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Implementation of single-qubit and CNOT gates by anyonic excitations of two-body topological color code

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
376
Issue
46
Identifiers
DOI: 10.1016/j.physleta.2012.10.023
Keywords
  • Condensed Matter
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract The anyonic excitations of topological two-body color code model are used to implement a set of gates. Because of two-body interactions, the model can be simulated in optical lattices. The excitations have nontrivial mutual statistics, and are coupled to nontrivial gauge fields. The underlying lattice structure provides various opportunities for encoding the states of a logical qubit in anyonic states. The interactions make the transition between different anyonic states, so being logical operation in the computational bases of the encoded qubit. Two-qubit gates can be performed in a topological way using the braiding of anyons around each other.

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