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Optimal Control of a Qubit Coupled to a Non-Markovian Environment
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A central challenge for implementing quantum computing in the solid state is decoupling the qubits from the intrinsic noise of the material. We investigate the implementation of quantum gates for a paradigmatic, non-Markovian model: a single-qubit coupled to a two-level system that is exposed to a heat bath. We systematically search for optimal pulses using a generalization of the novel open systems gradient ascent pulse engineering algorithm. Next to the known optimal bias point of this model, there are optimal pulses which lead to high-fidelity quantum operations for a wide range of decoherence parameters.
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“Furthermore, it is well-known that non-Markovian dynamics better preserve quantum information, as non-Markovianity induces a backflow of quantum information from the reservoir to the central spin [106,107,108,109,110,111,112,113,114,115,116].”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [111]
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Huang, P., & Zheng, H. (2010) · Chemical Physics Letters · doi:10.1016/j.cplett.2010.10.009 · Cited by 12
Non-Markovian discrete qubit dynamics
Sun, J. Y., Sun, Y.-N., Li, C., Guo, G., Luoma, K., & Piilo, J. (2016) · 中国科学通报：英文版 · doi:10.1007/s11434-016-1089-8 · Cited by 11
Hell, M., Wegewijs, M. R., & Divincenzo, D. P. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.045418 · Cited by 10
Advanced Optimal Control Methods for Spin Systems
Goodwin, D. L. (2017) · ePrints Soton (University of Southampton) · doi:10.5258/soton/t0003 · Cited by 12
Metadata
- Authors
- Rebentrost, P., Serban, I., Schulte-Herbrüggen, T., & Wilhelm, F. K.
- Affiliations
- Harvard University (US)
- University of Waterloo (CA)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-03-02
- Volume
- 102
- Issue
- 9
- Pages
- 090401-090401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2089927214
- Cited by
- 152
- References
- 33
- Citations by year
- 2026: 2 · 2025: 9 · 2024: 5 · 2023: 10 · 2022: 5 · 2021: 5 · 2020: 4 · 2019: 9 · 2018: 3 · 2017: 10 · 2016: 12 · 2015: 10 · 2014: 18 · 2013: 6 · 2012: 9
- FWCI
- 15.84
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
- Keywords
- optimal control, qubit decoherence, non-Markovian environments, two-level system, heat bath, gradient ascent pulse engineering, open quantum systems, quantum gate implementation, solid-state quantum computing, decoherence
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