We extend the quantum circuit model so that the wiring between gates is soft-coded within registers inside the gates. The addresses in these registers can be manipulated and put into superpositions. This aims at capturing the physically implementable indefinite causal orders, as well as making their geometrical layout explicit. We show how to implement the quantum switch and the polarizing beamsplitter within the model. One difficulty is that the actual names used as addresses should not matter beyond the wiring they describe, i.e. the allowed evolutions should commute with renamings. Yet evolutions may act nontrivially upon these names. Our main technical contribution and a byproduct of this paper is a full characterization of nameblind matrices.