第一章 Introduction and overview 1
第二章 Mathematical foundation and fundamental concepts 11
2.1 Mathematical framework for quantum mechanics 11
2.2 Entropy and quantum information 21
2.2.1 Shannon entropy 21
2.2.2 von Neumann entropy 23
2.3 The measure of quantum entanglement 25
2.4 Quantum discord 28
2.4.1 The definition of quantum discord 28
2.4.2 Quantum discord for Bell-diagonal states and Werner state 29
2.5 Quantum deficit 31
2.6 Dynamics of under local nondissipative channels 32
第三章 One-way deficit and geometry for X states with four parameters 35
3.1 One-way deficit of Bell-diagonal states 37
3.2 One-way deficit of X states with four parameters and its geometrical depiction 40
3.3 Dynamics of one-way deficit of X states with four parameters under local nondissipative channels 45
3.4 Conclusions 47
第四章 One-way deficit for X states with five parameters 51
4.1 One-way deficit for X states with five parameters 51
4.2 Dynamics of One-way deficit for X states with five parameters 57
4.3 Conclusions 60
第五章 One-way deficit of SU（2）invariant states 63
5.1 SU（2）invariant states and its quantum discord 63
5.2 One-way deficit of SU（2）invariant states 67
5.3 One-way deficit of SU（2）invariant states compared with quantum discord and EoF 71
5.4 Conclusions 74
第六章 Super quantum correlation and geometry for Bell-diagonal states with weak measurements 79
6.1 Super quantum correlation of Werner state with weak measurements 79
6.2 Super quantum discord for Bell-diagonal states with weak measure-ments and its geometrical depiction 83
6.3 Dynamics of super quantum correlation and quantum correlation for Werner state and Bell-diagonal states under local nondissipative channels 87
6.4 Conclusions 92
第七章 Maximal Holevo quantity based on weak measurements 97
7.1 Maximal Holevo quantity for projective measurements and weak measurements 98
7.2 Dynamics of MHQWM of Bell-diagonal states under local nondissi-pative channels 108
7.3 Weak measurements can be realized by noise and project measure-ments 111
7.4 Conclusions 112
References 114
Acknowledgements 122
List of Publications 123