In quantum information technology,crucial information is regularly encoded in different quantum states.To extract information,the identification of one state from the others is inevitable.However,if the states are non-orthogonal and unknown,this task will become awesomely tricky,especially when our resources are also limited.Here,we introduce the quantum stochastic neural network(QSNN),and show its capability to accomplish the binary discrimination of quantum states.After a handful of optimizing iterations,the QSNN achieves a success probability close to the theoretical optimum,no matter whether the states are pure or mixed.Other than binary discrimination,the QSNN is also applied to classify an unknown set of states into two types:entangled ones and separable ones.After training with four samples,it can classify a number of states with acceptable accuracy.Our results suggest that the QSNN has the great potential to process unknown quantum states in quantum information.

Lu-Ji Wang;Jia-Yi Lin;Shengjun Wu

Institute for Brain Sciences and Kuang Yarning Honors School,Nanjing University,Nanjing 210023,China;School of Physics,Nanjing University,Nanjing 210093,China

中国物理快报（英文版）

[1]Lu-Ji Wang;Jia-Yi Lin;Shengjun Wu-.State Classification via a Random-Walk-Based Quantum Neural Network)[J].中国物理快报（英文版）,2022(05):4-19

awesomely,QSNN

State,Classification,via,Random,Walk,Based,Quantum,Neural,Network,In,quantum,information,technology,crucial,regularly,encoded,different,states,To,extract,identification,from,others,inevitable,However,are,orthogonal,unknown,this,task,will,become,tricky,especially,when,resources,also,limited,Here,introduce,stochastic,neural,network,show,its,capability,accomplish,binary,discrimination,After,handful,optimizing,iterations,achieves,success,probability,close,theoretical,optimum,matter,whether,pure,mixed,Other,than,applied,classify,set,into,types,entangled,ones,separable,training,four,samples,can,number,acceptable,accuracy,Our,results,suggest,that,great,potential,process

0.598528