Results 51 to 60 of about 14,863,289 (377)
, 2008 The Ahtekar-Isham C*-algebra known from Loop Quantum Gravity is the algebra of continuous functions on the space of (generalized) connections with a compact structure Lie group.
Andrzej Okołów +4 more
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Quantum group covariant systems
, 1995 The meaning of quantum group transformation properties is discussed in some detail by comparing the (co)actions of the quantum group with those of the corresponding Lie group, both of which have the same algebraic (matrix) form of the transformation ...
Chaichian, M., Kulish, P. P.
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, 2006 Contribution to the Encyclopedia of Mathematical ...
Delius, G. W., MacKay, N. J.
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ALGEBRAIC QUANTUM PERMUTATION GROUPS [PDF]
Asian-European Journal of Mathematics, 2008 We discuss some algebraic aspects of quantum permutation groups, working over arbitrary fields. If 𝕂 is any characteristic zero field, we show that there exists a universal cosemisimple Hopf algebra coacting on the diagonal algebra 𝕂n: this is a refinement of Wang's universality theorem for the (compact) quantum permutation group.
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Landau Levels and Quantum Group [PDF]
, 1993 We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the quantum algebra is composed of wavefunctions of the system.
Sato, H. -T.
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Scientific Reports, 2023 We address the problem of testing the quantumness of two-dimensional systems in the prepare-and-measure (PM) scenario, using a large number of preparations and a large number of measurement settings, with binary outcome measurements. In this scenario, we
Péter Diviánszky +3 more
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The free wreath product of a compact quantum group by a quantum automorphism group [PDF]
, 2016 Let $\mathbb{G}$ be a compact quantum group and $\mathbb{G}^{aut}(B,\psi)$ be the quantum automorphism group of a finite dimensional C*-algebra $(B,\psi)$.
Fima, Pierre, Pittau, Lorenzo
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Quantum isometry groups of noncommutative manifolds associated to group C*-algebras
, 2010 Let G be a finitely generated discrete group. The standard spectral triple on the group C*-algebra C*(G) is shown to admit the quantum group of orientation preserving isometries. This leads to new examples of compact quantum groups.
Adam Skalski +22 more
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The intertwiner spaces of non-easy group-theoretical quantum groups
, 2020 In 2015, Raum and Weber gave a definition of group-theoretical quantum groups, a class of compact matrix quantum groups with a certain presentation as semi-direct product quantum groups, and studied the case of easy quantum groups.
Maassen, Laura
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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems [PDF]
, 2008 This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.
F. Verstraete, V. Murg, J. Cirac
semanticscholar +1 more source