12 citations · 41 across the 16 of their papers we have counts for
16 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…
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…
Asymptotically Solvable Quantum Circuits
Samuel H. Pickering, Bruno Bertini
The discovery of chaotic quantum circuits with (partially) solvable dynamics has played a key role in our understanding of non-equilibrium quantum matter and, at the same time, has…
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…
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…
Exact large deviations and emergent long-range correlations in sequential quantum East circuits
Jimin Li, Bruno Bertini, Juan P. Garrahan +1
Exploiting quantum measurements is a promising route for preparation of correlated quantum states. We use methods from large deviation theory to solve this problem exactly for a sp…
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…
Translation symmetry restoration in integrable systems: the noninteracting case
Molly Gibbins, Adam Gammon-Smith, Bruno Bertini
The study of symmetry restoration has recently emerged as a fruitful means to extract high-level information on the relaxation of quantum many-body systems. However, while the rest…
Exactly solvable many-body dynamics from space-time duality
Bruno Bertini, Pieter W. Claeys, Tomaž Prosen
Recent years have seen significant advances, both theoretical and experimental, in our understanding of quantum many-body dynamics. Given this problem's high complexity, it is surp…
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…
Quantum State Designs from Minimally Random Quantum Circuits
Jonathon Riddell, Katja Klobas, Bruno Bertini
Random many-body states are both a useful tool to model certain physical systems and an important asset for quantum computation. Realising them, however, generally requires an expo…
Fluctuations of stochastic charged cellular automata
Žiga Krajnik, Katja Klobas, Bruno Bertini +1
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon c…
Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results
Alessandro Foligno, Bruno Bertini
The growth of the entanglement between two disjoint intervals and its complement after a quantum quench is regarded as a dynamical chaos indicator. Namely, it is expected to show q…
Efficient post-selection in light-cone correlations of monitored quantum circuits
Jimin Li, Robert L. Jack, Bruno Bertini +1
We consider how to target evolution conditioned on atypical measurement outcomes in monitored quantum circuits, i.e., the post-selection problem. We show that for a simple class of…
Rationally independent free fermions with local hopping
Jonathon Riddell, Bruno Bertini
Rationally independent free fermions are those where sums of single-particle energies multiplied by arbitrary rational coefficients vanish only if the coefficients are all zero. Th…
Structural Stability Hypothesis of Dual Unitary Quantum Chaos
Jonathon Riddell, Curt von Keyserlingk, Tomaž Prosen +1
Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic system…