braid theory

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  • Info In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations. more...
  • Braid theory has recently been applied to fluid mechanics, specifically to the field of chaotic mixing in fluid flows.
  • This is outlined in the article on braid theory.
  • Braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations.
  • Since the world lines form a mathematical braid, braid theory, a related field to knot theory, is used in studying the properties of such a computer, called a topological quantum computer.
  • Alexander's theorem in braid theory states that the converse is true as well: every knot and every link arises in this fashion from at least one braid; such a braid can be obtained by cutting the link.
  • A very different approach to the stability-decoherence problem in quantum computing is to create a topological quantum computer with anyons, quasi-particles used as threads and relying on braid theory to form stable logic gates.
  • While (1-dimensional) links are defined as embeddings of circles, it is often interesting and especially technically useful to consider embedded intervals (strands), as in braid theory.
  • Joan Sylvia Lyttle Birman (May 30, 1927) is an American mathematician, specializing in braid theory and knot theory.