All Outputs (8)

Combining Reinforcement Learning and Tensor Networks, with an Application to Dynamical Large Deviations (2024)
Journal Article
Gillman, E., Rose, D. C., & Garrahan, J. P. (in press). Combining Reinforcement Learning and Tensor Networks, with an Application to Dynamical Large Deviations. Physical Review Letters,

We present a framework to integrate tensor network (TN) methods with reinforcement learning (RL) for solving dynamical optimisation tasks. We consider the RL actor-critic method, a model-free approach for solving RL problems, and introduce TNs as the... Read More about Combining Reinforcement Learning and Tensor Networks, with an Application to Dynamical Large Deviations.

Using (1+1)D quantum cellular automata for exploring collective effects in large-scale quantum neural networks (2023)
Journal Article
Gillman, E., Carollo, F., & Lesanovsky, I. (2023). Using (1+1)D quantum cellular automata for exploring collective effects in large-scale quantum neural networks. Physical Review E, 107(2), Article L022102. https://doi.org/10.1103/PhysRevE.107.L022102

Central to the field of quantum machine learning is the design of quantum perceptrons and neural network architectures. A key question in this regard is the impact of quantum effects on the way such models process information. Here, we establish a co... Read More about Using (1+1)D quantum cellular automata for exploring collective effects in large-scale quantum neural networks.

Asynchronism and nonequilibrium phase transitions in (1+1) -dimensional quantum cellular automata (2022)
Journal Article
Gillman, E., Carollo, F., & Lesanovsky, I. (2022). Asynchronism and nonequilibrium phase transitions in (1+1) -dimensional quantum cellular automata. Physical Review E, 106(3), Article L032103. https://doi.org/10.1103/PhysRevE.106.L032103

Probabilistic cellular automata provide a simple framework for exploring classical nonequilibrium processes. Recently, quantum cellular automata have been proposed that rely on the propagation of a one-dimensional quantum state along a fictitious dis... Read More about Asynchronism and nonequilibrium phase transitions in (1+1) -dimensional quantum cellular automata.

Quantum and Classical Temporal Correlations in (1+1)D Quantum Cellular Automata (2021)
Journal Article
Gillman, E., Carollo, F., & Lesanovsky, I. (2021). Quantum and Classical Temporal Correlations in (1+1)D Quantum Cellular Automata. Physical Review Letters, 127(23), Article 230502. https://doi.org/10.1103/PhysRevLett.127.230502

We employ (1 + 1)-dimensional quantum cellular automata to study the evolution of entangle-ment and coherence near criticality in quantum systems that display non-equilibrium steady-state phase transitions. This construction permits direct access to... Read More about Quantum and Classical Temporal Correlations in (1+1)D Quantum Cellular Automata.

Numerical simulation of quantum nonequilibrium phase transitions without finite-size effects (2021)
Journal Article
Gillman, E., Carollo, F., & Lesanovsky, I. (2021). Numerical simulation of quantum nonequilibrium phase transitions without finite-size effects. Physical Review A, 103(4), Article L040201. https://doi.org/10.1103/physreva.103.l040201

Classical (1 + 1)D cellular automata, as for instance Domany-Kinzel cellular automata, are paradigmatic systems for the study of non-equilibrium phenomena. Such systems evolve in discrete time-steps, and are thus free of time-discretisation errors. M... Read More about Numerical simulation of quantum nonequilibrium phase transitions without finite-size effects.

Nonequilibrium Phase Transitions in (1+1)-Dimensional Quantum Cellular Automata with Controllable Quantum Correlations (2020)
Journal Article
Gillman, E., Carollo, F., & Lesanovsky, I. (2020). Nonequilibrium Phase Transitions in (1+1)-Dimensional Quantum Cellular Automata with Controllable Quantum Correlations. Physical Review Letters, 125(10), Article 100403. https://doi.org/10.1103/physrevlett.125.100403

Motivated by recent progress in the experimental development of quantum simulators based on Rydberg atoms, we introduce and investigate the dynamics of a class of (1+1)-dimensional quantum cellular automata. These non-equilibrium many-body models, wh... Read More about Nonequilibrium Phase Transitions in (1+1)-Dimensional Quantum Cellular Automata with Controllable Quantum Correlations.

Numerical Simulation of Critical Dissipative Non-Equilibrium Quantum Systems with an Absorbing State (2019)
Journal Article
Gillman, E., Carollo, F., & Lesanovsky, I. (2019). Numerical Simulation of Critical Dissipative Non-Equilibrium Quantum Systems with an Absorbing State. New Journal of Physics, 21, Article 093064. https://doi.org/10.1088/1367-2630/ab43b0

The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to cosmology. For unitary systems, tensor network methods have proved succ... Read More about Numerical Simulation of Critical Dissipative Non-Equilibrium Quantum Systems with an Absorbing State.

Critical behavior of the quantum contact process in one dimension (2019)
Journal Article
Carollo, F., Gillman, E., Weimer, H., & Lesanovsky, I. (2019). Critical behavior of the quantum contact process in one dimension. Physical Review Letters, 123(10), https://doi.org/10.1103/PhysRevLett.123.100604

The contact process is a paradigmatic classical stochastic system displaying critical behavior even in one dimension. It features a non-equilibrium phase transition into an absorbing state that has been widely investigated and shown to belong to the... Read More about Critical behavior of the quantum contact process in one dimension.