Note on Generalized Quantum Gates and Quantum Operations
Note on Generalized Quantum Gates and Quantum Operations
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DOI：
10.1007/s10773-008-9659-4
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发表时间：
2008-01
影响因子：
1.4
通讯作者：
Yue-qing Wang;H. Du;Yan-Ni Dou
中科院分区：
文献类型：
--
作者：
Yue-qing Wang;H. Du;Yan-Ni Dou
Recently, Gudder proved that the set of all generalized quantum gates coincides the set of all contractions in a finite-dimensional Hilbert space (S. Gudder, Int. J. Theor. Phys. 47:268–279, 2008). In this note, we proved that the set of all generalized quantum gates is a proper subset of the set of all contractions on an infinite dimensional separable Hilbert space ℋ. Meanwhile, we proved that the quantum operation deduced by an isometry is an extreme point of the set of all quantum operations on ℋ.
