2024/12/30 by Sergey Mironov, Mironov, Sergey, А. Морозов +1 · 2 citations
Computer Science · Engineering · #Advanced Materials and Mechanics #Cellular Automata and Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2412.20931
openalex publication_date 2024/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.