Topological quantum computer - Wikipedia
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).
Topological quantum computation stands uniquely at the interface of quantum topology, quantum physics, and quantum computing, enriching all three subjects with new problems.
Non-Abelian anyons and topological quantum computation
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.
A Short Introduction to Topological Quantum Computation
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.
Quantum Information is encoded in nonlocal topological degrees of freedom that do not couple to any local quantity. States can be manipulated by dragging (braiding) quasiparticles around each other. The operations (gates) performed on the qubits depends only on the topology of the braids.
Topological Quantum Computation—From Basic Concepts to …
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.
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.
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.
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.
Introduction to Topological Quantum Computation
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.
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