Results 31 to 40 of about 244,255 (319)
Quantum SU(2) and the Baum-Connes conjecture [PDF]
, 2012 We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix ...
Voigt, Christian
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Entanglement and quantum groups [PDF]
Journal of Mathematical Physics, 2009 We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.
Korbicz, J. K., Wehr, J., Lewenstein, M.
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Finite quantum groups and quantum permutation groups
Advances in Mathematics, 2012 latex, 17 ...
Banica, Teodor +2 more
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One-Sided Quantum Quasigroups and Loops
Demonstratio Mathematica, 2015 Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual.
Smith J. D. H.
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UNIVERSAL QUANTUM GROUPS [PDF]
International Journal of Mathematics, 1996 For each invertible m×m matrix Q a compact matrix quantum group Au(Q) is constructed. These quantum groups are shown to be universal in the sense that any compact matrix quantum group is a quantum subgroup of some of them. Their orthogonal version Ao(Q) is also constructed. Finally, we discuss related constructions in the literature.
Van Daele, Alfons, Wang, Shuzhou
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A characterization of quantum groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension, which are domains, whose groups of group-like elements are finitely generated and abelian, and whose infinitesimal braidings are positive.
Andruskiewitsch, Nicolás +1 more
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Quantum Quasigroups and the Quantum Yang–Baxter Equation
Axioms, 2016 Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. They also have one-sided analogues, which are not self-dual.
Jonathan Smith
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Integrating quantum processor device and control optimization in a gradient-based framework
npj Quantum Information, 2022 In a quantum processor, the device design and external controls together contribute to the quality of the target quantum operations. As we continuously seek better alternative qubit platforms, we explore the increasingly large device and control design ...
Xiaotong Ni +4 more
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Group Structural Realism [PDF]
, 2009 We present a precise form of structural realism, called 'group structural realism,' which identifies 'structure' in quantum theory with symmetry groups.
Roberts, Bryan W., Bryan W. Roberts
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The first Hochschild cohomology group of quantum matrices and the quantum special linear group [PDF]
, 2007 We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear group and the quantum special linear group in the generic case when the deformation parameter is not a root of unity. As a corollary, we obtain information
Lenagan, T.H., Launois, Stephane
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