Order from chaos with adaptive circuits on quantum hardware

Adaptive monitored quantum circuits that perform reset via conditional feedback based on mid-circuit measurements allow for non-unitary evolution on programmable quantum computers. We study control induced phase transitions in a Bernoulli circuit using IBM's superconducting qubit based quantum computers. This map scrambles quantum information, while conditional feedback steers the dynamics toward an absorbing state. This competition drives a dynamical phase transition between chaotic to controlled dynamics, and quantum to classical dynamics. Applying up to nearly 5000 entangling gates and 5000 non-unitary mid-circuit operations on systems up to 100 qubits, we faithfully reproduce both the chaotic-to-controlled and quantum-to-classical phase transitions. Estimates of the universal critical properties are obtained to high accuracy and experimental results are benchmarked against various numerical simulations.