Analytic control methods for high-fidelity unitary operations in a weakly nonlinear oscillator
Open accessAbstract
In qubits made from a weakly anharmonic oscillator the leading source of error at short gate times is leakage of population out of the two dimensional Hilbert space that forms the qubit. In this article we develop a general scheme based on an adiabatic expansion to find pulse shapes that correct this type of error. We find a family of solutions that allows tailoring to what is practical to implement for a specific application. Our result contains and improves the previously developed derivative removal by adiabatic gate technique [F. Motzoi et al., Phys. Rev. Lett. 103, 110501 (2009)] and allows a generalization to other nonlinear oscillators with more than one leakage transition.
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Pulse shaping is a strategy for passive cancellation of system-bath interaction.
“The pulse shaping technique is a strategy for passive cancellation of system-bath interaction.”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Gambetta et al., 2011
The Conclusions (p. 10) describe shaped control pulses that reduce leakage from the qubit to higher oscillator levels. The general procedure (p. 4) describes decoupling the computational subspace from the leakage subspace, not passively cancelling a system–bath interaction. The latter characterization is not supported by this paper. (LLM, conf=0.87)
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Cites
Observation of collective excitation of two individual atoms in the Rydberg blockade regime
Gaëtan, A., Miroshnychenko, Y., Wilk, T., Chotia, A., Viteau, M., Comparat, D., Pillet, P., Browaeys, A., & Grangier, P. (2009) · Nature Physics · doi:10.1038/nphys1183 · Cited by 846 · see citing works
Bowdrey, M. D., Oi, D. K. L., Short, A. J., Banaszek, K., & Jones, J. A. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)00069-5 · Cited by 172 · see citing works
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Research works printed but not linked: 3
- [21]R. Feynman and A. Hibbs, Quantum mechanics and path integrals (McGraw-Hill, 1965).
- [29]S. Haroche and J.-M. Raimond, Exploring the quantum: atoms, cavities and photons (Oxford University Press, Oxford, 2006).
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Noisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 1,726 · see citing works
Quantum-control approach to realizing a Toffoli gate in circuit QED
Stojanović, V. M., Fedorov, A., Wallraff, A., & Bruder, C. (2012) · Physical Review B · doi:10.1103/physrevb.85.054504 · Cited by 52 · see citing works
- Authors
- Gambetta, J. M., Motzoi, F., Merkel, S. T., & Wilhelm, F. K.
- Affiliations
- University of Waterloo (CA)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2011-01-18
- Volume
- 83
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1975860547
- Cited by
- 268
- References
- 2
- Citations by year
- 2026: 23 · 2025: 33 · 2024: 35 · 2023: 47 · 2022: 19 · 2021: 29 · 2020: 18 · 2019: 8 · 2018: 10 · 2017: 10 · 2016: 10 · 2015: 6 · 2014: 4 · 2013: 5 · 2012: 7
- FWCI
- 5.89
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- weakly nonlinear oscillators, adiabatic expansion, pulse shaping, high-fidelity quantum gates, nonlinear oscillators
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