טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
Ph.D Thesis
Ph.D StudentSalman Tamer
SubjectQuantum Neural Computation and Associative Memory
DepartmentDepartment of Computer Science
Supervisor Professor Emeritus Yoram Baram
Full Thesis textFull thesis text - English Version


Abstract

This thesis presents quantum analogues of artificial neural networks. We analyze and compare their performance to known classical and previously proposed quantum models. First we propose a model for associative memory based on a modification of Grover’s quantum search algorithm and prove that the capacity of the model is exponential in the number of bits. We present algorithms for pattern completion and correction and prove that the model does not suffer from spurious memories and has a controllable basin of attraction. Then we define models of quantum neurons and devise an algorithm for Hebbian learning through quantum gates. We show that the algorithm implements probabilistic learning.