Quantum simulations of complex systems
arXiv:2505.20442 · doi:10.1007/s40766-025-00069-0
Abstract
In this review we give a brief overview of quantum simulation as applied to the study of complex systems. In particular, we cover the basic ideas of quantum simulation, neuromorphic computation, the Sachdev-Ye-Kitaev model, as well as applications to quantum batteries.
43 pages, 9 figures. Version accepted for publication
References in corpus (66)
- Quantum Computing
- Quantum Simulation
- Area laws for the entanglement entropy - a review
- Quantum information with Rydberg atoms
- A bound on chaos
- A Quantum Engineer's Guide to Superconducting Qubits
- Superconducting Qubits: Current State of Play
- Trapped-Ion Quantum Computing: Progress and Challenges
- Universal computation by quantum walk
- Quantum information processing with superconducting circuits: a review
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Quantum Computational Supremacy
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Photonic quantum information processing: a review
- Extractable work from ensembles of quantum batteries. Entanglement helps
- Quantum Simulators: Architectures and Opportunities
- High-power collective charging of a solid-state quantum battery
- A Race Track Trapped-Ion Quantum Processor
- Entanglement Generation is Not Necessary for Optimal Work Extraction
- Quantum simulation and computing with Rydberg-interacting qubits
- Quantum Simulation for High Energy Physics
- Observation of topological phenomena in a programmable lattice of 1,800 qubits
- Quantum and classical correlations in waveguide lattices
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Can One Trust Quantum Simulators?
- Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
- Entanglement Percolation in Quantum Networks
- Colloquium: Quantum Batteries
- Bounds on the capacity and power of quantum batteries
- Numerical study of fermion and boson models with infinite-range random interactions
- Operator growth in the SYK model
- Quantum Annealing: An Overview
- Opportunities in Quantum Reservoir Computing and Extreme Learning Machines
- An introduction to the SYK model
- Digital Quantum Simulation of Minimal AdS/CFT
- Probing the dynamical phase transition with a superconducting quantum simulator
- Boosting computational power through spatial multiplexing in quantum reservoir computing
- Quantum complex networks
- Quantum Simulating Nature's Fundamental Fields
- Complex Networks from Classical to Quantum
- Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
- Many-Body Chaos in the Sachdev-Ye-Kitaev Model
- Ultra-stable charging of fast-scrambling SYK quantum batteries
- Quantum holography in a graphene flake with an irregular boundary
- Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
- Entanglement percolation in quantum complex networks
- Quantum Simulation of the Sachdev-Ye-Kitaev Model by Asymmetric Qubitization
- Information Processing Capacity of Spin-Based Quantum Reservoir Computing Systems
- Quantum batteries -- The future of energy storage?
- Efficiency of quantum versus classical annealing in non-convex learning problems
- Out-of-time-order Operators and the Butterfly Effect
- Optical lattice platform for the SYK model
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Potential and limitations of quantum extreme learning machines
- Complex quantum networks as structured environments: engineering and probing
- Experimental property-reconstruction in a photonic quantum extreme learning machine
- Quantum Analogue Computing
- Penning micro-trap for quantum computing
- Quantum simulation of non-Markovianity using the quantum Zeno effect
- Integrated Photonic Platforms for Quantum Technology: A Review
- Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
- State estimation with quantum extreme learning machines beyond the scrambling time
- Quantum Extreme Learning of molecular potential energy surfaces and force fields
- Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes
- Quantum simulation of the Sachdev-Ye-Kitaev model using time-dependent disorder in optical cavities