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...

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

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

statistical physics, stochastic differential equations (SDE), topological field theories, and the theory of pseudo-Hermitian operators. It can be seen as an algebraic...

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

dependence. Loop quantum gravity is the fruit of an effort to formulate a background-independent quantum theory. Topological quantum field theory provided an...

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

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

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

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

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

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

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

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

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...

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

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

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

quantum entanglement. Topological quantum field theory Reshetikhin–Turaev invariant Kauffman, Louis H.; Baadhio, Randy A. (1993). Quantum Topology. River Edge...

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

due to connections to topological quantum field theory. A finite-dimensional, unital, associative algebra A defined over a field k is said to be a Frobenius...

abstract equivalence of topological quantum computation with the quantum circuit model. The implication of these works for topological phases is that the Fibonacci...

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...

the Fenchel-Nielsen coordinates on Teichmüller space, and in topological quantum field theory where they are the simplest non-trivial cobordisms between...

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...

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