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Quantum Algorithms
Bootstrapping Simple QM Systems
arXiv
Authors: David Berenstein, George Hulsey
Year
2021
Paper ID
62244
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
We test the bootstrap approach for determining the spectrum of one dimensional Hamiltonians, following the recent approach of Han, Hartnoll, and Kruthoff. We focus on comparing the bootstrap method data to known analytical predictions for the hydrogen atom and the harmonic oscillator. We resolve many energy levels for each, and more levels are resolved as the size of the matrices used to solve the problem increases. Using the bootstrap approach we find the spectrum of the Coulomb and harmonic potentials converge exponentially fast.
Why This Paper Matters
- It adds a 2021 reference point for readers tracking recent quantum research.
- We test the bootstrap approach for determining the spectrum of one dimensional Hamiltonians, following the recent approach of Han, Hartnoll, and Kruthoff.
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