https://doi.org/10.1140/epjc/s10052-025-14492-4
Regular Article - Theoretical Physics
Entangling gates from cabling of knots
1
INR RAS, 117312, Moscow, Russia
2
IITP RAS, 127994, Moscow, Russia
3
NRC “Kurchatov Institute”, 123182, Moscow, Russia
4
ITMP, MSU, 119991, Moscow, Russia
5
MIPT, 141701, Dolgoprudny, Russia
Received:
6
March
2025
Accepted:
3
July
2025
Published online:
23
July
2025
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 one 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) with a non-trivial entangling two-qubit operation. We also present some examples of these operations for different parameters of the theory.
© The Author(s) 2025
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