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We propose a scheme to implement Controlled Not-gate for topological qubitsin a quantum-dot-Majorana-fermion hybrid system. Quantum information is encodedon pairs of Majorana fermions, which live on the the interface betweentopologically trivial and nontrivial sections of a quantum nanowire depositedon an s-wave superconductor. A measurement-based two-qubit Controlled-Not gateis produced with the help of parity measurements assisted by the quantum-dotand followed by prescribed single-qubit gates. The parity measurement, on thequantum-dot and a topological qubit, is achieved by the Aharonov-Casher effect.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system