In this review,we introduce well-known Bell inequalities,the relations between the Bell inequality and quantum separability,and the entanglement distillation of quantum states.It is shown that any pure entangled quant...In this review,we introduce well-known Bell inequalities,the relations between the Bell inequality and quantum separability,and the entanglement distillation of quantum states.It is shown that any pure entangled quantum state violates one of Bell-like inequalities.Moreover,quantum states that violate any one of these Bell-like inequalities are shown to be distillable.New Bell inequalities that detect more entangled mixed states are also introduced.展开更多
We study the optimal quantum control of heteronuclear two-qubit systems described by a Hamiltonian containing both nonlocal internal drift and local control terms.We derive an explicit formula to compute the minimum t...We study the optimal quantum control of heteronuclear two-qubit systems described by a Hamiltonian containing both nonlocal internal drift and local control terms.We derive an explicit formula to compute the minimum time required to steer the system from an initial state to a specified final state.As applications the minimal time to implement Controlled-NOT gate,SWAP gate and Controlled-U gate is calculated in detail.The experimental realizations of these quantum gates are explicitly presented.展开更多
基金supported by the National Natural Science Foundation of China(10875081)Key Program of Beijing Municipal Eduction Commission(KZ200810028013)Academic Human Resources Development in Institutions of Higher Learning(PHR201007107)
文摘In this review,we introduce well-known Bell inequalities,the relations between the Bell inequality and quantum separability,and the entanglement distillation of quantum states.It is shown that any pure entangled quantum state violates one of Bell-like inequalities.Moreover,quantum states that violate any one of these Bell-like inequalities are shown to be distillable.New Bell inequalities that detect more entangled mixed states are also introduced.
基金supported by the National Natural Science Foundation of China(Grant No.11275131)the National Research Foundation for the Doctoral Program of Higher Education of China
文摘We study the optimal quantum control of heteronuclear two-qubit systems described by a Hamiltonian containing both nonlocal internal drift and local control terms.We derive an explicit formula to compute the minimum time required to steer the system from an initial state to a specified final state.As applications the minimal time to implement Controlled-NOT gate,SWAP gate and Controlled-U gate is calculated in detail.The experimental realizations of these quantum gates are explicitly presented.
