Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing
High-dimensional quantum computing has generated significant interest due to its potential to address scalability and error correction challenges faced by traditional qubit-based systems. This paper investigates the Average Gate Fidelity (AGF) of single qudit systems under Markovian noise in the Lin...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-04-01
|
| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-04-07-1690/pdf/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850153465322405888 |
|---|---|
| author | Jean-Gabriel Hartmann Denis Janković Rémi Pasquier Mario Ruben Paul-Antoine Hervieux |
| author_facet | Jean-Gabriel Hartmann Denis Janković Rémi Pasquier Mario Ruben Paul-Antoine Hervieux |
| author_sort | Jean-Gabriel Hartmann |
| collection | DOAJ |
| description | High-dimensional quantum computing has generated significant interest due to its potential to address scalability and error correction challenges faced by traditional qubit-based systems. This paper investigates the Average Gate Fidelity (AGF) of single qudit systems under Markovian noise in the Lindblad formalism, extending previous work by developing a comprehensive theoretical framework for the calculation of higher-order correction terms. We derive general expressions for the perturbative expansion of the Average Gate Infidelity (AGI) in terms of the environmental coupling coefficient and validate these with extensive numerical simulations, emphasizing the transition from linear to nonlinear behaviour in the strong coupling regime. Our findings highlight the dependence of AGI on qudit dimensionality, quantum gate choice, and noise strength, providing critical insights for optimising quantum gate design and error correction protocols. Additionally, we utilise our framework to identify universal bounds for the AGI in the strong coupling regime and explore the practical implications for enhancing the performance of near-term qudit architectures. This study offers a robust foundation for future research and development in high-dimensional quantum computing, contributing to the advancement of robust, high-fidelity quantum operations. |
| format | Article |
| id | doaj-art-bd9deff05ecd4c2dadfef5f5cdc46f7f |
| institution | OA Journals |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-bd9deff05ecd4c2dadfef5f5cdc46f7f2025-08-20T02:25:43ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-04-019169010.22331/q-2025-04-07-169010.22331/q-2025-04-07-1690Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum ComputingJean-Gabriel HartmannDenis JankovićRémi PasquierMario RubenPaul-Antoine HervieuxHigh-dimensional quantum computing has generated significant interest due to its potential to address scalability and error correction challenges faced by traditional qubit-based systems. This paper investigates the Average Gate Fidelity (AGF) of single qudit systems under Markovian noise in the Lindblad formalism, extending previous work by developing a comprehensive theoretical framework for the calculation of higher-order correction terms. We derive general expressions for the perturbative expansion of the Average Gate Infidelity (AGI) in terms of the environmental coupling coefficient and validate these with extensive numerical simulations, emphasizing the transition from linear to nonlinear behaviour in the strong coupling regime. Our findings highlight the dependence of AGI on qudit dimensionality, quantum gate choice, and noise strength, providing critical insights for optimising quantum gate design and error correction protocols. Additionally, we utilise our framework to identify universal bounds for the AGI in the strong coupling regime and explore the practical implications for enhancing the performance of near-term qudit architectures. This study offers a robust foundation for future research and development in high-dimensional quantum computing, contributing to the advancement of robust, high-fidelity quantum operations.https://quantum-journal.org/papers/q-2025-04-07-1690/pdf/ |
| spellingShingle | Jean-Gabriel Hartmann Denis Janković Rémi Pasquier Mario Ruben Paul-Antoine Hervieux Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing Quantum |
| title | Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing |
| title_full | Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing |
| title_fullStr | Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing |
| title_full_unstemmed | Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing |
| title_short | Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing |
| title_sort | nonlinearity of the fidelity in open qudit systems gate and noise dependence in high dimensional quantum computing |
| url | https://quantum-journal.org/papers/q-2025-04-07-1690/pdf/ |
| work_keys_str_mv | AT jeangabrielhartmann nonlinearityofthefidelityinopenquditsystemsgateandnoisedependenceinhighdimensionalquantumcomputing AT denisjankovic nonlinearityofthefidelityinopenquditsystemsgateandnoisedependenceinhighdimensionalquantumcomputing AT remipasquier nonlinearityofthefidelityinopenquditsystemsgateandnoisedependenceinhighdimensionalquantumcomputing AT marioruben nonlinearityofthefidelityinopenquditsystemsgateandnoisedependenceinhighdimensionalquantumcomputing AT paulantoinehervieux nonlinearityofthefidelityinopenquditsystemsgateandnoisedependenceinhighdimensionalquantumcomputing |