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Error suppression in Hamiltonian-based quantum computation using energy penalties
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Hidden Inverses: Coherent Error Cancellation at the Circuit Level
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Elimination of the linearization error in APW/LAPW basis set: Dirac-Kohn-Sham equations
Here, a detailed account of the implementation of equations of the relativistic density functional theory (RDFT) using basis sets of APW/LAPW type with flexible extensions provided by local orbitals is given. Earlier discoveries of the importance of the high derivative local orbital (HDLO) extension of the APW/LAPW basis set for enhancing the accuracy of DFT calculations are confirmed using a fully relativistic approach and α – U as an example. High energy local orbitals (HELO's), however indispensable for GW calculations, are considerably less efficient in enhancing the accuracy of DFT applications. It is shown that a simplified approach to the relativistic effects, namely considering them only inside the muffin-tin (MT) spheres, produces basically identical results (as compared to fully relativistic approach) for the electronic free energy of the five materials considered in this work. By comparing the effect of the simplified approach on the electronic free energy with its effect on the electronic kinetic energy we conclude that the insensitivity of the free energy to the way we describe the relativistic effects in the interstitial region is related to the variational property of this quantity.
Monte Carlo studies of the self-correcting properties of the Majorana quantum error correction code under braiding
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Statistical error propagation in ab initio no-core full configuration calculations of light nuclei
We propagate the statistical uncertainty of experimental N N scattering data into the binding energy of 3 H and 4 He. Here, we also study the sensitivity of the magnetic moment and proton radius of the 3 H to changes in the N N interaction. The calculations are made with the no-core full configuration method in a sufficiently large harmonic oscillator basis. For those light nuclei we obtain Δ E stat (3H) = 0.015 MeV and Δ E stat ( 4 He) = 0.055 MeV .
QED self-energies from lattice QCD without power-law finite-volume errors
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Masses of doubly heavy tetraquarks with error bars
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The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
Abstract Not Provided