Quantum Enhanced Correlation Matrix Memories via States Orthogonalisation

TL;DR

This paper presents a quantum memory enhancement technique using an orthogonalisation process, improving quantum correlation matrix memories and enabling diverse applications like steganography and image processing.

Contribution

Introduction of a Quantum Orthogonalisation Process (QOP) to convert non-orthonormal quantum bases into orthonormal bases, enhancing QCMM performance and broadening its application scope.

Findings

QOP improves QCMM performance.

EQCMM is easy to implement in firmware.

Potential applications include steganography and image processing.

Abstract

This paper introduces a Quantum Correlation Matrix Memory (QCMM) and Enhanced QCMM (EQCMM), which are useful to work with quantum memories. A version of classical Gram-Schmidt orthogonalisation process in Dirac notation (called Quantum Orthogonalisation Process: QOP) is presented to convert a non-orthonormal quantum basis, i.e., a set of non-orthonormal quantum vectors (called qudits) to an orthonormal quantum basis, i.e., a set of orthonormal quantum qudits. This work shows that it is possible to improve the performance of QCMM thanks QOP algorithm. Besides, the EQCMM algorithm has a lot of additional fields of applica-tions, e.g.: Steganography, as a replacement Hopfield Net-works, Bi-level image processing, etc. Finally, it is important to mention that the EQCMM is an extremely easy to implement in any firmware.