Quantum Register Algebra: the mathematical language for quantum computing
Quantum Information Processing, 2023 11 ...
Jaroslav Hrdina +7 more
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Algebraic quantum codes: linking quantum mechanics and discrete mathematics [PDF]
International Journal of Computer Mathematics: Computer Systems Theory, 2020 19 pages; written for both mathematicians and ...
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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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Intuitionistic quantum logic of an n-level system [PDF]
, 2009 A decade ago, Isham and Butterfield proposed a topos theoretic approach to quantum mechanics, which meanwhile has been extended by Doering and Isham so as to provide a new mathematical foundation for all of physics.
Landsman, N.P. +19 more
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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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Twisted Poincare duality for some quadratic Poisson algebras [PDF]
, 2007 We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space.
Stéphane Launois +3 more
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Quantum stochastic convolution cocycles III [PDF]
, 2011 The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G. +3 more
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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Hypercomplex Algebras and their application to the mathematical formulation of Quantum Theory
, 2014 Quantum theory (QT), namely in terms of Schrödinger's 1926 wave functions in general requires complex numbers to be formulated. However, it soon turned out to even require some hypercomplex algebra. Incorporating Special Relativity leads to an equation (Dirac 1928) requiring pairwise anti-commuting coefficients, usually $4\times 4$ matrices.
Hertig, Torsten +2 more
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Maps on density operators preserving quantum f-divergences [PDF]
, 2013 For an arbitrary strictly convex function f defined on the non-negative real line we determine the structure of all transformations on the set of density operators which preserve the quantum f ...
Szokol, Patrícia Ágnes +2 more
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