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arXiv 0903.3876quant-ph
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利用纠缠光子进行量子目标探测

Quantum target detection using entangled photons

A. R. Usha Devi, A. K. Rajagopal

摘要:

我们研究了纯连续变量状态在鉴别热通道和身份通道中的性能,比较了它们的M拷贝错误概率界。这为我们提供了一个简化的量子目标检测的数学分析,并对其进行了轻微的修改:对象-如果存在-完美地反射了照射它的信号束,而热噪声光子则在没有它的情况下返回到接收器。该模型有助于我们获得关于误差概率界的分析结果,即,讨论了光子数态、N_(00)N态、相干态和自发参量下转换(SPDC)产生的纠缠光子等重要量子态的M-拷贝鉴别错误概率的量子自洽界和由Bhattacharya界构造的下界。比较的$M$复制误差界,我们确定,N 00 N状态确实提供增强的灵敏度比光子数态系统,当平均信号光子数是小的相比,热噪声水平。然而,在高信噪比的情况下,N 00 N状态不能比光子数状态更有利。纠缠SPDC光子对在低信噪比情况下也优于传统相干态系统。另一方面,当信号强度远高于热噪声强度时,传统相干态系统的性能灵敏度超过了纠缠光子对。我们发现一个类似的性能制度,在有损目标检测(目标被建模为一个弱反射物体)在高信噪比的情况下。

英文摘要:

We investigate performances of pure continuous variable states in discriminating thermal and identity channels by comparing their M-copy error probability bounds. This offers us a simplified mathematical analysis for quantum target detection with slightly modified features: the object -- if it is present -- perfectly reflects the signal beam irradiating it, while thermal noise photons are returned to the receiver in its absence. This model facilitates us to obtain analytic results on error-probability bounds i.e., the quantum Chernoff bound and the lower bound constructed from the Bhattacharya bound on M-copy discrimination error-probabilities of some important quantum states, like photon number states, N00N states, coherent states and the entangled photons obtained from spontaneous parametric down conversion (SPDC). Comparing the $M$-copy error-bounds, we identify that N00N states indeed offer enhanced sensitivity than the photon number state system, when average signal photon number is small compared to the thermal noise level. However, in the high signal-to-noise scenario, N00N states fail to be advantageous than the photon number states. Entangled SPDC photon pairs too outperform conventional coherent state system in the low signal-to-noise case. On the other hand, conventional coherent state system surpasses the performance sensitivity offered by entangled photon pair, when the signal intensity is much above that of thermal noise. We find an analogous performance regime in the lossy target detection (where the target is modeled as a weakly reflecting object) in a high signal-to-noise scenario.

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。

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