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Topological Quantum Computing

Entangling gates from cabling of knots

arXiv
Authors: Sergey Mironov, Andrey Morozov

Year

2024

Paper ID

328

Status

Preprint

Abstract Read

~2 min

Abstract Words

119

Citations

N/A

Abstract

While there is a general consensus about the structure of one qubit operations in topological quantum computer, two qubits are as usual a more difficult and complex story of different attempts with varying approaches, problems and effectiveness. In this paper we discuss how to construct an efficient realization of a two qubit gate in topological quantum computer, by using principle of cabling from the knot theory. This allows to construct a braiding of cables dependent on the parameters of the theory where there is a low probability of moving out of computational space (high fidelity of operation) while there is a non-trivial entangling two-qubit operation. We also present some examples of these operations for different parameters of the theory.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • While there is a general consensus about the structure of one qubit operations in topological quantum computer, two qubits are as usual a more difficult and complex story of...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2412.20931 [2] arXiv https://arxiv.org/abs/2412.20931 [3] Publisher https://arxiv.org/abs/2412.20931

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