自旋链中序贯产生的纠缠、宏观性和压缩
Sequentially generated entanglement, macroscopicity and squeezing in a spin chain
摘要：
我们研究了一维自旋量子比特链上的最近邻二体纠缠产生的量子态。在这样一组操作的单次扫描之后，系统有效地由具有与自旋量子位相同的虚拟维度的矩阵乘积状态（MPS）来描述。我们采用MPS的显式形式计算局部观测量的期望值和两点关联函数，并利用所得结果研究集体观测量的涨落。通过所谓的宏观性和集体自旋变量的压缩性质，他们见证了链中的量子关联和多粒子纠缠。宏观性只发生在整个链，如果最近的邻居相互作用是最大的纠缠，而最近的邻居粒子之间的有限的，顺序的相互作用导致压缩的集体自旋。
英文摘要：
We study quantum states generated by a sequence of nearest neighbor bipartite entangling operations along a one-dimensional chain of spin qubits. After a single sweep of such a set of operations, the system is effectively described by a matrix product state (MPS) with the same virtual dimension as the spin qubits. We employ the explicit form of the MPS to calculate expectation values and two-site correlation functions of local observables, and we use the results to study fluctuations of collective observables. Through the so-called macroscopicity and the squeezing properties of the collective spin variables they witness the quantum correlations and multi-particle entanglement within the chain. Macroscopicity only occurs over the entire chain if the nearest neighbor interaction is maximally entangling, while a finite, sequential interaction between nearest neighbor particles leads to squeezing of the collective spin.
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