A proposed technique for performing fault-tolerant quantum operations by exchanging quasiparticles in two dimensions.Braiding is a proposed technique for performing quantum computations in a topologically protected manner, primarily associated with anyons in two-dimensional systems. Unlike ordinary particles, anyons have the exotic property that their quantum state changes when they are exchanged, and this change depends only on the topology of their worldlines, not on the details of the path. By carefully moving quasiparticles around each other in a two-dimensional plane, one can perform a set of operations known as braids, which can be used to encode and manipulate quantum information in a way that is inherently resistant to local errors.
The concept of anyons and their braiding statistics was introduced by Frank Wilczek in 1982, and the idea of using them for topological quantum computation was proposed by Alexei Kitaev in 1997 and independently by Michael Freedman and collaborators. The search for non-Abelian anyons in real materials has been a major experimental effort since then.
The idea relies on the existence of quasiparticles called non-Abelian anyons, such as Majorana zero modes, which are predicted to emerge in certain condensed matter systems. When two such anyons are exchanged, their combined quantum state undergoes a unitary transformation that is determined solely by the braiding operation. By creating a network of anyons and moving them in specific sequences, one can implement a set of quantum gates. The topological nature of the braiding means that small perturbations or local noise do not affect the result, providing a natural form of error correction.
Braiding is the foundational principle behind topological quantum computers, which are being developed by companies like Microsoft, aiming to create a scalable and fault-tolerant quantum computer using Majorana-based qubits.
In 2020, researchers at Microsoft reported evidence of Majorana zero modes in a nanowire device, but the results were later retracted due to data analysis errors, highlighting the extreme difficulty of experimentally realizing braiding.









