Yang-Baxterization of braid group representations
نویسندگان
چکیده
منابع مشابه
Yang–Baxterization and Hamiltonian
It is fundamental to view unitary braiding operators describing topological entanglements as universal quantum gates for quantum computation. This paper derives the unitary solution of the Quantum Yang–Baxter equation via Yang–Baxterization and constructs the Hamiltonian responsible for the timeevolution of the unitary braiding operator.
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متن کاملYang-Baxterization of the BH algebra.
The BH n (l; m) algebra is deened by two sets of generators one of which satisfy the relations of the braid group and the other the relations of the Hecke algebra of projectors.These algebras are then combined by additional relations in a way which generalize the Birman-Wenzl algebra C n (l; m). In this paper we Yang-Baxterize the algebra BH and compute solutions of the Yang-Baxter equation.The...
متن کاملUniversal Quantum Gate , Yang – Baxterization and Hamiltonian
It is fundamental to view unitary braiding operators describing topological entangle-ments as universal quantum gates for quantum computation. This paper derives a unitary solution of the quantum Yang–Baxter equation via Yang–Baxterization and constructs the Hamiltonian responsible for the time-evolution of the unitary braiding operator.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1991
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02096797