  The key obstacle to the realization of a scalable quantum computer is
overcoming environmental and control errors. Topological quantum computation
has attracted great attention because it has emerged as one of the most
promising approaches to solving these problems. Various theoretical schemes for
building topological quantum computation have been proposed. However,
experimental implementation has always been a great challenge because it has
proved to be extremely difficult to create and manipulate topological qubits in
real systems. Therefore, topological quantum computation has not been realized
in experiments yet. Here, we report the first experimental realization of
topological quantum computation with electric circuits. Based on our proposed
new scheme with circuits, Majorana-like edge states are not only observed
experimentally, but also T junctions are constructed for the braiding process.
Furthermore, we demonstrate the feasibility of topological quantum computing
through a set of one- and two-qubit unitary operations. Finally, our
implementation of Grover's search algorithm demonstrates that topological
quantum computation is ideally suited for such tasks.
