Free fermion representation of the topological surface code

Ashk Farjami ()
Additional contact information
Ashk Farjami: School of Physics and Astronomy, University of Leeds

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 3, 1-11

Abstract: Abstract The toric code is known to be equivalent to free fermions. This paper presents explicit local unitary transformations that map the ℤ2 toric and surface code – the open boundary equivalent of the toric code – to fermions. Through this construction it is shown that the surface code can be mapped to a set of free fermion modes, while the toric code requires additional fermionic symmetry operators. Finally, it is demonstrated how the anyonic statistics of these codes are encoded in the fermionic representations. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2020-100429-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:93:y:2020:i:3:d:10.1140_epjb_e2020-100429-1

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2020-100429-1

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().