Note on Generalized Quantum Gates and Quantum Operations

被引：0

作者：

Yue-Qing Wang

Hong-Ke Du

Yan-Ni Dou

机构：

[1] Shaanxi Normal University,College of Mathematics and Information Science

来源：

International Journal of Theoretical Physics | 2008年 / 47卷

关键词：

Generalized quantum gate; Duality quantum computer; Extreme point of quantum operations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：2268 / 2278

页数：10

共 5 条

[1]

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[2]

Singh J.(2007)Mathematical theory of duality quantum computers Quantum Inf. Process. 6 37-48

[3]

Gudder S.(2008)Duality quantum computers and quantum operations Int. J. Math. Phys. 47 268-279

[4]

Gudder S.(2007)Mathematical theory of the duality computer in the density matrix formalism Quantum Inf. Process. 6 49-54

[5]

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