Associative memory on qutrits by means of quantum annealing

TL;DR

This paper explores using three-level quantum systems, qutrits, for associative memory, demonstrating increased capacity through adiabatic Hamiltonian variation and auxiliary Hamiltonians in simulations.

Contribution

It introduces a method for implementing associative memory on qutrits using adiabatic quantum evolution and auxiliary Hamiltonians, showing improved capacity over qubits.

Findings

Memory capacity increases with qutrits compared to qubits

Auxiliary Hamiltonian helps equalize superposition probabilities

Simulations confirm feasibility of qutrit-based associative memory

Abstract

We study the functioning of associative memory on three-level quantum elements, qutrites represented by spins with S = 1. The recording of patterns into the superposition of quantum states and their recall are carried out by adiabatic variation of the Hamiltonian with time. To equalize the probabilities of finding the system in different states of superposition, an auxiliary Hamiltonian is proposed, which is turned off at the end of evolution. Simulations were performed on two and three qutrits and an increase in the memory capacity after replacing qubits with qutrits is shown.