Fermion determinants on a quantum computer Article Swipe

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George Fleming , Prasanth Shyamsundar , Judah Unmuth-Yockey ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2407.13080

We present a quantum algorithm to compute the logarithm of the determinant of the fermion matrix, assuming access to a classical lattice gauge field configuration. The algorithm uses the quantum eigenvalue transform, and quantum mean estimation, giving a query complexity that scales like $O(V\log(V))$ in the matrix dimension $V$.

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Fermion Quantum computer Quantum Physics Quantum mechanics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2407.13080
PDF: https://arxiv.org/pdf/2407.13080
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4404436915

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DOI: https://doi.org/10.48550/arxiv.2407.13080

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Title: Fermion determinants on a quantum computer

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-07-18

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Authors: George Fleming, Prasanth Shyamsundar, Judah Unmuth-Yockey

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Landing page: https://arxiv.org/abs/2407.13080

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PDF URL: https://arxiv.org/pdf/2407.13080

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OA status: green

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OA URL: https://arxiv.org/pdf/2407.13080

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Concepts: Fermion, Quantum computer, Quantum, Physics, Quantum mechanics

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Cited by: 0

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Related works (count): 10

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