  The purpose of this letter is to explore the relation between gauge fields,
which are at the base of our understanding of fundamental interactions, and the
quantum entanglement. To this end, we investigate the case of ${\rm SU}(2)$
gauge fields. It is first argued that holonomies of the ${\rm SU}(2)$ gauge
fields are naturally associated with maximally entangled two-particle states.
Then, we provide some evidence that the notion of such gauge fields can be
deduced from the transformation properties of maximally entangled two-particle
states. This new insight unveils a possible relation between gauge fields and
spin systems, as well as contributes to understanding of the relation between
tensor networks (such as MERA) and spin network states considered in loop
quantum gravity. In consequence, our results turn out to be relevant in the
context of the emerging Entanglement/Gravity duality.
