Non-Abelian topological order and anyons on a trapped-ion processor

Iqbal, Mohsin; Tantivasadakarn, Nathanan; Verresen, Ruben; Campbell, Sara L.; Dreiling, Joan M.; Figgatt, Caroline; Gaebler, John P.; Johansen, Jacob; Mills, Michael; Moses, Steven A.; Pino, Juan M.; Ransford, Anthony; Rowe, Mary; Siegfried, Peter; Stutz, Russell P.; Foss-Feig, Michael; Vishwanath, Ashvin; Dreyer, Henrik

doi:10.1038/s41586-023-06934-4

Cited by 44 publications

(2 citation statements)

References 49 publications

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“…It is known that the practicality of quantum computers has been a subject of debate over the past few decades and very recently [50][51][52]. Yet, with a deeper understanding of quantum physics, and with the disclosure of new exotic physics phenomena, the concept of topological quantum computers has emerged [53][54][55]. These systems are designed to withstand local perturbations, which have posed significant obstacles in conventional quantum computing.…”

Section: Perspectives For Potential Implementation Of Mzms In Applica...mentioning

confidence: 99%

Sequencing one-dimensional Majorana materials for topological quantum computing

Minissale,

Bondavalli,

Figueira

et al. 2024

J. Phys. Mater.

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Majorana fermions are a fascinating class of particles with unique and intriguing properties: they are their own antiparticles, as first theorized by the Italian physicist Ettore Majorana in 1937. In recent decades, research in condensed matter physics shows theoretically that in certain exotic states of matter, such as topological superconductors, pairs of Majorana fermions can emerge as bound states at defects or interfaces, known as Majorana Zero Modes (MZMs). They behave like non-local anyons and could be used as decoherence-protected qubits. After the seminal work of Kitaev (2001), one-dimensional artificial setups have been developed in line with the concept of the Kitaev chain to implement MZMs. As no definite proof has yet been widely accepted by the community, improvements in the architectures and setups have been realized, and different platforms have been devised, which could be kinds of ‘DNA’ in this rapidly evolving vivid ecosystem. Here, we sequence these ‘DNAs’ and draw perspectives for topological quantum computation.

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Section: Perspectives For Potential Implementation Of Mzms In Applica...mentioning

confidence: 99%

Sequencing one-dimensional Majorana materials for topological quantum computing

Minissale,

Bondavalli,

Figueira

et al. 2024

J. Phys. Mater.

View full text Add to dashboard Cite

show abstract

“…This progress lies along two axes. On the digital front, programmable interactions in small and intermediate scale systems can be compiled into arbitrary unitary evolution [8][9][10]. On the analog front, a system's native interactions offer a scalable approach for realizing coherent many-body dynamics.…”

mentioning

confidence: 99%

Enhancing a Many-Body Dipolar Rydberg Tweezer Array with Arbitrary Local Controls

Bornet,

Emperauger,

Chen

et al. 2024

Phys. Rev. Lett.

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Symmetry fractionalized (irrationalized) fusion rules and two domain-wall Verlinde formulae

Zhao,

Wang,

et al. 2024

J. High Energ. Phys.

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We investigate the composite systems consisting of topological orders separated by gapped domain walls. We derive a pair of domain-wall Verlinde formulae, that elucidate the connection between the braiding of interdomain excitations labeled by pairs of anyons in different domains and quasiparticles in the gapped domain wall with their respective fusion rules. Through explicit non-Abelian examples, we showcase the calculation of such braiding and fusion, revealing that the fusion rules for interdomain excitations are generally fractional or irrational. By investigating the correspondence between composite systems and anyon condensation, we unveil the reason for designating these fusion rules as symmetry fractionalized (irrationalized) fusion rules. Our findings hold promise for applications across various fields, such as topological quantum computation, topological field theory, conformal field theory, and parton physics.

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Non-Abelian topological order and anyons on a trapped-ion processor

Cited by 44 publications

References 49 publications

Sequencing one-dimensional Majorana materials for topological quantum computing

Sequencing one-dimensional Majorana materials for topological quantum computing

Enhancing a Many-Body Dipolar Rydberg Tweezer Array with Arbitrary Local Controls

Symmetry fractionalized (irrationalized) fusion rules and two domain-wall Verlinde formulae

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