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Corpus ID: 247839171

Entanglement dynamics of random quantum channels

@inproceedings{Li2022EntanglementDO,
title={Entanglement dynamics of random quantum channels},
author={Zhi Li and Shengqi Sang and Timothy H. Hsieh},
year={2022}
}

The process by which open quantum systems thermalize with an environment is both of funda-mental interest and relevant to noisy quantum devices. As a minimal model of this process, we consider a qudit chain evolving under local random unitaries and local depolarization channels. After mapping to a statistical mechanics model, the depolarization acts like a symmetry-breaking ﬁeld, and we argue that it causes the system to thermalize within a time scale independent of system size. We show that… Expand

Quantum circuits — built from local unitary gates and local measurements — are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena… Expand

We map the dynamics of entanglement in random unitary circuits, with finite on-site Hilbert space dimension $q$, to an effective classical statistical mechanics. We demonstrate explicitly the… Expand

Let |Psi> be an arbitrary stabilizer state distributed between three remote parties, such that each party holds several qubits. Let S be a stabilizer group of |Psi>. We show that |Psi> can be… Expand

We revisit the work of the first named author and using simpler algebraic arguments we calculate integrals of polynomial functions with respect to the Haar measure on the unitary group U(d). The… Expand