Small, Highly Accurate Quantum Processor for Intermediate-Depth Quantum Simulations

Abstract

Analog quantum simulation is widely considered a step on the path to fault tolerant quantum computation. If based on current noisy hardware, the accuracy of an analog simulator will degrade after just a few time steps, especially when simulating complex systems that are likely to exhibit quantum chaos. Here we describe a small, highly accurate quantum simulator and its use to run high fidelity simulations of three different model Hamiltonians for $>100$ time steps. While not scalable to exponentially large Hilbert spaces, this platform provides the accuracy and programmability required for systematic exploration of the interplay between dynamics, imperfections, and accuracy in quantum simulation.

Published version. 10 pages, 5 figures, including Supplemental Material

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Cited by in corpus (18)

• Digital Quantum Simulation of Non-Equilibrium Quantum Many-Body Systems
• Universally Robust Quantum Control
• Qudit entanglers using quantum optimal control
• Nonlinear dynamics and quantum chaos of a family of kicked $p$-spin models
• Scrambling and quantum chaos indicators from long-time properties of operator distributions
• Quantifying the sensitivity to errors in analog quantum simulation
• The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Practical verification protocols for analog quantum simulators
• Parameterized Hamiltonian simulation using quantum optimal control
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor
• Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
• Composable Programming of Hybrid Workflows for Quantum Simulation
• Impact of dynamics, entanglement, and Markovian noise on the fidelity of few-qubit digital quantum simulation
• Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms
• Robust Control and Entanglement of Qudits in Neutral Atom Arrays
• Loschmidt echo and scrambling of systematic errors in tomography -- a quantum signature of chaos
• QuaSiMo: A Composable Library to Program Hybrid Workflows for Quantum Simulation