The Jino nationality, an ethnic minority with a population of 18,021, has mainly settled in Jino Township, the Xishuangbanna Dai Nationality Autonomous Prefecture, and surrounding mountain areas. The Jino has its own ...The Jino nationality, an ethnic minority with a population of 18,021, has mainly settled in Jino Township, the Xishuangbanna Dai Nationality Autonomous Prefecture, and surrounding mountain areas. The Jino has its own language, but no written script. "Jino" means "the nationality that respects the uncle on the maternal side." At the founding of New China in 1949, the Jino people were still展开更多
In this paper we investigate the global property of the states constructed through superposition of many states by using the concept of incomparability under LOCC as the inherent property of the states.In our work we ...In this paper we investigate the global property of the states constructed through superposition of many states by using the concept of incomparability under LOCC as the inherent property of the states.In our work we are able to form a bridge between comparable and incomparable classes of states through linear superposition of a states and the concept of strong incomparability criterian under LOCC. PACS number(s): 03.67.Hk, 03.65.Ud, 03.65.Ta, 03.67.-a, 89.70+c.展开更多
The entanglement of a pure bipartite state is uniquely measured by the von-Neumann entropy of its reduced density matrices. Though it cannot specify all the non-local characteristics of pure entangled states. It was p...The entanglement of a pure bipartite state is uniquely measured by the von-Neumann entropy of its reduced density matrices. Though it cannot specify all the non-local characteristics of pure entangled states. It was proven that for every possible value of entanglement of a bipartite system, there exists an infinite number of equally entangled pure states, not comparable(satisfies Nielsen’s criteria) to each other. In this work, we investigate other correlation measures of pure bipartite states that are able to differentiate the quantum correlations of the states with entropy of entanglement. In Schmidt rank 3, we consider the whole set of states having same entanglement and compare how minutely such states can be distinguished by other correlation measures. Then for different values of entanglement we compare the sets of states belonging to the same entanglement and also investigate the graphs of different correlation measures. We extend our search to Schmidt rank 4 and 5 also.展开更多
This paper introduces "almost correct" and "almost fast" exponential-time approximation algorithms,and studies relationships between the approximate and probabilistic complexity classes.Some re-sul...This paper introduces "almost correct" and "almost fast" exponential-time approximation algorithms,and studies relationships between the approximate and probabilistic complexity classes.Some re-sulis on incomparability between these classes have been obtained.展开更多
By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value prob...By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value problem(BVP,for short) on unbounded domains.Moreover,an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.展开更多
文摘The Jino nationality, an ethnic minority with a population of 18,021, has mainly settled in Jino Township, the Xishuangbanna Dai Nationality Autonomous Prefecture, and surrounding mountain areas. The Jino has its own language, but no written script. "Jino" means "the nationality that respects the uncle on the maternal side." At the founding of New China in 1949, the Jino people were still
文摘In this paper we investigate the global property of the states constructed through superposition of many states by using the concept of incomparability under LOCC as the inherent property of the states.In our work we are able to form a bridge between comparable and incomparable classes of states through linear superposition of a states and the concept of strong incomparability criterian under LOCC. PACS number(s): 03.67.Hk, 03.65.Ud, 03.65.Ta, 03.67.-a, 89.70+c.
文摘The entanglement of a pure bipartite state is uniquely measured by the von-Neumann entropy of its reduced density matrices. Though it cannot specify all the non-local characteristics of pure entangled states. It was proven that for every possible value of entanglement of a bipartite system, there exists an infinite number of equally entangled pure states, not comparable(satisfies Nielsen’s criteria) to each other. In this work, we investigate other correlation measures of pure bipartite states that are able to differentiate the quantum correlations of the states with entropy of entanglement. In Schmidt rank 3, we consider the whole set of states having same entanglement and compare how minutely such states can be distinguished by other correlation measures. Then for different values of entanglement we compare the sets of states belonging to the same entanglement and also investigate the graphs of different correlation measures. We extend our search to Schmidt rank 4 and 5 also.
基金Project supported by the NSF Grant of ChinaGuizhou Science Foundation
文摘This paper introduces "almost correct" and "almost fast" exponential-time approximation algorithms,and studies relationships between the approximate and probabilistic complexity classes.Some re-sulis on incomparability between these classes have been obtained.
基金Foundation item： the National Natural Science Foundation of China （No. 10671167） the Natural Science Foundation of Liaocheng University （No. 31805）.
文摘By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value problem(BVP,for short) on unbounded domains.Moreover,an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.
