Abstract
We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator state that corresponds to this quantum circuit. The time-dependence of the OEE exhibits a new dynamical behavior of operator entanglement, namely an additional fractional coefficient that accompanies the linear time growth of the OEE. For a holographic system, this is equivalent to an additional fractional coefficient that modifies the linear growth rate of the wormhole volume. The time-dependence of the BOMI shows that the projective measurement may destroy the non-local correlations in this dual state. We also propose a gravity dual as well as a line-tension picture, which is an effective model, that describe this strongly scrambling quantum circuit.
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Goto, K., Nozaki, M., Tamaoka, K. et al. Entanglement dynamics of the non-unitary holographic channel. J. High Energ. Phys. 2023, 101 (2023). https://doi.org/10.1007/JHEP03(2023)101
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DOI: https://doi.org/10.1007/JHEP03(2023)101