大学物理 ›› 2019, Vol. 38 ›› Issue (6): 1-3.doi: 10.16854 /j.cnki.1000-0712.180629

• 教学研究 •    下一篇

数学量子位与物理量子位的差别

刘逸文,雷奕安   

  1. 北京大学物理学院,北京100871
  • 收稿日期:2018-11-07 修回日期:2018-11-14 出版日期:2019-06-20 发布日期:2019-06-28
  • 通讯作者: 雷奕安,E-mail: yalei@ pku.edu.cn
  • 作者简介:刘逸文( 1993 -) ,男,河南信阳人,北京大学物理学院研究生,硕士,主要从事量子纠缠与量子信息

The differences between the mathematical and the physical definition of quantum bit

LIU Yi-wen,LEI Yi-an   

  1. School of Physics,Peking University,Beijing 100871,China
  • Received:2018-11-07 Revised:2018-11-14 Online:2019-06-20 Published:2019-06-28

摘要: 本文讨论了量子位概念的数学定义和物理实现,指出了两者之间的差别.我们发现,量子信息研究中采用的量子位

概念是数学的,不是物理的,而物理的量子位在应用中存在本质性的概念问题,包括无法读写,需要无穷大的精度,与经典熵

的定义矛盾,等等.

关键词: 量子位, 量子信息, 测量

Abstract: We discuss the mathematical definition of quantum bit ( qubit) and its physical properties and find

discrepancies between them. In the context of quantum information,the definition of quantum bit is purely mathematical,

which greatly differs from its physical properties. Major differences include: the readability and writeability

of the qubit; the requirement of inifinit procision in typical algrorithms such as Shor’s algorithm; voilation of

classic entropy definition,etc

Key words: qubits, quantum information, measurement