Recognizing the Pattern of Binary Hermitian Matrices by a Quantum Circuit

摘要

The chapter contains a description of quantum circuit for pattern recognition. The task is to distinguish Hermitian and Non-Hermitian matrices. The quantum circuit is constructed to accumulate the elements of a learning set and with use of Hamming distance and some Hamiltonian designed for so-called quantum summing operation it is able to distinguish if a tested element fits to the pattern from the learning set. The efficiency of the this solution is shown in a computational experiment.