We consider quantum logical gates on Majorana qubits implemented in chain structures of ordinary qubits, spins, or pseudospins. We demonstrate that one can implement a two-qubit operation via local manipulations, using an extra coupler spin in a T-junction geometry, so that this coupler spin remains disentangled from the qubit. Furthermore, we identify a set of symmetry operations, which not only allow us to determine the resulting two-qubit gate, but also to demonstrate robustness of the resulting gate to inaccuracies in the manipulations, known for topological quantum computation.
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Contribution for the JETP special issue in honor of I. M. Khalatnikov’s 100th anniversary
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Makhlin, Y., Backens, S. & Shnirman, A. Disentangled Quantum Operation on Majorana Qubits in Qubit Chains. J. Exp. Theor. Phys. 129, 733–737 (2019). https://doi.org/10.1134/S1063776119100212