Entangling gates from cabling of knots

• URL: http://arxiv.org/abs/2412.20931v2
• Date: Fri, 07 Feb 2025 17:37:44 GMT
• Title: Entangling gates from cabling of knots
• Authors: Sergey Mironov, Andrey Morozov,
• Abstract summary: We discuss how to construct an efficient realization of a two qubit gate in topological quantum computer. We present some examples of these operations for different parameters of the theory.
• Score: 1.450261153230204
• License:
• 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.

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