Entanglement Dynamics of the Non-Unitary Holographic Channel

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.

30 pages + appendices, 12 figures

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Cited by in corpus (7)

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• Improving parameters estimation in Gaussian channels using quantum coherence
• Holographic Weak Measurement
• Subsystem Complexity and Measurements in Holography
• Holographic entanglement entropy for relativistic hydrodynamic flows
• Logarithmic growth of operator entanglement in a clean non-integrable circuit