Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion
Accurate modeling of decoherence errors in quantum processors is crucial for analyzing and improving gate fidelities. To increase the accuracy beyond that of the Lindblad dynamical map, several generalizations have been proposed, and the exploration of simpler and more systematic frameworks is still...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-11-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-11-03-1158/pdf/ |
| _version_ | 1797639359688605696 |
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| author | Ziwen Huang Yunwei Lu Anna Grassellino Alexander Romanenko Jens Koch Shaojiang Zhu |
| author_facet | Ziwen Huang Yunwei Lu Anna Grassellino Alexander Romanenko Jens Koch Shaojiang Zhu |
| author_sort | Ziwen Huang |
| collection | DOAJ |
| description | Accurate modeling of decoherence errors in quantum processors is crucial for analyzing and improving gate fidelities. To increase the accuracy beyond that of the Lindblad dynamical map, several generalizations have been proposed, and the exploration of simpler and more systematic frameworks is still ongoing. In this paper, we introduce a decoherence model based on the Keldysh formalism. This formalism allows us to include non-periodic drives and correlated quantum noise in our model. In addition to its wide range of applications, our method is also numerically simple, and yields a CPTP map. These features allow us to integrate the Keldysh map with quantum-optimal-control techniques. We demonstrate that this strategy generates pulses that mitigate correlated quantum noise in qubit state-transfer and gate operations. |
| first_indexed | 2024-03-11T13:16:38Z |
| format | Article |
| id | doaj.art-880e26462cca4deb9f84cda8470ab8d5 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-11T13:16:38Z |
| publishDate | 2023-11-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-880e26462cca4deb9f84cda8470ab8d52023-11-03T11:22:16ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-11-017115810.22331/q-2023-11-03-115810.22331/q-2023-11-03-1158Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh ExpansionZiwen HuangYunwei LuAnna GrassellinoAlexander RomanenkoJens KochShaojiang ZhuAccurate modeling of decoherence errors in quantum processors is crucial for analyzing and improving gate fidelities. To increase the accuracy beyond that of the Lindblad dynamical map, several generalizations have been proposed, and the exploration of simpler and more systematic frameworks is still ongoing. In this paper, we introduce a decoherence model based on the Keldysh formalism. This formalism allows us to include non-periodic drives and correlated quantum noise in our model. In addition to its wide range of applications, our method is also numerically simple, and yields a CPTP map. These features allow us to integrate the Keldysh map with quantum-optimal-control techniques. We demonstrate that this strategy generates pulses that mitigate correlated quantum noise in qubit state-transfer and gate operations.https://quantum-journal.org/papers/q-2023-11-03-1158/pdf/ |
| spellingShingle | Ziwen Huang Yunwei Lu Anna Grassellino Alexander Romanenko Jens Koch Shaojiang Zhu Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion Quantum |
| title | Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion |
| title_full | Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion |
| title_fullStr | Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion |
| title_full_unstemmed | Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion |
| title_short | Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion |
| title_sort | completely positive map for noisy driven quantum systems derived by keldysh expansion |
| url | https://quantum-journal.org/papers/q-2023-11-03-1158/pdf/ |
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