Jedediah Pixley, Rutgers University

Abstract

Chaotic evolution, the exponential sensitivity to initial conditions, underpins a great deal of everyday phenomena. In certain settings, it is possible to control the chaotic evolution by pushing the system towards an unstable fixed point of the dynamics, which drives the system through an absorbing state transition. Recent efforts have shown how to embed this dynamics into a quantum many body system, which requires using measurements and feedback to design the control operation. In the quantum setting this drives a measurement induced phase transition that may or may not coincide with the absorbing state transition depending on the structure of the feedback operation. We will discuss the current theoretical understanding of feedback driven transitions in quantum many-body systems and will present data on realizing this system on IBM’s superconducing quantum processor with over 100 qubits.