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. These anyons' world lines intertwine to form braids in a three-dimensional spacetime (one temporal and two spatial dimensions).

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.

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.

Topological quantum computation stands uniquely at the interface of quantum topology, quantum physics, and quantum computing, enriching all three subjects with new problems.

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. This method uses anyons, which are quasiparticles that exist in two-dimensional...

Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors.

Jan 16, 2018 · Topological precision has been confirmed in quantum Hall liquids by experiments to an accuracy of 10−10 and harnessed to stabilize quantum memory. In this survey, we discuss the conceptual devel-opment of this interdisciplinary field at the juncture of mathematics, physics, and computer science.

This is the note for the 10-lecture course `Topological Quantum Computation' (TQC) I taught at Stanford University during Spring 2018. The course is aimed at a basic introduction to TQC, with a focus on the mathematical side of the theory.

Sep 12, 2008 · Both the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.

Oct 10, 2002 · Focusing on feasibility, we present a model of quantum computation in which information is stored and manipulated in \topological degrees of freedom" rather than in localized degrees.