Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for...Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states.展开更多
Quantum full adders play a key role in the design of quantum computers.The efficiency of a quantum adder directly determines the speed of the quantum computer,and its complexity is closely related to the difficulty an...Quantum full adders play a key role in the design of quantum computers.The efficiency of a quantum adder directly determines the speed of the quantum computer,and its complexity is closely related to the difficulty and the cost of building a quantum computer.The existed full adder based on R gate is a great design but it is not suitable to construct a quantum multiplier.We show the quantum legitimacy of some common reversible gates,then use R gate to propose a new design of a quantum full adder.We utilize the new designed quantum full adder to optimize the quantum multiplier which is based on R gate.It is shown that the new designed one can be optimized by a local optimization rule so that it will have lower quantum cost than before.展开更多
The Bell nonlocality is closely related to the foundations of quantum physics and has significant applications to security questions in quantum key distributions.In recent years,the sharing ability of the Bell nonloca...The Bell nonlocality is closely related to the foundations of quantum physics and has significant applications to security questions in quantum key distributions.In recent years,the sharing ability of the Bell nonlocality has been extensively studied.The nonlocality of quantum network states is more complex.We first discuss the sharing ability of the simplest bilocality under unilateral or bilateral POVM measurements,and show that the nonlocality sharing ability of network quantum states under unilateral measurements is similar to the Bell nonlocality sharing ability,but different under bilateral measurements.For the star network scenarios,we present for the first time comprehensive results on the nonlocality sharing properties of quantum network states,for which the quantum nonlocality of the network quantum states has a stronger sharing ability than the Bell nonlocality.展开更多
We study von Neumann measurement-related matrices, and the nullity condition of quantum correlation. We investigate the properties of these matrices that are related to a von Neumann measurement. It is shown that thes...We study von Neumann measurement-related matrices, and the nullity condition of quantum correlation. We investigate the properties of these matrices that are related to a von Neumann measurement. It is shown that these(m^2-1)×(m^2-1) matrices are idempotent, and have rank m-1. These properties give rise to necessary conditions for the nullity of quantum correlations in bipartite systems. Finally, as an example we discuss quantum correlation in Bell diagonal states.展开更多
In this paper,we use certain norm inequalities to obtain new uncertain relations based on the Wigner-Yanase skew information.First for an arbitrary finite number of observables we derive an uncertainty relation outper...In this paper,we use certain norm inequalities to obtain new uncertain relations based on the Wigner-Yanase skew information.First for an arbitrary finite number of observables we derive an uncertainty relation outperforming previous lower bounds.We then propose new weighted uncertainty relations for two noncompatible observables.Two separable criteria via skew information are also obtained.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11501153,11661031,and 11675113)the National Natural Science Foundation of Hainan Province,China(Grant No.20161006)
文摘Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states.
基金Project supported by the National Natural Science Foundation of China(Grant No.11861031).
文摘Quantum full adders play a key role in the design of quantum computers.The efficiency of a quantum adder directly determines the speed of the quantum computer,and its complexity is closely related to the difficulty and the cost of building a quantum computer.The existed full adder based on R gate is a great design but it is not suitable to construct a quantum multiplier.We show the quantum legitimacy of some common reversible gates,then use R gate to propose a new design of a quantum full adder.We utilize the new designed quantum full adder to optimize the quantum multiplier which is based on R gate.It is shown that the new designed one can be optimized by a local optimization rule so that it will have lower quantum cost than before.
基金supported by the National Natural Science Foundation of China(NSFC)under Grant Nos.12126314,12126351,11861031,12075159,and 12171044the Hainan Provincial Natural Science Foundation of China under Grant No.121RC539+3 种基金the Specific Research Fund of the Innovation Platform for Academicians of Hainan Province under Grant No.YSPTZX202215Beijing Natural Science Foundation(Grant No.Z190005)Academy for Multidisciplinary Studies,Capital Normal UniversityShenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology(No.SIQSE202001).
文摘The Bell nonlocality is closely related to the foundations of quantum physics and has significant applications to security questions in quantum key distributions.In recent years,the sharing ability of the Bell nonlocality has been extensively studied.The nonlocality of quantum network states is more complex.We first discuss the sharing ability of the simplest bilocality under unilateral or bilateral POVM measurements,and show that the nonlocality sharing ability of network quantum states under unilateral measurements is similar to the Bell nonlocality sharing ability,but different under bilateral measurements.For the star network scenarios,we present for the first time comprehensive results on the nonlocality sharing properties of quantum network states,for which the quantum nonlocality of the network quantum states has a stronger sharing ability than the Bell nonlocality.
基金supported by the National Natural Science Foundation of China(Grant Nos.11401032,11501153,11275131,and 11675113)the Natural Science Foundation of Hainan Province(Grant No.20161006)
文摘We study von Neumann measurement-related matrices, and the nullity condition of quantum correlation. We investigate the properties of these matrices that are related to a von Neumann measurement. It is shown that these(m^2-1)×(m^2-1) matrices are idempotent, and have rank m-1. These properties give rise to necessary conditions for the nullity of quantum correlations in bipartite systems. Finally, as an example we discuss quantum correlation in Bell diagonal states.
基金the National Natural Science Foundation of China(grant Nos.11861031 and 11531004)the Education Department of Hainan Province Hnky2020ZD10Simons Foundation grant No.523868。
文摘In this paper,we use certain norm inequalities to obtain new uncertain relations based on the Wigner-Yanase skew information.First for an arbitrary finite number of observables we derive an uncertainty relation outperforming previous lower bounds.We then propose new weighted uncertainty relations for two noncompatible observables.Two separable criteria via skew information are also obtained.
