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Entanglement of truncated quantum states
Quantum Science and Technology ( IF 5.6 ) Pub Date : 2020-06-17 , DOI: 10.1088/2058-9565/ab9417
Giacomo Sorelli 1, 2, 3, 4 , Vyacheslav N Shatokhin 1 , Filippus S Roux 4, 5 , Andreas Buchleitner 1
Affiliation  

We investigate the impact of Hilbert-space truncation upon the entanglement of an initially maximally entangled m × m bipartite quantum state, after propagation under an entanglement-preserving n × n ( n ⩾ m ) unitary. Truncation—physically enforced, e.g., by a detector’s finite cross section—projects the state onto an s × s -dimensional subspace (3 ⩽ s ⩽ n ). For a random local unitary evolution, we obtain a simple analytical formula that expresses the truncation-induced entanglement loss as a function of n , m and s .

中文翻译:

截断量子态的纠缠

我们研究了希尔伯特空间截断对初始最大纠缠m×m二分量子态在纠缠保持n×n(n⩾m)ary传播后的影响。截断(例如通过检测器的有限横截面物理地强制执行)将状态投影到s×s维子空间(3 s s n)上。对于随机局部unit演化,我们获得一个简单的解析公式,该公式将截断引起的纠缠损失表示为n,m和s的函数。
更新日期:2020-06-18
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