14 papers
Solvable Quantum Circuits with non-Markovian Influence Matrices
Samuel H. Pickering, Max McGinley, Bhavik Kumar +1
Influence matrices encode the action exerted on local subsystems by the rest of an extended quantum many-body system during their evolution. Thus, knowledge of the influence matrix…
Vanishing correlations in stochastic and bistochastic controlled circuits
Pavel Kos, Bruno Bertini, Tomaž Prosen
We study the dynamics of circuits composed of stochastic and bistochastic controlled gates. This type of dynamics arises from quantum circuits with random controlled gates, as well…
Non-Equilibrium Quantum Many-Body Physics with Quantum Circuits
Bruno Bertini
These are the notes for the 4.5-hour course with the same title that I delivered in August 2025 at the Les Houches summer school ``Exact Solvability and Quantum Information''. In t…
Initial State Memory in Finite Random Brickwork Circuits
Jakob Bannister, Katja Klobas, Colin Rylands +1
We ask under what conditions a finite brickwork circuit of random gates retains local information about the initial state. To answer this question we measure the averaged Frobenius…
Entanglement dynamics and Page curves in random permutation circuits
Dávid Szász-Schagrin, Michele Mazzoni, Bruno Bertini +2
The characterization of ensembles of many-qubit random states and their realization via quantum circuits are crucial tasks in quantum-information theory. In this work, we study the…
Random Permutation Circuits Beyond Qubits are Quantum Chaotic
Bruno Bertini, Katja Klobas, Pavel Kos +1
Random permutation circuits were recently introduced as minimal models for local many-body dynamics that can be interpreted both as classical and quantum. Standard dynamical comple…