论文标题
量子和经典噪声雷达源之间的比较
A comparison between quantum and classical noise radar sources
论文作者
论文摘要
我们将基于两种模式挤压状态的量子雷达的性能与基于相关热噪声的经典雷达系统进行比较。通过限制相等数量的光子$ n_s $传输以探测环境的限制，我们发现量子设置在交叉模式相关性中对其经典的$ \ sqrt {2} $具有优势。在协议的不同阶段考虑信号和惰轮的放大，即使在可用量子限制的放大器可用时，也无法实现大量增益时，无法实现量子优势。我们还表征了最小的II型错误概率衰减，给定对I型错误概率的限制，并发现量子设置中类型II误差概率的最佳衰减率为$ \ ln（1+1/n_s）$，比最佳经典设置大，在$ N_S \ ll1 $机制中。此外，当惰轮和接收信号分别测量时，我们考虑了场景的接收器工作特性（ROC）曲线，表明在这种情况下没有量子优势。我们的工作表征了量子相关性和量子雷达系统中噪声之间的权衡。
We compare the performance of a quantum radar based on two-mode squeezed states with a classical radar system based on correlated thermal noise. With a constraint of equal number of photons $N_S$ transmitted to probe the environment, we find that the quantum setup exhibits an advantage with respect to its classical counterpart of $\sqrt{2}$ in the cross-mode correlations. Amplification of the signal and the idler is considered at different stages of the protocol, showing that no quantum advantage is achievable when a large-enough gain is applied, even when quantum-limited amplifiers are available. We also characterize the minimal type-II error probability decay, given a constraint on the type-I error probability, and find that the optimal decay rate of the type-II error probability in the quantum setup is $\ln(1+1/N_S)$ larger than the optimal classical setup, in the $N_S\ll1$ regime. In addition, we consider the Receiver Operating Characteristic (ROC) curves for the scenario when the idler and the received signal are measured separately, showing that no quantum advantage is present in this case. Our work characterizes the trade-off between quantum correlations and noise in quantum radar systems.
