A topological quantum computer is a theoretical type of quantum computer proposed by Russian-American physicist Alexei Kitaev in 1997. [2] It utilizes quasiparticles, known as anyons, in two-dimensional systems.

May 11, 2017 · We outline the general steps of topological quantum computation, as well as discuss various challenges faced by it. We also review the literature on condensed matter systems where anyons can emerge.

The existence of topological phases of matter with non-abelian anyons would lead us to topological quantum computation via unitary modular tensor categories. TPM UMTC TQC

Topological quantum computing (TQC) is a theoretical model for quantum computation. In this model, information is encoded in the braiding of particles, therefore protecting it from local errors. TQC is a promising solution to the problem of decoherence in quantum computing.

Topological quantum computation is an approach to storing and manipulating quantum infor-mation that employs exotic quasiparticles, called anyons. Anyons are interesting on their own right in fundamental physics, as they generalise the statistics of …

Sep 12, 2008 · Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons nor fermions, but are particles known as non-Abelian anyons, meaning that they obey non ...

1.3 Topological Quantum Computing (TQC) TQC is an approach to realizing quantum computing with non-Abelian anyons/quasi-particles in certain two dimensional quantum systems. The information is encoded in non-local de-grees of the system making it fault-tolerant to local errors.

Mar 8, 2013 · Quantum computation requires controlled engineering of quantum states to perform tasks that go beyond those possible with classical computers. Topological quantum computation aims to achieve this goal by using non-Abelian quantum phases of matter.

Aug 29, 2024 · Topological quantum computing is an approach to quantum computing that aims to leverage the properties of topological phases of matter to create more robust and fault-tolerant qubits.

Jan 23, 2025 · Gauge theories have proved to be crucial for understanding topological phases of matter, such as quantum Hall systems in condensed matter physics.