Fermionic Averaged Circuit Eigenvalue Sampling

Fuente: arXiv
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Autores principales: Chapman, Adrian, Flammia, Steven T.
Formato: Preprint
Publicado: 2025
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author Chapman, Adrian
Flammia, Steven T.
author_facet Chapman, Adrian
Flammia, Steven T.
contents Fermionic averaged circuit eigenvalue sampling (FACES) is a protocol to simultaneously learn the averaged error rates of many fermionic linear optical (FLO) gates simultaneously and self-consistently from a suitable collection of FLO circuits. It is highly flexible, allowing for the in situ characterization of FLO-averaged gate-dependent noise under natural assumptions on a family of continuously parameterized one- and two-qubit gates. We rigorously show that our protocol has an efficient sampling complexity, owing in-part to useful properties of the Kravchuk transformations that feature in our analysis. We support our conclusions with numerical results. As FLO circuits become universal with access to certain resource states, we expect our results to inform noise characterization and error mitigation techniques on universal quantum computing architectures which naturally admit a fermionic description.
format Preprint
id arxiv_https___arxiv_org_abs_2504_01936
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fermionic Averaged Circuit Eigenvalue Sampling
Chapman, Adrian
Flammia, Steven T.
Quantum Physics
Fermionic averaged circuit eigenvalue sampling (FACES) is a protocol to simultaneously learn the averaged error rates of many fermionic linear optical (FLO) gates simultaneously and self-consistently from a suitable collection of FLO circuits. It is highly flexible, allowing for the in situ characterization of FLO-averaged gate-dependent noise under natural assumptions on a family of continuously parameterized one- and two-qubit gates. We rigorously show that our protocol has an efficient sampling complexity, owing in-part to useful properties of the Kravchuk transformations that feature in our analysis. We support our conclusions with numerical results. As FLO circuits become universal with access to certain resource states, we expect our results to inform noise characterization and error mitigation techniques on universal quantum computing architectures which naturally admit a fermionic description.
title Fermionic Averaged Circuit Eigenvalue Sampling
topic Quantum Physics
url https://arxiv.org/abs/2504.01936