Quantum Enhanced Correlation Matrix Memories via States Orthogonalisation

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.