In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes...

physics, quantum field theory (QFT) is a theoretical framework that combines field theory and the principle of relativity with ideas behind quantum mechanics...

The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type. It was discovered first by mathematical physicist Albert Schwarz...

idea of topological quantum field theory. There are two main versions of topological string theory: the topological A-model and the topological B-model...

suggest a quantum information origin of elementary particles; (4) topological entanglement entropy that reveals the entanglement origin of topological order...

theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor emeritus...

theory of quantum gravity. General relativity History of quantum field theory Local quantum field theory Statistical field theory Topological quantum...

values, due to topological considerations. Most commonly, topological quantum numbers are topological invariants associated with topological defects or soliton-type...

intersection of dynamical systems theory, topological field theories, stochastic differential equations (SDE), and the theory of pseudo-Hermitian operators. It...

The algebraic theory of topological quantum information is a collection of algebraic techniques developed and applied to topological aspects of condensed...

category that plays a role in the areas of topological quantum field theory, conformal field theory, and quantum algebra. Modular tensor categories were...

A topological quantum computer is a type of quantum computer. It utilizes anyons, a type of quasiparticle that occurs in two-dimensional systems. The...

entirely on braiding and performing topological charge measurements, and hence form a natural setting for topological quantum computing. This is in contrast...

could have potential application to making topological qubits, and eventually large-scale topological quantum computers.[unreliable source?] In its February...

multi-body physics. A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological invariants. Although...

contemporary physics may appear, such as topological quantum field theory, which can be used to compute topological invariants of smooth spaces. Famous theorems...

In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in...

intrinsic topological insulator behavior in actual experiments. Topological order Topological quantum computer Topological quantum field theory Topological quantum...

quantum field theories. The first few sections are organized according to their matter content, that is, the types of fields appearing in the theory....

phase estimation, the quantum Fourier transform, quantum walks, amplitude amplification and topological quantum field theory. Quantum algorithms may also...

model or BF theory is a topological field, which when quantized, becomes a topological quantum field theory. BF stands for background field B and F, as...

models of statistical mechanics and topological quantum field theory such as the Turaeev–Viro model of 3D quantum gravity, and also to the Regge calculus...

topological order, Wang has also worked in the theory of three dimensional topological quantum field theory. Here he is most well known introducing the Walker-Wang...

and James Dolan, concerns the classification of extended topological quantum field theories (TQFTs). In 2008, Jacob Lurie outlined a proof of the cobordism...

four-dimensional Chern–Simons theory, also known as semi-holomorphic or semi-topological Chern–Simons theory, is a quantum field theory initially defined by Nikita...

mathematics research, such as the McKay correspondence, topological quantum field theory, and the theory of stability conditions. At the same time, basic questions...

Schwarz formulated Chern–Simons theory, early topological quantum field theory, using Chern-Simons forms. In the gauge theory, the integral of Chern-Simons...

the study of topological quantum field theory. After the discovery of the power of gauge theory to define invariants of manifolds, the field of mathematical...

can be applied directly to its quantum equivalent.[citation needed] The correlation functions of a statistical field theory are called Schwinger functions...

physical field. According to quantum field theory, particles are themselves the quanta of fields. Different fields in physics include vector fields such as...