Inverse engineering of shortcut pulses for high fidelity initialization on qubits closely spaced in frequency
(2019) In Optics Express 27(6). p.8267-8282- Abstract
High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is challenging in quantum systems, where qubits are closely spaced in frequency. Motivated by the concept of shortcut to adiabaticity, we theoretically propose the shortcut pulses via inverse engineering and further optimize the pulses with respect to systematic errors in frequency detuning and Rabi frequency. Such protocol, relevant to frequency selectivity, is applied to rare-earth ions qubit system, where the excitation of frequency-neighboring qubits should be prevented as well. Furthermore, comparison... (More)
High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is challenging in quantum systems, where qubits are closely spaced in frequency. Motivated by the concept of shortcut to adiabaticity, we theoretically propose the shortcut pulses via inverse engineering and further optimize the pulses with respect to systematic errors in frequency detuning and Rabi frequency. Such protocol, relevant to frequency selectivity, is applied to rare-earth ions qubit system, where the excitation of frequency-neighboring qubits should be prevented as well. Furthermore, comparison with adiabatic complex hyperbolic secant pulses shows that these dedicated initialization pulses can reduce the time that ions spend in the excited state by a factor of 6, which is important in coherence time limited systems to approach an error rate manageable by quantum error correction. The approach may also be applicable to superconducting qubits, and any other systems where qubits are addressed in frequency.
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- author
- Yan, Ying LU ; Li, Yichao ; Kinos, Adam LU ; Walther, Andreas LU ; Shi, Chunyan LU ; Rippe, Lars LU ; Moser, Joel ; Kröll, Stefan LU and Chen, Xi
- organization
- publishing date
- 2019-03-18
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Optics Express
- volume
- 27
- issue
- 6
- pages
- 16 pages
- publisher
- Optical Society of America
- external identifiers
-
- scopus:85063438913
- pmid:31052648
- ISSN
- 1094-4087
- DOI
- 10.1364/OE.27.008267
- language
- English
- LU publication?
- yes
- id
- d0a94db5-74f6-4817-9e5c-bf049f1ffe54
- date added to LUP
- 2019-04-08 10:46:44
- date last changed
- 2024-04-30 04:05:54
@article{d0a94db5-74f6-4817-9e5c-bf049f1ffe54,
abstract = {{<p>High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is challenging in quantum systems, where qubits are closely spaced in frequency. Motivated by the concept of shortcut to adiabaticity, we theoretically propose the shortcut pulses via inverse engineering and further optimize the pulses with respect to systematic errors in frequency detuning and Rabi frequency. Such protocol, relevant to frequency selectivity, is applied to rare-earth ions qubit system, where the excitation of frequency-neighboring qubits should be prevented as well. Furthermore, comparison with adiabatic complex hyperbolic secant pulses shows that these dedicated initialization pulses can reduce the time that ions spend in the excited state by a factor of 6, which is important in coherence time limited systems to approach an error rate manageable by quantum error correction. The approach may also be applicable to superconducting qubits, and any other systems where qubits are addressed in frequency.</p>}},
author = {{Yan, Ying and Li, Yichao and Kinos, Adam and Walther, Andreas and Shi, Chunyan and Rippe, Lars and Moser, Joel and Kröll, Stefan and Chen, Xi}},
issn = {{1094-4087}},
language = {{eng}},
month = {{03}},
number = {{6}},
pages = {{8267--8282}},
publisher = {{Optical Society of America}},
series = {{Optics Express}},
title = {{Inverse engineering of shortcut pulses for high fidelity initialization on qubits closely spaced in frequency}},
url = {{http://dx.doi.org/10.1364/OE.27.008267}},
doi = {{10.1364/OE.27.008267}},
volume = {{27}},
year = {{2019}},
}