Adaptive quantum circuits, in which gates are conditioned on mid-circuit measurement results, are emerging as enables for expanding the capabilities of NISQ processors beyond what is possible today. In particular, they allow for efficient preparation of topologically-ordered and non-abelian states of matter [1] and for observing measurement induced phase transitions [2]. The canonical example of an adaptive circuit is state teleportation, which serves both
as a fundamental building block in measurement-based quantum computation schemes as well as allows for quantum state routing in constant-depth between distant qubits [3]. In this work, we demonstrate for the first
time teleportation-based routing across a chain of 7 superconducting qubits. This requires both ultra-low latency real-time feedback with logical classical operations within the coherence time, as well as the
generation of a highly entangled state between all qubits. This work paves the way for the efficient simulation of exotic states of matter on NISQ processors by greatly expanding the capabilities of present-day superconducting quantum processors.

[1] https://arxiv.org/pdf/2302.01917
[2] https://arxiv.org/abs/2303.04792
[3] https://arxiv.org/abs/2204.0418