A spectrum-based shortcut method for topological systems Article Swipe
Jian Xu
,
Feng Mei
,
Yanqing Zhu
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.08920
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2312.08920
The need for fast and robust quantum state transfer is an essential element in scalable quantum information processing, leading to widespread interest in shortcuts to adiabaticity for speeding up adiabatic quantum protocols. However, shortcuts to adiabaticity for systems with more than a few levels is occasionally challenging to compute in theory and frequently difficult to implement in experiments. In this work, we develop a protocol for constructing shortcuts to adiabaticity through the multi-state Landau-Zener approach and a stricter adiabatic condition. Importantly, our protocol only requires a few pieces of information about the energy spectrum and just adjusts the evolutionary rate of the system. It means that our protocol has broad applicability to theoretical models and does not require increasing the difficulty of the experiment. As examples, we apply our protocol to state transfer in the two-level Landau-Zener model, the non-Hermitian Su-Schrieffer-Heeger (SSH) model and the topological Thouless pump model and find that it can speed up the manipulation speed while remaining robust to Hamiltonian errors. Furthermore, based on the experimental friendliness of our findings, it can potentially be extended to many-body systems, dissipation cases, or Floquet processes. Overall, the proposed shortcut protocol offers a promising avenue for enhancing the efficiency and reliability of quantum state transfer protocols.
Related Topics
Concepts
Adiabatic process
Computer science
Quantum
Scalability
Protocol (science)
Quantum state
Statistical physics
Observable
Hamiltonian (control theory)
Quantum system
Topology (electrical circuits)
Physics
Speedup
Theoretical computer science
Quantum mechanics
Mathematics
Mathematical optimization
Engineering
Electrical engineering
Database
Medicine
Alternative medicine
Operating system
Pathology
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2312.08920
- https://arxiv.org/pdf/2312.08920
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4389820800
All OpenAlex metadata
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https://openalex.org/W4389820800Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2312.08920Digital Object Identifier
- Title
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A spectrum-based shortcut method for topological systemsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-12-14Full publication date if available
- Authors
-
Jian Xu, Feng Mei, Yanqing ZhuList of authors in order
- Landing page
-
https://arxiv.org/abs/2312.08920Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2312.08920Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2312.08920Direct OA link when available
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Adiabatic process, Computer science, Quantum, Scalability, Protocol (science), Quantum state, Statistical physics, Observable, Hamiltonian (control theory), Quantum system, Topology (electrical circuits), Physics, Speedup, Theoretical computer science, Quantum mechanics, Mathematics, Mathematical optimization, Engineering, Electrical engineering, Database, Medicine, Alternative medicine, Operating system, PathologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.with | 38 |
| abstract_inverted_index.(SSH) | 141 |
| abstract_inverted_index.about | 90 |
| abstract_inverted_index.apply | 127 |
| abstract_inverted_index.based | 166 |
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| abstract_inverted_index.means | 104 |
| abstract_inverted_index.model | 142, 148 |
| abstract_inverted_index.speed | 154, 158 |
| abstract_inverted_index.state | 7, 131, 204 |
| abstract_inverted_index.while | 159 |
| abstract_inverted_index.work, | 60 |
| abstract_inverted_index.avenue | 195 |
| abstract_inverted_index.cases, | 183 |
| abstract_inverted_index.energy | 92 |
| abstract_inverted_index.levels | 43 |
| abstract_inverted_index.model, | 137 |
| abstract_inverted_index.models | 113 |
| abstract_inverted_index.offers | 192 |
| abstract_inverted_index.pieces | 87 |
| abstract_inverted_index.robust | 5, 161 |
| abstract_inverted_index.theory | 50 |
| abstract_inverted_index.Floquet | 185 |
| abstract_inverted_index.adjusts | 96 |
| abstract_inverted_index.compute | 48 |
| abstract_inverted_index.develop | 62 |
| abstract_inverted_index.element | 12 |
| abstract_inverted_index.errors. | 164 |
| abstract_inverted_index.leading | 18 |
| abstract_inverted_index.quantum | 6, 15, 30, 203 |
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| abstract_inverted_index.system. | 102 |
| abstract_inverted_index.systems | 37 |
| abstract_inverted_index.through | 70 |
| abstract_inverted_index.However, | 32 |
| abstract_inverted_index.Overall, | 187 |
| abstract_inverted_index.Thouless | 146 |
| abstract_inverted_index.approach | 74 |
| abstract_inverted_index.extended | 178 |
| abstract_inverted_index.interest | 21 |
| abstract_inverted_index.proposed | 189 |
| abstract_inverted_index.protocol | 64, 82, 107, 129, 191 |
| abstract_inverted_index.requires | 84 |
| abstract_inverted_index.scalable | 14 |
| abstract_inverted_index.shortcut | 190 |
| abstract_inverted_index.spectrum | 93 |
| abstract_inverted_index.speeding | 27 |
| abstract_inverted_index.stricter | 77 |
| abstract_inverted_index.systems, | 181 |
| abstract_inverted_index.transfer | 8, 132, 205 |
| abstract_inverted_index.adiabatic | 29, 78 |
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| abstract_inverted_index.enhancing | 197 |
| abstract_inverted_index.essential | 11 |
| abstract_inverted_index.examples, | 125 |
| abstract_inverted_index.findings, | 173 |
| abstract_inverted_index.implement | 55 |
| abstract_inverted_index.many-body | 180 |
| abstract_inverted_index.promising | 194 |
| abstract_inverted_index.remaining | 160 |
| abstract_inverted_index.shortcuts | 23, 33, 67 |
| abstract_inverted_index.two-level | 135 |
| abstract_inverted_index.condition. | 79 |
| abstract_inverted_index.difficulty | 120 |
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| abstract_inverted_index.processes. | 186 |
| abstract_inverted_index.protocols. | 31, 206 |
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| abstract_inverted_index.Hamiltonian | 163 |
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| abstract_inverted_index.dissipation | 182 |
| abstract_inverted_index.experiment. | 123 |
| abstract_inverted_index.information | 16, 89 |
| abstract_inverted_index.multi-state | 72 |
| abstract_inverted_index.potentially | 176 |
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| abstract_inverted_index.constructing | 66 |
| abstract_inverted_index.evolutionary | 98 |
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| abstract_inverted_index.manipulation | 157 |
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| abstract_inverted_index.applicability | 110 |
| abstract_inverted_index.non-Hermitian | 139 |
| abstract_inverted_index.Su-Schrieffer-Heeger | 140 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.800000011920929 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.20831534 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |