Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition

We analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. We introduce a random unitary circuit model with intermittent projective measurements, in which the degree of information scrambling by the unitary and the rate of projective measurements are independently controlled. This model displays two stable phases, characterized by the volume-law and area-law scaling entanglement entropy in steady states. The transition between the two phases is understood from the point of view of quantum error correction: the chaotic unitary evolution protects quantum information from projective measurements that act as errors.…

• UD
  U.S. Department of Energy

  Award: DE-SC0019380
• UO
  University of California Berkeley
• AC
  Adolph C. and Mary Sprague Miller Institute for Basic Research in Science, University of California Berkeley
• HE
  H2020 European Research Council