Hybridized Methods for Quantum Simulation in the Interaction Picture

Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular, the interaction picture simulation has been found to provide substantial asymptotic advantages for some Hamiltonians, but incurs prohibitive co...

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Veröffentlicht in:Quantum (Vienna, Austria) Jg. 6; S. 780
Hauptverfasser: Rajput, Abhishek, Roggero, Alessandro, Wiebe, Nathan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States Quantum Science Open Community 17.08.2022
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
Schlagworte:
MATHEMATICS AND COMPUTING
quantum algorithms
quantum computing
quantum simulation
ISSN:2521-327X, 2521-327X
Online-Zugang:Volltext
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Zusammenfassung:Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular, the interaction picture simulation has been found to provide substantial asymptotic advantages for some Hamiltonians, but incurs prohibitive constant factors and is incompatible with methods like qubitization. We provide a framework that allows different simulation methods to be hybridized and thereby improve performance for interaction picture simulations over known algorithms. These approaches show asymptotic improvements over the individual methods that comprise them and further make interaction picture simulation methods practical in the near term. Physical applications of these hybridized methods yield a gate complexity scaling as log 2 ⁡ Λ in the electric cutoff Λ for the Schwinger Model and independent of the electron density for collective neutrino oscillations, outperforming the scaling for all current algorithms with these parameters. For the general problem of Hamiltonian simulation subject to dynamical constraints, these methods yield a query complexity independent of the penalty parameter λ used to impose an energy cost on time-evolution into an unphysical subspace.
Bibliographie:PNNL-SA-179363
AC05-76RL01830; SC0020970; SC0012704
USDOE Office of Science (SC), Nuclear Physics (NP)
ISSN:2521-327X
2521-327X
DOI:10.22331/q-2022-08-17-780