PLANE WAVE DUAL BASIS FOR QUANTUM SIMULATION
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United States of America Patent
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Jan 23, 2025
app pub date -
Oct 4, 2024
filing date -
Oct 4, 2024
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Methods, systems and apparatus for simulating quantum systems. In one aspect, a method includes the actions of obtaining a first Hamiltonian describing the quantum system, wherein the Hamiltonian is written in a plane wave basis comprising N plane wave basis vectors; applying a discrete Fourier transform to the first Hamiltonian to generate a second Hamiltonian written in a plane wave dual basis, wherein the second Hamiltonian comprises a number of terms that scales at most quadratically with N; and simulating the quantum system using the second Hamiltonian.
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