Applications of Singh-Rajput Mes in Recall Operations of Quantum Associative Memory for a Two- Qubit System

Abstract

Recall operations of quantum associative memory (QuAM) have been conducted separately through evolutionary as well as non-evolutionary processes in terms of unitary and non-unitary operators respectively by separately choosing our recently derived maximally entangled states (Singh-Rajput MES) and Bell's MES as memory states for various queries and it has been shown that in each case the choices of Singh-Rajput MES as valid memory states are much more suitable than those of Bell's MES. it has been demonstrated that in both the types of recall processes the first and the fourth states of Singh-Rajput MES are most suitable choices as memory states for the queries '11' and '00' respectively while none of the Bell's MES is a suitable choice as valid memory state in these recall processes. It has been demonstrated that all the four states of Singh-Rajput MES are suitable choice as valid memory states for the queries '1?', '?1', '?0' and '0?' while none of the Bell's MES is suitable choice as the valid memory state for these queries also.

Quantum Encoding and Entanglement in Terms of Phase Operators Associated with Harmonic Oscillator

“…Generally, the topological phase consists of a dynamical phase and a geometric phase. For a maximally entangle state (MES) [17][18][19], the dynamical phase is zero and thus the acquired topological phase is identical to the geometric phase. In other words the geometric phase for a cyclic evolution of a maximally entangled state (MES) is of topological origin.…”