It was showed in [Phys. Rev. Lett. 125 090401(2020)] that there exist unbounded number of independent Bobs who can share quantum nonlocality with a single Alice by performing sequentially measurements on the Bob's...It was showed in [Phys. Rev. Lett. 125 090401(2020)] that there exist unbounded number of independent Bobs who can share quantum nonlocality with a single Alice by performing sequentially measurements on the Bob's half of the maximally entangled pure two-qubit state. However, from practical perspectives, errors in entanglement generation and noises in quantum measurements will result in the decay of nonlocality in the scenario. In this paper, we analyze the persistency and termination of sharing nonlocality in the noisy scenario. We first obtain the two sufficient conditions under which there exist n independent Bobs who can share nonlocality with a single Alice under noisy measurements and the noisy initial two qubit entangled state. Analyzing the two conditions, we find that the influences on persistency under different kinds of noises can cancel each other out. Furthermore, we describe the change patterns of the maximal nonlocality-sharing number under the influence of different noises. Finally, we extend our investigation to the case of arbitrary finite-dimensional systems.展开更多
设a、b为C-代数中的两个元,上线性映射M<sub>a.b</sub>:x→axb称为的一个乘子,而S=sum from i=1 to n M<sub>a<sub>i</sub>.b<sub>i</sub></sub>称为上的初等算子。如果M<sub>a....设a、b为C-代数中的两个元,上线性映射M<sub>a.b</sub>:x→axb称为的一个乘子,而S=sum from i=1 to n M<sub>a<sub>i</sub>.b<sub>i</sub></sub>称为上的初等算子。如果M<sub>a.a</sub>是上的紧、有限秩、一秩映射,则分别称a是中的紧元、有限维元、一维元;如果对任意x,y∈,xay=0蕴涵xa=0或ay=0,则称a为中的single元,如果C-代数中的任两个非零理想的积仍是非零的,则称是素的,近年来对于C-代数上乘子及初等算子有不少文献作了深入探讨,展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos.12271394 and 12071336)the Key Research and Development Program of Shanxi Province (Grant No.202102010101004)。
文摘It was showed in [Phys. Rev. Lett. 125 090401(2020)] that there exist unbounded number of independent Bobs who can share quantum nonlocality with a single Alice by performing sequentially measurements on the Bob's half of the maximally entangled pure two-qubit state. However, from practical perspectives, errors in entanglement generation and noises in quantum measurements will result in the decay of nonlocality in the scenario. In this paper, we analyze the persistency and termination of sharing nonlocality in the noisy scenario. We first obtain the two sufficient conditions under which there exist n independent Bobs who can share nonlocality with a single Alice under noisy measurements and the noisy initial two qubit entangled state. Analyzing the two conditions, we find that the influences on persistency under different kinds of noises can cancel each other out. Furthermore, we describe the change patterns of the maximal nonlocality-sharing number under the influence of different noises. Finally, we extend our investigation to the case of arbitrary finite-dimensional systems.
文摘设a、b为C-代数中的两个元,上线性映射M<sub>a.b</sub>:x→axb称为的一个乘子,而S=sum from i=1 to n M<sub>a<sub>i</sub>.b<sub>i</sub></sub>称为上的初等算子。如果M<sub>a.a</sub>是上的紧、有限秩、一秩映射,则分别称a是中的紧元、有限维元、一维元;如果对任意x,y∈,xay=0蕴涵xa=0或ay=0,则称a为中的single元,如果C-代数中的任两个非零理想的积仍是非零的,则称是素的,近年来对于C-代数上乘子及初等算子有不少文献作了深入探讨,
