Quantum computation of stopping power for inertial fusion target design

Abstract

Stopping power is the rate at which a material absorbs the kinetic energy of a charged particle passing through it -- one of many properties needed over a wide range of thermodynamic conditions in modeling inertial fusion implosions. First-principles stopping calculations are classically challenging because they involve the dynamics of large electronic systems far from equilibrium, with accuracies that are particularly difficult to constrain and assess in the warm-dense conditions preceding ignition. Here, we describe a protocol for using a fault-tolerant quantum computer to calculate stopping power from a first-quantized representation of the electrons and projectile. Our approach builds upon the electronic structure block encodings of Su et al. [PRX Quantum 2, 040332 2021], adapting and optimizing those algorithms to estimate observables of interest from the non-Born-Oppenheimer dynamics of multiple particle species at finite temperature. Ultimately, we report logical qubit requirements and leading-order Toffoli costs for computing the stopping power of various projectile/target combinations relevant to interpreting and designing inertial fusion experiments. We estimate that scientifically interesting and classically intractable stopping power calculations can be quantum simulated with roughly the same number of logical qubits and about one hundred times more Toffoli gates than is required for state-of-the-art quantum simulations of industrially relevant molecules such as FeMoCo or P450.

References in corpus (38)

• Hamiltonian Simulation by Qubitization
• Optimal Hamiltonian Simulation by Quantum Signal Processing
• Large-scale integration of near-indistinguishable artificial atoms in hybrid photonic circuits
• Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
• Shock Compression of Deuterium and the Interiors of Jupiter and Saturn
• Even more efficient quantum computations of chemistry through tensor hypercontraction
• Quantum computing enhanced computational catalysis
• The Uniform Electron Gas at Warm Dense Matter Conditions
• Ab initio Equation of State data for hydrogen, helium, and water and the internal structure of Jupiter
• Is there evidence for exponential quantum advantage in quantum chemistry?
• Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization
• Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
• Charged Particle Motion in a Highly Ionized Plasma
• Electronic stopping power in insulators from first principles
• Electronic stopping power in gold: The role of d electrons and the H/He anomaly
• Simulating chemistry efficiently on fault-tolerant quantum computers
• Coherent electrical control of a single high-spin nucleus in silicon
• Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization
• Quantum Simulation of Chemistry with Sublinear Scaling in Basis Size
• Review of the First Charged-Particle Transport Coefficient Comparison Workshop
• Quantum Simulation of the Sachdev-Ye-Kitaev Model by Asymmetric Qubitization
• Accurate, efficient and simple forces with Quantum Monte Carlo methods
• Hamiltonian Simulation in the Interaction Picture
• Deterministic Single Ion Implantation with 99.87% Confidence for Scalable Donor-Qubit Arrays in Silicon
• The ion potential in warm dense matter: wake effects due to streaming degenerate electrons
• Energy loss and friction characteristics of electrons at warm dense matter and non-ideal dense plasma conditions
• Anomalous stopping and charge transfer in proton-irradiated graphene
• Charged Particle Stopping Power Effects on Ignition: Some Results from an Exact Calculation
• Fault-tolerant quantum simulation of materials using Bloch orbitals
• Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods
• Quantum Computation for Periodic Solids in Second Quantization
• On the complexity of implementing Trotter steps
• Electronic Excitation Response of DNA to High-energy Proton Radiation in Water
• Quantum computation of stopping power for inertial fusion target design
• Effects of alpha stopping power modelling on the ignition threshold in a directly-driven Inertial Confinement Fusion capsule
• Improving dynamic collision frequencies: impacts on dynamic structure factors and stopping powers in warm dense matter
• Mixed Stochastic-Deterministic Time-Dependent Density Functional Theory: Application to Stopping Power of Warm Dense Carbon
• Platform for Probing Radiation Transport Properties of Hydrogen at Conditions Found in the Deep Interiors of Red Dwarfs

Cited by in corpus (12)

• Benchmarking quantum computers
• Roadmap for Molecular Benchmarks in Nonadiabatic Dynamics
• Quantum computation of stopping power for inertial fusion target design
• Exponential improvements in the simulation of lattice gauge theories using near-optimal techniques
• Rise of conditionally clean ancillae for efficient quantum circuit constructions
• Selection and improvement of product formulae for best performance of quantum simulation
• Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
• End-to-end complexity for simulating the Schwinger model on quantum computers
• On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials
• Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
• Simulating plasma wave propagation on a superconducting quantum chip
• Post-Moore Technologies for Plasma Simulation: A Community Roadmap