Optimal control of a qubit in an optical cavity
Open accessAbstract
We study quantum information processing by means of optimal control theory. To this end, we analyze the damped Jaynes-Cummings model, and derive optimal control protocols that minimize the heating or energy dispersion rates, and controls that drive the system at the quantum speed limit. Special emphasis is put on analyzing the subtleties of optimal control theory for our system. In particular, it is shown how two fundamentally different approaches to the quantum speed limit can be reconciled by carefully formulating the problem.
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The minimal time and geometric approaches give the same results for time-independent generators.
“At first glance, these two approaches appear to be equivalent, since they give the same results for timeindependent generators [117,122].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [122]
The work demonstrated a novel method of environment engineering for optimal quantum control protocols.
“Third, we demonstrated a novel way of environment engineering for optimal quantum control protocols [17].”
From Environment-Assisted Speed-up of the Field Evolution in Cavity Quantum Electrodynamics (2015) · cites this paper as [17]
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Cites
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Cited by
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Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585 · see citing works
Self-citationGeneralized Geometric Quantum Speed Limits
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Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity
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Self-citationEnvironment-Assisted Speed-up of the Field Evolution in Cavity Quantum Electrodynamics
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Self-citationClassical-driving-assisted quantum speed-up
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Self-citation
- Authors
- Deffner, S.
- Affiliations
- University of Maryland, College Park (US)
- Corresponding author
- Deffner, Sebastian
- ORCID
- Deffner, Sebastian
- Venue
- Journal of Physics B: Atomic, Molecular and Optical Physics
- Publisher
- IOP Publishing
- Published
- 2014-07-04
- Volume
- 47
- Issue
- 14
- Pages
- 145502
- ISSN
- 0953-4075 (ISSN-L)
- 1361-6455
- OpenAlex
- W2024169441
- Cited by
- 75
- References
- 12
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 2 · 2023: 3 · 2022: 11 · 2021: 6 · 2020: 6 · 2019: 9 · 2018: 3 · 2017: 7 · 2016: 5 · 2015: 14 · 2014: 4
- FWCI
- 9.97
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Journal of Physics B Atomic Molecular and Optical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Maryland Shared Open Access Repository (USMAI Consortium) (submittedVersion)
- arXiv (Cornell University)
- Digital Repository at the University of Maryland (University of Maryland College Park)
- Funders
- National Science Foundation (1206971)
- Division of Materials Research
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- optimal control, qubits, optical resonators, quantum speed limit, heating rate, energy dispersion, quantum information processing, control protocols
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