NuQuLib maps realistic nuclear Hamiltonians to qubit Hamiltonians and compares T-gate costs of QPE, QKrylov, and ODMD across valence and no-core model spaces.
Quantifying Correlated Truncation Errors in Effective Field Theory
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Effective field theories (EFTs) organize the description of complex systems into an infinite sequence of decreasing importance. Predictions are made with a finite number of terms, which induces a truncation error that is often left unquantified. We formalize the notion of EFT convergence and propose a Bayesian truncation error model for predictions that are correlated across the independent variables, e.g., energy or scattering angle. Central to our approach are Gaussian processes that encode both the naturalness and correlation structure of EFT coefficients. Our use of Gaussian processes permits efficient and accurate assessment of credible intervals, allows EFT fits to easily include correlated theory errors, and provides analytic posteriors for physical EFT-related quantities such as the expansion parameter. We demonstrate that model-checking diagnostics---applied to the case of multiple curves---are powerful tools for EFT validation. As an example, we assess a set of nucleon-nucleon scattering observables in chiral EFT. In an effort to be self contained, appendices include thorough derivations of our statistical results. Our methods are packaged in Python code, called gsum, that is available for download on GitHub.
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Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.
citing papers explorer
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Nuclear Many-Body Systems as Benchmarks for Quantum Computing
NuQuLib maps realistic nuclear Hamiltonians to qubit Hamiltonians and compares T-gate costs of QPE, QKrylov, and ODMD across valence and no-core model spaces.
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Bootstrapping Two-Nucleon Effective Field Theories
Bootstrap consistency checks show that the NLO chiral EFT potential for the 1S0 two-nucleon wave remains valid over a significantly wider energy range than the LO version when compared to Granada phase shifts.
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Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.