Results 11 to 20 of about 1,414,924 (189)
Quantum Algebras and Integrable Boundaries in AdS/CFT [PDF]
, 2012 This thesis studies quantum integrable structures such as Yangians and quantum affine algebras that arise in and are inspired by the AdS/CFT duality, with a primary emphasis on the exploration of integrable boundaries deeply hidden in the duality.
Regelskis, Vidas
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Generalised Onsager Algebra in Quantum Lattice Models
SciPost Physics, 2022 The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph Temperley-Lieb algebra, and a generalisation of the Onsager ...
Yuan Miao
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The group structure of dynamical transformations between quantum reference frames [PDF]
Quantum, 2021 Recently, it was shown that when reference frames are associated to quantum systems, the transformation laws between such quantum reference frames need to be modified to take into account the quantum and dynamical features of the reference frames.
Angel Ballesteros +2 more
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Quantum Implication Algebras [PDF]
International Journal of Theoretical Physics, 2003 19 pages, 1 figure, 3 tables; To be published in International Journal of Theoretical Physics, Vol. 42, No.
Megill, Norman D., Pavičić, Mladen
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Wavelets and quantum algebras [PDF]
Journal of Mathematical Physics, 1998 Wavelets, known to be useful in nonlinear multiscale processes and in multiresolution analysis, are shown to have a q-deformed algebraic structure. The translation and dilation operators associate to any scaling equation a nonlinear, two parameter algebra. This structure can be mapped onto the quantum group slq(2) in one limit, and approaches a Fourier
Ludu, A., Greiner, M., Draayer, J. P.
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Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells : the finite-type cases [PDF]
, 2010 We exhibit quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells, as well as on , and . These cases are precisely those where the quantum cluster algebra is of finite type, and the structures we describe quantize ...
Launois, Stéphane +3 more
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On the structure of quantum L∞ algebras
Journal of High Energy Physics, 2017 It is believed that any classical gauge symmetry gives rise to an L∞ algebra. Based on the recently realized relation between classical W $$ \mathcal{W} $$ algebras and L∞ algebras, we analyze how this generalizes to the quantum case.
Ralph Blumenhagen +2 more
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Unordered Tuples in Quantum Computation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
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Model-Theoretic Investigations into Consequence Operation (Cn) in Quantum Logics: An Algebraic Approach. [PDF]
, 2006 In this paper, we present the fundamentals of the so-called algebraic approach to propositional quantum logics. We define the set of formulae describing quantum reality as a free algebra freely generated by the set of quantum proportional variables.
WILCZEK, Piotr, Piotr Wilczek
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Quantum z-algebras and representations of quantum affine algebras [PDF]
Communications in Algebra, 2000 16 pages ...
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