Quantum computation of stopping power for inertial fusion target design

Fuente: arXiv
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Autores principales: Rubin, Nicholas C., Berry, Dominic W., Kononov, Alina, Malone, Fionn D., Khattar, Tanuj, White, Alec, Lee, Joonho, Neven, Hartmut, Babbush, Ryan, Baczewski, Andrew D.
Formato: Preprint
Publicado: 2023
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author Rubin, Nicholas C.
Berry, Dominic W.
Kononov, Alina
Malone, Fionn D.
Khattar, Tanuj
White, Alec
Lee, Joonho
Neven, Hartmut
Babbush, Ryan
Baczewski, Andrew D.
author_facet Rubin, Nicholas C.
Berry, Dominic W.
Kononov, Alina
Malone, Fionn D.
Khattar, Tanuj
White, Alec
Lee, Joonho
Neven, Hartmut
Babbush, Ryan
Baczewski, Andrew D.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_12352
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum computation of stopping power for inertial fusion target design
Rubin, Nicholas C.
Berry, Dominic W.
Kononov, Alina
Malone, Fionn D.
Khattar, Tanuj
White, Alec
Lee, Joonho
Neven, Hartmut
Babbush, Ryan
Baczewski, Andrew D.
Quantum Physics
Plasma Physics
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.
title Quantum computation of stopping power for inertial fusion target design
topic Quantum Physics
Plasma Physics
url https://arxiv.org/abs/2308.12352