Enhanced Quantum Transport in Multiplex Networks

Muelken, Oliver

doi:10.1007/s10955-015-1434-3

Cited by 3 publications

(2 citation statements)

References 27 publications

(36 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This framework was revisited and improved in [226] which showed that by allowing also isolated nodes without loops the construction of gates from a universal gate could be further simplified. Yet further possibilities include considering transport in multiplex [227] or fractal graphs [228,229]. Spatial search on fractal graphs has also been considered using a so-called flip-flop quantum walk [230][231][232].…”

Section: Avenues For Further Researchmentioning

confidence: 99%

Complex quantum networks: a topical review

Nokkala,

Piilo,

Bianconi

2024

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

These are exciting times for quantum physics as new quantum technologies are expected to soon transform computing at an unprecedented level. Simultaneously network science is ﬂourishing proving an ideal mathematical and computational framework to capture the complexity of large interacting systems. Here we provide a comprehensive and timely review of the rising ﬁeld of complex quantum networks. On one side, this subject is key to harness the potential of complex networks in order to provide design principles to boost and enhance quantum algorithms and quantum technologies. On the other side this subject can provide a new generation of quantum algorithms to infer signiﬁcant complex network properties. The ﬁeld features fundamental research questions as diverse as designing networks to shape Hamiltonians and their corresponding phase diagram, taming the complexity of many-body quantum systems with network theory, revealing how quantum physics and quantum algorithms can predict novel network properties and phase transitions, and studying the interplay between architecture, topology and performance in quantum communication networks. Our review covers all of these multifaceted aspects in a self-contained presentation aimed both at network-curious quantum physicists and at quantum-curious network theorists. We provide a framework that uniﬁes the ﬁeld of quantum complex networks along four main research lines: network-generalized, quantum-applied, quantum-generalized and quantum-enhanced. Finally we draw attention to the connections between these research lines, which can lead to new opportunities and new discoveries at the interface between quantum physics and network science.

show abstract

Section: Avenues For Further Researchmentioning

confidence: 99%

Complex quantum networks: a topical review

Nokkala,

Piilo,

Bianconi

2024

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…This framework was revisited and improved in [209] which showed that by allowing also isolated nodes without loops the construction of gates from a universal gate could be further simplified. Yet further possibilities include considering transport in multiplex [210] or fractal graphs [211].…”

Section: Avenues For Further Researchmentioning

confidence: 99%

Complex quantum networks as structured environments: engineering and probing

Nokkala¹,

Galve²,

Zambrini³

et al. 2016

Sci Rep

View full text Add to dashboard Cite

We consider structured environments modeled by bosonic quantum networks and investigate the probing of their spectral density, structure, and topology. We demonstrate how to engineer a desired spectral density by changing the network structure. Our results show that the spectral density can be very accurately detected via a locally immersed quantum probe for virtually any network configuration. Moreover, we show how the entire network structure can be reconstructed by using a single quantum probe. We illustrate our findings presenting examples of spectral densities and topology probing for networks of genuine complexity.

show abstract

Continuous-time quantum walks on multilayer dendrimer networks

Galiceanu

Strunz

2016

Phys. Rev. E

View full text Add to dashboard Cite

We consider continuous-time quantum walks (CTQWs) on multilayer dendrimer networks (MDs) and their application to quantum transport. A detailed study of properties of CTQWs is presented and transport efficiency is determined in terms of the exact and average return probabilities. The latter depends only on the eigenvalues of the connectivity matrix, which even for very large structures allows a complete analytical solution for this particular choice of network. In the case of MDs we observe an interplay between strong localization effects, due to the dendrimer topology, and good efficiency from the linear segments. We show that quantum transport is enhanced by interconnecting more layers of dendrimers.

show abstract

Enhanced Quantum Transport in Multiplex Networks

Cited by 3 publications

References 27 publications

Complex quantum networks: a topical review

Complex quantum networks: a topical review

Complex quantum networks as structured environments: engineering and probing

Continuous-time quantum walks on multilayer dendrimer networks

Contact Info

Product

Resources

About