Markovian entanglement dynamics under locally scrambled quantum evolution
Wei-Ting Kuo, Ahmed A. Akhtar, Daniel P. Arovas, Yi‐Zhuang You
Abstract
There has been much recent interest in understanding entanglement dynamics and operator spreading in the Haar random circuit and Brownian circuit, which can be unified as locally scrambled quantum evolutions. Here, the authors prove that the entanglement dynamics for such quantum dynamics is Markovian and introduce the entanglement feature formulation to describe entanglement dynamics with an imaginary-time Schr\"odinger equation. This work opens up new possibilities to apply the quantum many-body physics techniques to tackle the entanglement dynamics problem.
Topics & Concepts
Quantum entanglementStatistical physicsMarkov processDynamics (music)QuantumQuantum dynamicsOperator (biology)Squashed entanglementQuantum mechanicsPhysicsMathematicsChemistryGeneRepressorTranscription factorBiochemistryStatisticsAcousticsQuantum many-body systemsQuantum Computing Algorithms and ArchitectureQuantum Information and Cryptography