Holographic dynamics simulations with a trapped ion quantum computer

Abstract

Quantum computers have the potential to efficiently simulate the dynamics of many interacting quantum particles, a classically intractable task of central importance to fields ranging from chemistry to high-energy physics. However, precision and memory limitations of existing hardware severely limit the size and complexity of models that can be simulated with conventional methods. Here, we demonstrate and benchmark a new scalable quantum simulation paradigm--holographic quantum dynamics simulation--which uses efficient quantum data compression afforded by quantum tensor networks along with opportunistic mid-circuit measurement and qubit reuse to simulate physical systems that have far more quantum degrees of freedom than can be captured by the available number of qubits. Using a Honeywell trapped ion quantum processor, we simulate the non-integrable (chaotic) dynamics of the self-dual kicked Ising model starting from an entangled state of $32$ spins using at most $9$ trapped ion qubits, obtaining excellent quantitative agreement when benchmarking against dynamics computed directly in the thermodynamic limit via recently developed exact analytical techniques. These results suggest that quantum tensor network methods, together with state-of-the-art quantum processor capabilities, enable a viable path to practical quantum advantage in the near term.

arXiv comment8 pages, 6 figures, 1 table

References in corpus (30)

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Many-body localization, thermalization, and entanglement
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Demonstration of the trapped-ion quantum-CCD computer architecture
• Toward the first quantum simulation with quantum speedup
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
• Sequential generation of entangled multi-qubit states
• Towards Quantum Machine Learning with Tensor Networks
• Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
• Exact dynamics in dual-unitary quantum circuits
• Real- and imaginary-time evolution with compressed quantum circuits
• Unitary circuits of finite depth and infinite width from quantum channels
• Doubling the size of quantum simulators by entanglement forging
• Variational Quantum Eigensolver with Fewer Qubits
• Isometric Tensor Network States in Two Dimensions
• Ergodic and non-ergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension
• Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits
• Crossing a topological phase transition with a quantum computer
• Parallel Quantum Simulation of Large Systems on Small Quantum Computers
• Particle-Time Duality in the Kicked Ising Chain II: Applications to the Spectrum
• Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
• Maximum velocity quantum circuits
• Holographic quantum algorithms for simulating correlated spin systems
• Quantum simulation with hybrid tensor networks
• Scaling of variational quantum circuit depth for condensed matter systems
• Deterministic reordering of 40Ca+ ions in a linear segmented Paul trap
• Fast transport of mixed-species ion chains within a Paul trap

Cited by in corpus (7)

• Barren plateaus in quantum tensor network optimization
• Characterizing a non-equilibrium phase transition on a quantum computer
• Circuits of space and time quantum channels
• Holographic simulation of correlated electrons on a trapped ion quantum processor
• Ternary unitary quantum lattice models and circuits in $2+1$ dimensions
• Quantum-classical eigensolver using multiscale entanglement renormalization
• Qubit recycling and the path counting problem