Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show ma...Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show manifestly how the initial density operator of a single-mode squeezed vacuum state evolves into a definite mixed state which turns out to be a squeezed chaotic state with decreasing-squeezing and deeoherence. We investigate average photon number, photon statistics distributions for this mixed state.展开更多
With the rapid development of knowledge pal malto:wangliye@cuc.edu.cn with a large number of knowledge products when purchasing,leading to the need for an effective recommendation system.However,existing recommendatio...With the rapid development of knowledge pal malto:wangliye@cuc.edu.cn with a large number of knowledge products when purchasing,leading to the need for an effective recommendation system.However,existing recommendation systems cannot accurately and adequately represent paid knowledge products with implicit but specialized features and sparse interactive histories,and thus are deemed not suitable for such products.In this paper,we propose a novel recommendation system for knowledge products,the core of which is the designed customer oriented representation of knowledge products.Specifically,we utilize customer activity information on the free knowledge sharing platform as the knowl-edge document for each customer of paid knowledge products,to extract customer knowledge background and preference.Then,a deep learning based model Doc2vec is adopted to transfer knowledge documents to customer knowledge background vectors.Such vectors of a particular paid knowledge product are further aggregated to a product-level vector for customer-oriented product representation,based on which two recommendation results are generated with product ratings and similarities of paid knowledge prod-ucts,respectively.Extensive comparative experiments are conducted to demonstrate the ffectiveness of the proposed system for the representation and recommendation of paid knowledge products.This paper will contribute to the literature of knowledge payment and recommendation systems,as well as provide practical implications for the information service and the operation of knowledge products on knowledge payment platforms.展开更多
文摘Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show manifestly how the initial density operator of a single-mode squeezed vacuum state evolves into a definite mixed state which turns out to be a squeezed chaotic state with decreasing-squeezing and deeoherence. We investigate average photon number, photon statistics distributions for this mixed state.
基金This work is supported by the National Natural Science Foundation of China under Grant Nos.71772177,72072177,72202221the Open Research Project of the State Key Laboratory of Media Convergence and Communication,Communication University of China under Grant No.SKLMCC2021KF005the"Double First-Class"Major(Key)lconic Project of Bejjing Foreign Studies University(Study on the globalization risk in post epidemic period:From the perspective of financial s-curity and business risk under Grant No.2022SYLZD001),and the Fundamental Resea rch Funds for the Central Universities.
文摘With the rapid development of knowledge pal malto:wangliye@cuc.edu.cn with a large number of knowledge products when purchasing,leading to the need for an effective recommendation system.However,existing recommendation systems cannot accurately and adequately represent paid knowledge products with implicit but specialized features and sparse interactive histories,and thus are deemed not suitable for such products.In this paper,we propose a novel recommendation system for knowledge products,the core of which is the designed customer oriented representation of knowledge products.Specifically,we utilize customer activity information on the free knowledge sharing platform as the knowl-edge document for each customer of paid knowledge products,to extract customer knowledge background and preference.Then,a deep learning based model Doc2vec is adopted to transfer knowledge documents to customer knowledge background vectors.Such vectors of a particular paid knowledge product are further aggregated to a product-level vector for customer-oriented product representation,based on which two recommendation results are generated with product ratings and similarities of paid knowledge prod-ucts,respectively.Extensive comparative experiments are conducted to demonstrate the ffectiveness of the proposed system for the representation and recommendation of paid knowledge products.This paper will contribute to the literature of knowledge payment and recommendation systems,as well as provide practical implications for the information service and the operation of knowledge products on knowledge payment platforms.
