Microscopic treatment of instantaneous spectral diffusion and its effect on quantum gate fidelities in rare-earth-ion-doped crystals
(2022) In Physical Review A 105(3).- Abstract
The effect of instantaneous spectral diffusion (ISD) on gate operations in rare-earth-ion-doped crystals is an important question to answer for the future of rare-earth quantum computing. Here we present a microscopic modeling that highlights the stochastic nature of the phenomenon and use it to investigate ISD errors on single-qubit gate operations. Furthermore, we present a method to estimate the total error from many different error sources by only studying subsystems containing one error source at a time. This allows us to estimate the total ISD error from all nonqubit dopants in the vicinity of a qubit. We conclude that optical pumping techniques must be used to empty the frequency regions around the qubit transitions from... (More)
The effect of instantaneous spectral diffusion (ISD) on gate operations in rare-earth-ion-doped crystals is an important question to answer for the future of rare-earth quantum computing. Here we present a microscopic modeling that highlights the stochastic nature of the phenomenon and use it to investigate ISD errors on single-qubit gate operations. Furthermore, we present a method to estimate the total error from many different error sources by only studying subsystems containing one error source at a time. This allows us to estimate the total ISD error from all nonqubit dopants in the vicinity of a qubit. We conclude that optical pumping techniques must be used to empty the frequency regions around the qubit transitions from absorption (transmission windows) in order to suppress the ISD errors. Despite using such windows, there remains a roughly 0.3% risk that a qubit has an ISD error larger than the error from other sources. In those cases, the qubit can be discarded and its frequency channel can be reused by another qubit. However, in most cases the ISD errors are significantly smaller than other errors, thus opening up the possibility to perform noisy intermediate-scale quantum (NISQ) algorithms despite ISD being present.
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- author
- Kinos, Adam LU ; Rippe, Lars LU ; Walther, Andreas LU and Kröll, Stefan LU
- organization
- publishing date
- 2022-03
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review A
- volume
- 105
- issue
- 3
- article number
- 032608
- publisher
- American Physical Society
- external identifiers
-
- scopus:85127608637
- ISSN
- 2469-9926
- DOI
- 10.1103/PhysRevA.105.032608
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2022 authors. Published by the American Physical Society.
- id
- 3c551cd4-5f39-452f-b193-8d4880c85a90
- date added to LUP
- 2022-04-21 08:43:08
- date last changed
- 2023-11-12 04:14:20
@article{3c551cd4-5f39-452f-b193-8d4880c85a90,
abstract = {{<p>The effect of instantaneous spectral diffusion (ISD) on gate operations in rare-earth-ion-doped crystals is an important question to answer for the future of rare-earth quantum computing. Here we present a microscopic modeling that highlights the stochastic nature of the phenomenon and use it to investigate ISD errors on single-qubit gate operations. Furthermore, we present a method to estimate the total error from many different error sources by only studying subsystems containing one error source at a time. This allows us to estimate the total ISD error from all nonqubit dopants in the vicinity of a qubit. We conclude that optical pumping techniques must be used to empty the frequency regions around the qubit transitions from absorption (transmission windows) in order to suppress the ISD errors. Despite using such windows, there remains a roughly 0.3% risk that a qubit has an ISD error larger than the error from other sources. In those cases, the qubit can be discarded and its frequency channel can be reused by another qubit. However, in most cases the ISD errors are significantly smaller than other errors, thus opening up the possibility to perform noisy intermediate-scale quantum (NISQ) algorithms despite ISD being present.</p>}},
author = {{Kinos, Adam and Rippe, Lars and Walther, Andreas and Kröll, Stefan}},
issn = {{2469-9926}},
language = {{eng}},
number = {{3}},
publisher = {{American Physical Society}},
series = {{Physical Review A}},
title = {{Microscopic treatment of instantaneous spectral diffusion and its effect on quantum gate fidelities in rare-earth-ion-doped crystals}},
url = {{http://dx.doi.org/10.1103/PhysRevA.105.032608}},
doi = {{10.1103/PhysRevA.105.032608}},
volume = {{105}},
year = {{2022}},
}