  Spin-glass (SG) is a fascinating system that has garnered significant
attention due to its intriguing properties and implications for various
research fields. One of the key characteristics of spin glasses is that they
contain random disorder, which leads to many possible states of the system
occurring with very close probabilities. We explore the concept of spin-glass
superposition states (SSs), which are equiprobable SSs of possible electronic
configurations. Using the Edward-Anderson (EA) type SG order parameter $q_{EA}$
and magnetization, we demonstrate that these SSs can be classified based on
their contribution to distinguishing magnetic order (disorder), such as SG,
(anti)ferromagnetic (FM), and paramagnetic (PM) phases. We also generalize
these superposition states based on the system size and investigate the
entanglement of these phase-based SSs using the negativity measure. We show
that the SG order parameter can be utilized to determine the entanglement of
magnetically ordered (disordered) phases, or vice versa, with negativity
signifying magnetic order. Our findings provide further insight into the nature
of quantum SSs and their relevance to SGs and quantum magnets. They have
implications for various fields, including condensed matter physics, where SGs
are a prototypical example of disordered systems. They are also relevant for
other fields, such as neural networks, optimization problems, and information
storage, where complex systems with random disorder behavior are greatly
interested. Overall, our study provides a deeper understanding of the behavior
of SGs and the nature of quantum SSs, with potential applications in various
fields.
