In non-relativistic quantum mechanics, measurements performed by separate
observers are modeled via tensor products. In Algebraic Quantum Field Theory,
though, local observables corresponding to space-like separated parties are
just required to commute. The problem of determining whether these two
definitions of "separation" lead to the same set of bipartite correlations is
known in non-locality as Tsirelson's problem. In this article, we prove that
the analog of Tsirelson's problem in steering scenarios is false. That is,
there exists a steering inequality that can be violated or not depending on how
we define space-like separation at the operator level.Comment: Some typos corrected. Short discussion about Algebraic Quantum Field
Theory. Modified introduction and conclusio
