无错区分两个任意分布的未知纬线态  

Programmable unambiguous discriminator between two arbitrarily distributed unknown latitudinal states

作　　者：吕彦霖 祝凤荣[1] Lü Yan-Lin;ZHU Feng-Rong(School of Physical Science and Technology,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学物理科学与技术学院,成都611756

出　　处：《四川大学学报（自然科学版）》2021年第3期111-116,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11947404);四川省科技计划项目(20SYSX0294)。

摘　　要：量子态分辨在量子信息和量子计算领域中是一个非常重要的问题.在量子通讯理论和实验的研究过程中,经常要用到赤道态,它是一种比较特殊的纬线态.本文主要利用Neumark定理和可编程量子态分辨器的光学实现方法来研究如何无错区分两个任意分布的未知纬线态,推导出了测量算符和对应的成功概率,并且发现本文得到的测量算符与无错区分均匀分布纬线态得到的最优测量算符一致.这些结果对实验室中构造可编程量子分辨器具有重要参考意义.Quantum state discrimination is a very important problem in the field of quantum information and quantum computation.Usually,the equatorial state,a special latitudinal state,is often used to study quantum communication both from theoretical and experimental perspectives.In this paper,we mainly use Neumark's theorem and the optical realization of the programmable quantum state discriminator to investigate how to unambiguously discriminate two unknown latitudinal states of arbitrary distribution.The detection operators and the successful probability are derived.Furthermore,we find that the detection operators obtained in this paper are the same as the optimal detection operators obtained from the unambiguous discrimination of two unknown latitudinal states of uniform distribution.These results have important reference significance for the construction of the programmable quantum discriminator in laboratory.

关 键 词：量子态分辨 光学实现 最优无错区分 纬线态 

分 类 号：O413.1[理学—理论物理]