Experimental realization of the Yang-Baxter Equation via NMR interferometry
نویسندگان
چکیده
منابع مشابه
Experimental realization of the Yang-Baxter Equation via NMR interferometry.
The Yang-Baxter equation is an important tool in theoretical physics, with many applications in different domains that span from condensed matter to string theory. Recently, the interest on the equation has increased due to its connection to quantum information processing. It has been shown that the Yang-Baxter equation is closely related to quantum entanglement and quantum computation. Therefo...
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Set-theoretic solutions of the Yang–Baxter equation form a meetingground of mathematical physics, algebra and combinatorics. Such a solution consists of a set X and a function r : X ×X → X ×X which satisfies the braid relation. We examine solutions here mainly from the point of view of finite permutation groups: a solution gives rise to a map from X to the symmetric group Sym(X) on X satisfying...
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This talk is inspired by two previous ICM talks, by V. Drinfeld (1986), and G.Felder (1994). Namely, one of the main ideas of Drinfeld’s talk is that the quantum Yang-Baxter equation, which is an important equation arising in quantum field theory and statistical mechanics, is best understood within the framework of Hopf algebras, or quantum groups. On the other hand, in Felder’s talk, it is exp...
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Because of this, a solution of (1) gives rise to a linear representation of the braid group Bn on V⊗n for every n. In [D], Drinfel’d raised the question of finding set-theoretical solutions of the YangBaxter equation. Specifically, we consider a set S and an invertible map R : S×S → S×S. We think of the Yang-Baxter equation (1) as an equality of maps from S×S×S to S×S×S. As in the linear case, ...
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We investigate certain bases of Hecke algebras deened by means of the Yang-Baxter equation, which we call Yang-Baxter bases. These bases are essentially self-adjoint with respect to a canonical bilinear form. In the case of the degenerate Hecke algebra, we identify the coeecients in the expansion of the Yang-Baxter basis on the usual basis of the algebra with specializations of double Schubert ...
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ژورنال
عنوان ژورنال: Scientific Reports
سال: 2016
ISSN: 2045-2322
DOI: 10.1038/srep20789