  Ground states of local Hamiltonians are known to obey the entanglement
entropy area law. While area law violation of a mild kind (logarithmic) is
commonly encountered, strong area-law violation (more than logarithmic) is
rare. In this paper, we study the long range quantum spin glass in one
dimension whose couplings are disordered and fall off with distance as a
power-law. We show that this system exhibits more than logarithmic area law
violation in its ground state. Strikingly this feature is found to be true even
in the short range regime in sharp contrast to the spinless long range
disordered fermionic model. This necessitates the study of large systems for
the quantum $XY$ spin glass model which is challenging since these numerical
methods depend on the validity of the area law. This situation lends itself
naturally for the exploration of a quantum simulation approach. We present a
proof-of-principle implementation of this non-trivially interacting spin model
using trapped ions and provide a detailed study of experimentally realistic
parameters.
