量子纠缠
熵不确定性
量子不和谐
关系(数据库)
冯·诺依曼熵
统计物理学
不确定性原理
量子位元
量子
熵(时间箭头)
冯·诺依曼建筑
量子力学
物理
压扁的纠缠
理论物理学
数学
计算机科学
纯数学
数据库
作者
Yun Cao,Dong Wang,Xiao‐Gang Fan,Fei Ming,Zhang-Yin Wang,Ye Liu
标识
DOI:10.1088/1572-9494/abc46f
摘要
Abstract Quantum entanglement is regarded as one of the core concepts, which is used to describe the non-classical correlation between subsystems, and entropic uncertainty relation plays a vital role in quantum precision measurement. It is well known that entanglement of formation can be expressed by von Neumann entropy of subsystems for arbitrary pure states. An interesting question is naturally raised: is there any intrinsic correlation between the entropic uncertainty relation and quantum entanglement? Or if the relation can be applied to estimate the entanglement. In this work, we focus on exploring the complementary relation between quantum entanglement and the entropic uncertainty relation. The results show that there exists an inequality relation between both of them for an arbitrary two-qubit system, and specifically the larger uncertainty will induce the weaker entanglement of the probed system, and vice versa. Besides, we use randomly generated states as illustrations to verify our results. Therefore, we claim that our observations might offer and support the validity of using the entropy uncertainty relation to estimate quantum entanglement.
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