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Improving non-topological gates

Created about 10 years ago

Exchanging Majoranas can provide topologically protected single-qubit Pauli gates, a pi/4 phase gate and a Hadamard gate. Adding projective measurements also allows for the entangling CNOT gate. All the above gates belong to the Clifford group which can be simulated effectively by a classical computer.

Full quantum computation requires at least one non-Clifford gate like the pi/8 phase gate. Smart control can dramatically improve the precision of these non-topological gates which minimizes the need for error correction. An example is geometric decoupling which is related to principles of dynamical decoupling but crucially uses the underlying topology of Majorana systems.