性光学BSM电路中,量子噪声受限的相敏放大可以产生${p_s \approx 0.643}$。已经发现实现$p_s > 0.5$的能力在线性光量子计算和全光子量子中继器的资源有效实现中是关键的。然而,不知道$p_s > 0.5$的上述值是使用挤压可实现的最大值,从而使得使用挤压作为资源是否可以实现接近$100\%$的有效BSM是开放的。在本文中,我们报告了新的见解,为什么挤压增强BSM实现$p_s > 0.5$。利用这一点,我们表明,以前报道的${p_s \approx 0.643}$在单模压缩强度$r=0.6585$--明确的状态歧视(USD)的所有四个贝尔状态--是一个实验上无法实现的点的结果,它下降到$p_s \approx 0.59$与$r$的最轻微的变化。然而,我们表明,挤压诱导的$p_s$与USD操作的提升仍然是可能的,在一个连续的范围内的$r$,与实验上可实现的最大值发生在$r=0.5774$,实现${p_s \approx 0.596}$。最后,偏离USD操作,我们探索了$p_s$,BSM电路宣布"成功"的概率,与错误的概率$p_e$,输入贝尔状态被错误地识别给定的电路宣布成功的概率之间的交易空间。由于量子纠错可以校正一些$p_e > 0$,因此这种折衷可以通过潜在地增加与$p_s$的纠缠生成速率来实现更好的量子中继器设计,超过了传统研究的BSM的USD操作所可能的纠缠生成速率。

英文摘要:

Linear optical realizations of Bell state measurement (BSM) on two single-photon qubits succeed with probability $p_s$ no higher than $0.5$. However pre-detection quadrature squeezing, i.e., quantum noise limited phase sensitive amplification, in the usual linear-optical BSM circuit, can yield ${p_s \approx 0.643}$. The ability to achieve $p_s > 0.5$ has been found to be critical in resource-efficient realizations of linear optical quantum computing and all-photonic quantum repeaters. Yet, the aforesaid value of $p_s > 0.5$ is not known to be the maximum achievable using squeezing, thereby leaving it open whether close-to-$100\%$ efficient BSM might be achievable using squeezing as a resource. In this paper, we report new insights on why squeezing-enhanced BSM achieves $p_s > 0.5$. Using this, we show that the previously-reported ${p_s \approx 0.643}$ at single-mode squeezing strength $r=0.6585$---for unambiguous state discrimination (USD) of all four Bell states---is an experimentally unachievable point result, which drops to $p_s \approx 0.59$ with the slightest change in $r$. We however show that squeezing-induced boosting of $p_s$ with USD operation is still possible over a continuous range of $r$, with an experimentally achievable maximum occurring at $r=0.5774$, achieving ${p_s \approx 0.596}$. Finally, deviating from USD operation, we explore a trade-space between $p_s$, the probability with which the BSM circuit declares a "success", versus the probability of error $p_e$, the probability of an input Bell state being erroneously identified given the circuit declares a success. Since quantum error correction could correct for some $p_e > 0$, this tradeoff may enable better quantum repeater designs by potentially increasing the entanglement generation rates with $p_s$ exceeding what is possible with traditionally-studied USD operation of BSMs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑