CAJ | 학술논문

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.
제출료일개재고유도양자계통중진행양자편마화해마적이론방안.해방안상세연구료순태정황하2양자비특계통화임의유2양자계통이급다유다양자계통중편마해마과정,분별구조료재저사계통중적측량기시급상응적요정산부,저사요정산부가이보증최대개솔지실현성공해마.동시본방안환이용파혼태등효위계통여배경적규전순태판법,파해편마화해마과정추엄도처우혼태적양자계통.
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.