Implementation of braiding gates for non-abelian anyons topological quantum computation using enhanced brute force search algorithms.

Author / Creator

Quantum 2020 (2020)

Conferences

Quantum 2020 QCQS-2: Quantum Computing and Quantum Simulation (2020)

Available as

Online

Summary

Topological quantum computation is an implementation of a quantum computer in a way that radically reduces decoherence. Topological qubits are encoded in the topological evolution of two-dimensiona...

Topological quantum computation is an implementation of a quantum computer in a way that radically reduces decoherence. Topological qubits are encoded in the topological evolution of two-dimensional quasi-particles called anyons and universal set of quantum gates can be constructed by braiding these anyons yielding to a topologically protected circuit model. In the present talk we remind the basics of this emerging quantum computation scheme and illustrate how a topological qubit built with three Fibonacci anyons might be adopted to achieve leakage free braiding gate by exchanging the anyons composing it. A single-qubit and two-qubit braiding gates that approximates the Hadamard and C-NOT quantum gates respectively to a certain accuracy are numerically implemented using a brute force search method. The numerical programs are publicly shared for reproduction and further use.

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