Perturbation theory of von Neumann entropy

doi:10.1088/1674-1056/19/4/040308

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40308-040308.doi: 10.1088/1674-1056/19/4/040308

Perturbation theory of von Neumann entropy

陈小余

College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China

收稿日期:2009-04-11 修回日期:2009-06-05 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~60972071), Science and Technology Program of Zhejiang Province, China (Grant No.~2009C31060).

Perturbation theory of von Neumann entropy

Chen Xiao-Yu(陈小余)^†

College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China

Received:2009-04-11 Revised:2009-06-05 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~60972071), Science and Technology Program of Zhejiang Province, China (Grant No.~2009C31060).

摘要/Abstract

摘要： In quantum information theory, von Neumann entropy plays an important role; it is related to quantum channel capacities. Only for a few states can one obtain their entropies. In a continuous variable system, numeric evaluation of entropy is not easy due to infinite dimensions. We develop the perturbation theory for systematically calculating von Neumann entropy of a non-degenerate system as well as a degenerate system.

Abstract: In quantum information theory, von Neumann entropy plays an important role; it is related to quantum channel capacities. Only for a few states can one obtain their entropies. In a continuous variable system, numeric evaluation of entropy is not easy due to infinite dimensions. We develop the perturbation theory for systematically calculating von Neumann entropy of a non-degenerate system as well as a degenerate system.

Key words: von Neumann entropy, perturbation, degenerate state

中图分类号: (Algebraic methods)

03.65.Fd

03.67.-a (Quantum information) 02.10.Yn (Matrix theory) 02.10.Ud (Linear algebra) 02.30.Tb (Operator theory)

陈小余. Perturbation theory of von Neumann entropy[J]. 中国物理B, 2010, 19(4): 40308-040308.

Chen Xiao-Yu(陈小余). Perturbation theory of von Neumann entropy[J]. Chin. Phys. B, 2010, 19(4): 40308-040308.

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Perturbation theory of von Neumann entropy

Perturbation theory of von Neumann entropy

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