This review presents an entry-level introduction to topological quantum computation--
quantum computing with anyons. We introduce anyons at the system-independent level of …

Topological quantum computers promise a fault tolerant means to perform quantum
computation. Topological quantum computers use particles with exotic exchange statistics …

We propose the platform of a Yang-Lee anyon system which is constructed from Majorana
bound states in topological superconductors. Yang-Lee anyons, described by the nonunitary …

We investigate non-Abelian statistics of Majorana-Kramers pairs (MKPs) in a network system
of one-dimensional time-reversal invariant topological superconductors by using numerical …

Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing
non-Abelian anyons which, in principle, can be used for topological quantum computation …

We study an efficient algorithm to hash any single-qubit gate into a braid of Fibonacci
anyons represented by a product of icosahedral group elements. By representing the group …

Fibonacci anyons are non-Abelian particles for which braiding is universal for quantum
computation. Reichardt has shown how to systematically generate nontrivial braids for three …

We describe the hashing technique for obtaining a fast approximation of a target quantum
gate in the unitary group SU (2) represented by a product of the elements of a universal …

Fractional quantum Hall systems are exotic quantum liquids which support quasiparticle
excitations with fractional charge and even non-Abelian statistics. Theoretical investigations …

Topological quantum computation may provide a robust approach for encoding and
manipulating information utilizing the topological properties of anyonic quasiparticle …