A Rubik's Cube inspired approach to Clifford synthesis

Fuente: arXiv
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Auteurs principaux: Bao, Ning, Hartnett, Gavin S.
Format: Preprint
Publié: 2023
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author Bao, Ning
Hartnett, Gavin S.
author_facet Bao, Ning
Hartnett, Gavin S.
contents The problem of decomposing an arbitrary Clifford element into a sequence of Clifford gates is known as Clifford synthesis. Drawing inspiration from similarities between this and the famous Rubik's Cube problem, we develop a machine learning approach for Clifford synthesis based on learning an approximation to the distance to the identity. This approach is probabilistic and computationally intensive. However, when a decomposition is successfully found, it often involves fewer gates than existing synthesis algorithms. Additionally, our approach is much more flexible than existing algorithms in that arbitrary gate sets, device topologies, and gate fidelities may incorporated, thus allowing for the approach to be tailored to a specific device.
format Preprint
id arxiv_https___arxiv_org_abs_2307_08684
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A Rubik's Cube inspired approach to Clifford synthesis
Bao, Ning
Hartnett, Gavin S.
Quantum Physics
Machine Learning
The problem of decomposing an arbitrary Clifford element into a sequence of Clifford gates is known as Clifford synthesis. Drawing inspiration from similarities between this and the famous Rubik's Cube problem, we develop a machine learning approach for Clifford synthesis based on learning an approximation to the distance to the identity. This approach is probabilistic and computationally intensive. However, when a decomposition is successfully found, it often involves fewer gates than existing synthesis algorithms. Additionally, our approach is much more flexible than existing algorithms in that arbitrary gate sets, device topologies, and gate fidelities may incorporated, thus allowing for the approach to be tailored to a specific device.
title A Rubik's Cube inspired approach to Clifford synthesis
topic Quantum Physics
Machine Learning
url https://arxiv.org/abs/2307.08684