Theoretical Research On Quantum Coherence And Path Information In Multi-slit Interference

Quantum information is a comprehensive discipline established on the basis of multiple fields and has received extensive attentions due to its enormous application potential.Quan-tum computing is the core topic in quantum information research.The efficiency of quantum computing is much higher than the classical calculation due to the parallel computing can be realized.However,the superposition of quantum state makes people cannot correctly distinguish quantum states to obtain system information in the process of information trans-mission.Therefore,in order to develop quantum computer,scientists have proposed a variety of schemes for distinguishing quantum states to reduce the probability of errorsThere are two kinds of work done in this paper.On the one hand,we design the contin-uous measurement in the multi-slit interference model and give the bounds of the probability of successfully detecting the particle.After discussion of the results,it can be found that the continuous measurement can reduce the probability of errors.This shows that the path information of the system can be determined more accurately when the coherence are equiv-alent.On the other hand,the work is mainly to explore the non-zero Sorkin parameters in the experiment.After considering the influence of the high-order terms on measured path information,the variation of the probability distribution is verified and the evolution process is given.In order to further reveal the nature of higher-order terms,we define the concept of system purity in the theoretical framework-Density Cubes and find that when the Sorkin pa-rameter is not zero,the purity of the system is reduced and the coherence information is lost.Finally,it can be determined that the experimentally measured non-zero Sorkin parameter is not caused by high-order interference,but should be a type of decoherence phenomenon This conclusion is also beneficial to improve the efficiency of distinguishing quantum states in the continuous measurementThe content of this article is arranged as follows:The first chapter describes the development background and research purposes of this paper.We discuss around the topic of the research process of complementary relationship and the research significance of quantum state distinction.Then the Born rule and the Sorkin parameters in multi-slit interference model is introduced.The second chapter details the quantum information foundation and mathematical foun-dation used.In the third chapter,the non-zero Sorkin parameter is explored.First,we show the physical property of high-order terms and discuss it based on the theoretical framework-Density Cubes.The changes of the measured path information are analyzed by comparing the two measurement schemes and introducing the influence of high-order terms.Then the verification of the non-zero Sorkin parameters in the experiment is presented.Furthermore,we establish the purity of the system in this kind of theoretical framework to discuss the change of system purity after the introduction of high-order terms.The fourth chapter introduces a method to measure the overlapping quantum states.By designing the differentiation scheme of quantum states in continuous measurement,the maximum probability of successfully distinguishing quantum states in multi-slit interference is given and the results are discussed.Then we analyze the change of the derived complementary relationship in multi-slit interference when the system introduces high-order terms.In the last chapter of this paper,the work done in this paper is summarized,and the prospect of the next step is given.