Quantized memory of measurement records near the light cone of quantum circuits

arXiv:2611.13175v1 Announce Type: new Abstract: Quantum processors now measure qubits in the middle of a circuit, and the stream of outcomes is the raw output of error correction, measurement-based state preparation and monitored dynamics. For a scrambling circuit, predicting the statistics of this stream is as hard as simulating the processor, so there is no exact reference to check it against once the device outgrows classical simulation. We show that near the light cone the problem becomes exactly solvable, for any two-qubit gate.