双模压缩光双曲线定位方案设计与分析

A Scheme Design and Analysis of Hyperbolic Positioning with Two-mode Squeezing Light

采用无线电信号的双曲定位方法由于受到其信号功率与带宽的制约,其定位精度存在着不可逾越的上限,且易受干扰、测量距离有限等问题日趋显现,而采用量子纠缠信号作为测量信号,可以突破经典无线电信号体制的限制,大大提高定位精度与保密性,实现具有超高精度、远距离、强抗噪抗干扰性等优点的量子定位。就此提出一种基于双模压缩光与Bell态直接探测的双曲线定位方案,使用双模压缩光作为发射信号,在目标接收端使用Bell态直接探测系统对两路纠缠光进行检测并对其中一路光束进行延迟,而后提取其正交分量的关联噪声,取关联噪声的最小值时对应的延迟时间作为两光束的完全量子关联时刻,即为两纠缠光的波达时间差,通过时间差的测定可以转换得到距离差,得到1组双曲线,另选2个基点重复上述过程可得第2组双曲线,从而实现定位。通过理论推算与一定假设条件下的仿真分析,给出理论上能达到的定位精度与误差范围。

Aimed at the problems that the hyperbola positioning measure of adopting radio signal is limited by signal power or bandwidth,its positioning precision exists in hardly going beyond a ceiling and is susceptible to interference,insufficient measure distance and so on are becoming more obvious,the limitation of traditional radio signal system adopted by using quantum entanglement signals as measuring signals can greatly improve the precision and confidentiality.In this way,quantum positioning can be realized with advantages of ultra-precision,long range and strong anti-interference as well as noise resistance.According to that,a hyperbola positioning scheme based on two-mode squeezed light and Bell state direct measurement is proposed.Two-mode squeezed light is used as transmitting signals and in target receiving terminal Bell state direct measurement system is used to check two paths of entangled light and delay one of them.Then,the correlated noise of quadrature component is extracted and the delay time when the correlated noise value comes to the minimum can be seen as the moment of complete quantum correlation between twopaths of light,which is the time difference of wave arrival between the two paths of entangled light.By measuring the time difference,the distance difference can be calculated to obtain a group of hyperbola.In this way,another two base points are chosen to repeat the process above to get the second hyperbola so as to conducting the positioning.By theoretical calculation and simulation analysis under some given conditions,the theoretical positioning precision and error range can be achieved.