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

Quantum compiling, a process that decomposes the quantum algorithm into a series of
hardware-compatible commands or elementary gates, is of fundamental importance for …

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

Many physical systems considered promising qubit candidates are not, in fact, two-level
systems. Such systems can leak out of the preferred computational states, leading to errors …

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 …

Many systems used for quantum computing possess additional states beyond those defining
the qubit. Leakage out of the qubit subspace must be considered when designing quantum …

We investigate the topological quantum compilation of two-qubit operations within a system
of Fibonacci anyons. Our primary goal is to generate gates that are approximately leakage …

Topological quantum computation (TQC) is one of the most striking architectures that can
realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates …

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 …