高维量子系统中编码和解码方案(英文)  

Scheme of coding and decoding in high-dimensional quantum system

作　　者：梅迪[1,2] 李崇[1] 杨国辉[1] 宋鹤山[1] 

机构地区：[1]大连理工大学物理与光电工程学院,辽宁大连116024 [2]沈阳航空学院理学部,辽宁沈阳110136

出　　处：《大连理工大学学报》2009年第2期157-161,共5页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(108750201057501760703100)~~

摘　　要：提出了一个在高维度量子系统中进行量子编码和解码的理论方案.该方案详细研究了纯态情况下2量子比特系统和任意维2量子系统以及多维多量子系统中编码解码过程,分别构造了在这些系统中的测量基矢及相应的幺正算符,这些幺正算符可以保证最大概率地实现成功解码.同时本方案还利用把混态等效为系统与环境的纠缠纯态办法,把该编码和解码过程推广到处于混态的量子系统.Scheme of quantum coding and decoding in the case of high-dimensional quantum states is investigated. Based on the research on coding in pure state of bi-qubits, pure state of bi-qudit, pure state of multi-qubits, and pure state of multi-qudits are studied in detail, the measurement basis of these cases are constructed respectively and the forms of unitary operators corresponding to the basis are chosen. Under these operators the largest probability by tuning up the coefficients of the measurement can be gained. Utilizing the relation between mixture states and entangled pure states, this coding and decoding in high-dimensional quantum states scheme is also generalized into mixed state case.

关 键 词：高维量子系统 测量基 幺正算符 

分 类 号：O413.1[理学—理论物理]