A Quantum Circuit for Gaussian Elimination

Abstract:A quantum circuit for Gaussian elimination is developed in this work. While previous quantum implementations of Gaussian elimination were restricted to $\mathrm{GF}(2)$, the proposed design is generalized to any finite field. Compared with previous works in $\mathrm{GF}(2)$, the developed circuit achieves garbage-free construction while retaining the best known asymptotic Toffoli depth up to logarithmic factors.

Quantum Physics (quant-ph); Emerging Technologies (cs.ET)

arXiv:2609.28901 [quant-ph]

(or arXiv:2609.28901v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.28901 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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