Non-Abelian braiding is regarded as an essential process for realizing quantum logic. Its realizations in quantum systems often rely on the dynamic winding of anyons, which can be challenging to obtain. Implementing braiding in a classical system could,
Non-Abelian braiding of light. Phys. Rev. Lett. 117, 073901 (2016). ADS PubMed Google Scholar Barlas, Y. & Prodan, E. Topological braiding of Majorana-like modes in classical metamaterials. Preprint at https://arxiv.org/abs/1903.00463 (2019). Liu, Y., Liu, Y. & Prodan, E. ...
Non-Abelian braiding has attracted substantial attention because of its pivotal role in describing the exchange behaviour of anyons—candidates for realizing quantum logics. The input and outcome of non-Abelian braiding are connected by a unitary matrix that can also physically emerge as a geometric-...
Instituut-Lorentz Universiteit Leiden P.O. Box 9506 2300 RA Leiden NetherlandsDepartment of Physics Harvard University Cambridge Massachusetts 02138 USAarXivPhysical Review AM. Burrello, B. van Heck and A. R. Akhmerov, Braiding of non-Abelian anyons using pairwise interactions, Phys. Rev. A ...
Here, we present a machine learning algorithm for the unsupervised identification of non-Abelian braiding of multiple complex-energy bands. The consistency with Artin's well-known topological equivalence conditions in braiding is demonstrated. Inspired by the results from unsupervised learning, we also ...
With braiding simulated numerically as nonequilibrium quench processes, we verify that the MFs in our spin ladder model obey non-Abelian braiding statistics. Our scheme provides a promising platform to study exotic properties of MFs and a broad range of applications in topological quantum computation....
报告摘要:Exploring non-Hermitian phenomenology is an exciting frontier of modern physics. However, the demonstration of non-Hermitian phenomenon that is quantum in nature has remained elusive. Here, we predict the quantum non-Hermitian phenomena, the fractional quantum Zeno (FQZ) effect and FQZ-ind...
The exchange of eigenvalues after one cycle also leads to the braiding of the two energy bands which belongs to the two-strand braid group B 2. To describe how many times the bands enwind with each other, a topological number ν is defined as [35]...
Erratum: Braiding of non-Abelian anyons using pairwise interactions [Phys. Rev. A 87, 022343 (2013)]We would like to correct a typographical error in the description of the feed-forward transforms at the end of the thirdnparagraph in Sec. II C. The sentence "In this case, we flip the...
It has been proposed that anyons could be used to encode and manipulate information in a topologically protected manner that is immune to local noise, with quantum gates performed by braiding and fusing anyons. Unfortunately, realizing non-Abelian topologically ordered states is challenging, and it ...