Maximally Entangled Squeezed Spin Coherent States and Entropic Uncertainty Relation

Here, we explore the temporal dynamics of the quantum memory-assisted entropic uncertainty relation (QMA-EUR) and entanglement for particular states of a two-qubit system in the context of squeezed spin coherent states (SSCSs). For this reason, we examine the effect of spin squeezing, which is implemented by two kinds of one-axis twisting and two-axis counter-twisting nonlinearity Hamiltonians in the presence of an external field. Without loss of generality, we employ three types of maximally entangled states for a two-particle system, study the effect of squeezing, and determine the necessary conditions for the general squeezed two-qubit state that simultaneously provide the maximum amount of entanglement and tightness of the QMA-EUR. Finally, we introduce a new class of entangling operators and investigate the controlling role of the field in optimizing the QMA-EUR and entanglement.