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This paper illustrates a direct connection between quantum steering andnon-trivial preparation contextuality. In two party-two measurement perparty-two outcomes per measurement $(2-2-2)$ Bell scenario, any argument ofBell nonlocality is a proof of trivial preparation contextuality; however, theconverse may not hold. If one of the parties (say, Alice) performs themeasurements of more than two dichotomic observables, then it is possible tofind a set of non-trivial functional relations between Alice's observables. Weargue that the existence of a suitable set of such non-trivial relationsbetween Alice's observables may warrant the unsteerability of quantum states atthe end of another spatially separated party (say, Bob). Interestingly, suchconstraints can be read as non-trivial preparation non-contextualityassumptions in an ontological model. We further demonstrate two types of Bellinequalities that can be converted into linear steering inequalities using theaforementioned non-trivial conditions on Alice's observables. Such steeringinequalities can also be considered as non-trivial preparation noncontextualinequalities. Since the local bound of the family of Bell expression getsreduced under the additional non-trivial conditions, it provides a test ofquantum steering and nonlocality from the same family of Bell expressionsdepending upon its violation of the non-trivial preparation non-contextual orthe local bound, thereby establishing a direct connection between quantumsteering and non-trivial preparation contextuality.

Quantum violation of trivial and non-trivial preparation non-contextuality: Nonlocality and Steering