We extend the circuit model of quantum comuptation 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 indefinite causal orders, as well as making their geometrical layout explicit. We show how to implement the quantum switch and the polarizing beam splitter within our model. One difficulty is that the names used as addresses should not matter beyond the wiring they describe, i.e. the evolution should commute with "renamings". Yet, the evolution may act nontrivially on these names. Our main technical contribution is a full characterization of such "nameblind" matrices.

中文翻译：

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可寻址量子门

我们扩展了量子计算的电路模型，以便门之间的布线在门内的寄存器内进行软编码。这些寄存器中的地址可以被操作和叠加。这旨在捕获不确定的因果顺序，并使它们的几何布局明确。我们展示了如何在我们的模型中实现量子开关和偏振分束器。一个困难是用作地址的名称不应超出它们所描述的接线范围，即演变应该与“重命名”相适应。然而，演变可能会对这些名称产生重大影响。我们的主要技术贡献是对此类“名称盲”矩阵的完整表征。