Hyperbola Positioning Scheme Based on Continuous Entangled Light and Bell State Direct Measurement

Limited by signal power or bandwidth, traditional navigation measures have ceiling hard to reach so that there are some problems of lacking navigation precision, susceptible to interference, insufficient measure distance and so on. With the rapid development of quantum mechanics as well as quantum information theory and the advance of relevant theory and technology, quantum's characteristics of squeezing effect and entanglement are applied to modern navigation and positioning system, which can greatly improve the precision and confidentiality to break the limitation of positioning precision due to restricted radio power and bandwidth. 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 continuous entangled light and Bell state direct measurement is proposed. Based on theory of hyperbola positioning, continuous entangled light is used as transmitting signals and in target receiving terminal Bell state direct measurement system is used to check two ways of continuous entangled light and delay one of them. Then, coherent processing is conducted, and the delay time of the maximum correlation value is the time difference between the two ways of continuous entangled light. According to 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 analysis and parameter estimation, the theoretical positioning precision and error range in given conditions can be achieved.