Emergent complex quantum networks in continuous-variables non-Gaussian states Article Swipe
Mattia Walschaers
,
Nicolas Treps
,
Bhuvanesh Sundar
,
Lincoln D. Carr
,
Valentina Parigi
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1088/2058-9565/accdfd
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1088/2058-9565/accdfd
We use complex network theory to study a class of photonic continuous variable quantum states that present both multipartite entanglement and non-Gaussian statistics. We consider the intermediate scale of several dozens of modes at which such systems are already hard to characterize. In particular, the states are built from an initial imprinted cluster state created via Gaussian entangling operations according to a complex network structure. We then engender non-Gaussian statistics via multiple photon subtraction operations acting on a single node. We replicate in the quantum regime some of the models that mimic real-world complex networks in order to test their structural properties under local operations. We go beyond the already known single-mode effects, by studying the emergent network of photon-number correlations via complex networks measures. We analytically prove that the imprinted network structure defines a vicinity of nodes, at a distance of four steps from the photon-subtracted node, in which the emergent network changes due to photon subtraction. We show numerically that the emergent structure is greatly influenced by the structure of the imprinted network. Indeed, while the mean and the variance of the degree and clustering distribution of the emergent network always increase, the higher moments of the distributions are governed by the specific structure of the imprinted network. Finally, we show that the behaviour of nearest neighbours of the subtraction node depends on how they are connected to each other in the imprinted structure.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/2058-9565/accdfd
- OA Status
- green
- Cited By
- 14
- References
- 118
- Related Works
- 10
- OpenAlex ID
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- OpenAlex ID
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https://openalex.org/W3113721327Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/2058-9565/accdfdDigital Object Identifier
- Title
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Emergent complex quantum networks in continuous-variables non-Gaussian statesWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-04-18Full publication date if available
- Authors
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Mattia Walschaers, Nicolas Treps, Bhuvanesh Sundar, Lincoln D. Carr, Valentina ParigiList of authors in order
- Landing page
-
https://doi.org/10.1088/2058-9565/accdfdPublisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2012.15608Direct OA link when available
- Concepts
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Gaussian, Quantum entanglement, Statistical physics, Complex network, Quantum network, Node (physics), Quantum state, Computer science, Topology (electrical circuits), Quantum, Mathematics, Physics, Quantum mechanics, World Wide Web, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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14Total citation count in OpenAlex
- Citations by year (recent)
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2025: 4, 2024: 5, 2023: 3, 2021: 2Per-year citation counts (last 5 years)
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118Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.governed | 202 |
| abstract_inverted_index.multiple | 72 |
| abstract_inverted_index.network. | 175, 210 |
| abstract_inverted_index.networks | 95, 124 |
| abstract_inverted_index.photonic | 11 |
| abstract_inverted_index.specific | 205 |
| abstract_inverted_index.studying | 115 |
| abstract_inverted_index.variable | 13 |
| abstract_inverted_index.variance | 182 |
| abstract_inverted_index.vicinity | 136 |
| abstract_inverted_index.according | 60 |
| abstract_inverted_index.behaviour | 216 |
| abstract_inverted_index.connected | 229 |
| abstract_inverted_index.imprinted | 52, 131, 174, 209, 235 |
| abstract_inverted_index.increase, | 194 |
| abstract_inverted_index.measures. | 125 |
| abstract_inverted_index.replicate | 82 |
| abstract_inverted_index.structure | 133, 165, 171, 206 |
| abstract_inverted_index.clustering | 187 |
| abstract_inverted_index.continuous | 12 |
| abstract_inverted_index.entangling | 58 |
| abstract_inverted_index.influenced | 168 |
| abstract_inverted_index.neighbours | 219 |
| abstract_inverted_index.operations | 59, 75 |
| abstract_inverted_index.properties | 102 |
| abstract_inverted_index.real-world | 93 |
| abstract_inverted_index.statistics | 70 |
| abstract_inverted_index.structural | 101 |
| abstract_inverted_index.structure. | 65, 236 |
| abstract_inverted_index.numerically | 161 |
| abstract_inverted_index.operations. | 105 |
| abstract_inverted_index.particular, | 44 |
| abstract_inverted_index.single-mode | 112 |
| abstract_inverted_index.statistics. | 23 |
| abstract_inverted_index.subtraction | 74, 222 |
| abstract_inverted_index.analytically | 127 |
| abstract_inverted_index.correlations | 121 |
| abstract_inverted_index.distribution | 188 |
| abstract_inverted_index.entanglement | 20 |
| abstract_inverted_index.intermediate | 27 |
| abstract_inverted_index.multipartite | 19 |
| abstract_inverted_index.non-Gaussian | 22, 69 |
| abstract_inverted_index.subtraction. | 158 |
| abstract_inverted_index.characterize. | 42 |
| abstract_inverted_index.distributions | 200 |
| abstract_inverted_index.photon-number | 120 |
| abstract_inverted_index.photon-subtracted | 147 |
| cited_by_percentile_year.max | 98 |
| cited_by_percentile_year.min | 93 |
| countries_distinct_count | 3 |
| institutions_distinct_count | 5 |
| citation_normalized_percentile.value | 0.90720189 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |