of the quantum field in a state $\omega$. In this discussion we shall exclusively consider the massive quantum Dirac field in a smooth four-dimensional globally hyperbolic spacetime $({\mathcal{M}},g)$. Moreover, we shall only consider the Hadamard states of the Dirac field as this is a sufficient class of states to renormalise the stress energy density.

Typically, the bound $\mathcal{B}$ featuring in (\[wqwei\]) is a function of another state of the theory usually called a reference state; these QWEIs are known as *difference QWEIs*. Due to the work of Fewster and his collaborators [@dawson; @fewster; @fewster; @verch], difference QWEIs are known in great generality for the Dirac field in curved spacetime. (For a brief review of QWEIs for other fields the reader is directed to section one of [@fewster; @smith] and the references therein). Difference QWEIs have been instrumental in constraining the likelihood of designer spacetime manifestation; however, there exist spacetimes on which one does not know how to write down the closed form expressions for states necessary for the evaluation of the difference QWEI bound. Indeed, the warp drive is an example of a spacetime on which it is not currently known how to obtain explicit expressions for Hadamard states. Therefore, 