Near-Minimal Gate Set Tomography Experiment Designs

Fuente: arXiv
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Main Authors: Ostrove, Corey, Rudinger, Kenneth, Seritan, Stefan, Young, Kevin, Blume-Kohout, Robin
Format: Preprint
Published: 2023
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author Ostrove, Corey
Rudinger, Kenneth
Seritan, Stefan
Young, Kevin
Blume-Kohout, Robin
author_facet Ostrove, Corey
Rudinger, Kenneth
Seritan, Stefan
Young, Kevin
Blume-Kohout, Robin
contents Gate set tomography (GST) provides precise, self-consistent estimates of the noise channels for all of a quantum processor's logic gates. But GST experiments are large, involving many distinct quantum circuits. This has prevented their use on systems larger than two qubits. Here, we show how to streamline GST experiment designs by removing almost all redundancy, creating smaller and more scalable experiments without losing precision. We do this by analyzing the "germ" subroutines at the heart of GST circuits, identifying exactly what gate set parameters they are sensitive to, and leveraging this information to remove circuits that duplicate other circuits' sensitivities. We apply this technique to two-qubit GST experiments, generating streamlined experiment designs that contain only slightly more circuits than the theoretical minimum bounds, but still achieve Heisenberg-like scaling in precision (as demonstrated via simulation and a theoretical analysis using Fisher information). In practical use, the new experiment designs can match the precision of previous GST experiments with significantly fewer circuits. We discuss the prospects and feasibility of extending GST to three-qubit systems using our techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2308_08781
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Near-Minimal Gate Set Tomography Experiment Designs
Ostrove, Corey
Rudinger, Kenneth
Seritan, Stefan
Young, Kevin
Blume-Kohout, Robin
Quantum Physics
Gate set tomography (GST) provides precise, self-consistent estimates of the noise channels for all of a quantum processor's logic gates. But GST experiments are large, involving many distinct quantum circuits. This has prevented their use on systems larger than two qubits. Here, we show how to streamline GST experiment designs by removing almost all redundancy, creating smaller and more scalable experiments without losing precision. We do this by analyzing the "germ" subroutines at the heart of GST circuits, identifying exactly what gate set parameters they are sensitive to, and leveraging this information to remove circuits that duplicate other circuits' sensitivities. We apply this technique to two-qubit GST experiments, generating streamlined experiment designs that contain only slightly more circuits than the theoretical minimum bounds, but still achieve Heisenberg-like scaling in precision (as demonstrated via simulation and a theoretical analysis using Fisher information). In practical use, the new experiment designs can match the precision of previous GST experiments with significantly fewer circuits. We discuss the prospects and feasibility of extending GST to three-qubit systems using our techniques.
title Near-Minimal Gate Set Tomography Experiment Designs
topic Quantum Physics
url https://arxiv.org/abs/2308.08781