Journal Article

FZJ-2025-02129

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Gate-set evaluation metrics for closed-loop optimal control on nitrogen-vacancy center ensembles in diamond

Vetter, P. J. (Corresponding author) ; Reisser, T.FZJ* ; Hirsch, M. G. ; Calarco, T.FZJ* ; Motzoi, F.FZJ* ; Jelezko, F. ; Müller, M.FZJ*

2024
Nature Publ. Group London

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Please use a persistent id in citations: doi:10.1038/s41534-024-00893-y  doi:10.34734/FZJ-2025-02129

Abstract: A recurring challenge in quantum science and technology is the precise control of their underlying dynamics that lead to the desired quantum operations, often described by a set of quantum gates. These gates can be subject to application-specific errors, leading to a dependence of their controls on the chosen circuit, the quality measure and the gate-set itself. A natural solution would be to apply quantum optimal control in an application-oriented fashion. In turn, this requires the definition of a meaningful measure of the contextual gate-set performance. Therefore, we explore and compare the applicability of quantum process tomography, linear inversion gate-set tomography, randomized linear gate-set tomography, and randomized benchmarking as measures for closed-loop quantum optimal control experiments, using a macroscopic ensemble of nitrogen-vacancy centers in diamond as a test-bed. Our work demonstrates the relative trade-offs between those measures and how to significantly enhance the gate-set performance, leading to an improvement across all investigated methods.

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Contributing Institute(s):

1. Quantum Control (PGI-8)

Research Program(s):

1. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)
2. BMBF 13N16210 - SPINNING – Spin-Photon-basierter Quantencomputer auf Diamantbasis (BMBF-13N16210) (BMBF-13N16210)
3. SPINUS - Spin based quantum computer and simulator (101135699) (101135699)
4. QCFD - Quantum Computational Fluid Dynamics (101080085) (101080085)

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