Search Results - Operator algebra methods applied to problems in quantum theory

Application of the quantum entropy theoretic methods to homeomorphism problems of operator algebras by Akashi, Shigeo

“…It is shown that Ohya's entropy dimension on a W ∗- dynamical system is time-invariant, and homeomorphism problems of operator algebras equipped with quasi σ…”
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Invariant Subspace Problem in Hilbert Spaces: Exploring Applications in Quantum Mechanics, Control Theory, Operator Algebras, Functional Analysis and Accelerator Physics by Behtouei, Mostafa

“…This paper explores the Invariant Subspace Problem in operator theory and functional analysis, examining its applications in various branches of mathematics and physics…”
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Evolution operator equations: Integration with algebraic and finitedifference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory by Dattoli, G., Ottaviani, P. L., Torre, A., Vázquez, L.

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Operator Scaling: Theory and Applications by Garg, Ankit, Gurvits, Leonid, Oliveira, Rafael, Wigderson, Avi

“… in Comput Complex 26(3):717–763, 2017 ) (whether or not randomization is allowed). The algorithm efficiently solves the “word problem…”
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Quantum entanglement, symmetric nonnegative quadratic polynomials and moment problems by Blekherman, Grigoriy, Madhusudhana, Bharath Hebbe

“…Quantum states are represented by positive semidefinite Hermitian operators with unit trace, known as density matrices…”
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Factorization and Dilation Problems for Completely Positive Maps on von Neumann Algebras by Haagerup, Uffe, Musat, Magdalena

“… T ( t ) fails to be factorizable for all small values of t > 0. As applications, we solve in the negative an open problem in quantum information theory concerning an asymptotic version of the quantum Birkhoff conjecture, as well as we sharpen the existing lower bound estimate for the best constant in the noncommutative little Grothendieck inequality…”
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Semidefinite Approximations of the Matrix Logarithm by Fawzi, Hamza, Saunderson, James, Parrilo, Pablo A.

“… This operator concavity property leads to numerous concavity and convexity results for other matrix functions, many of which are of importance in quantum information theory…”
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The Strong Converse Exponent of Discriminating Infinite-Dimensional Quantum States by Mosonyi, Milán

“…The sandwiched Rényi divergences of two finite-dimensional density operators quantify their asymptotic distinguishability in the strong converse domain…”
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An algebraic approach to the analytic bootstrap by Alday, Luis F., Zhiboedov, Alexander

“…A bstract We develop an algebraic approach to the analytic bootstrap in CFTs. By acting with the Casimir operator on the crossing equation we map the problem…”
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A C-algebraic Approach to Interacting Quantum Field Theories by Buchholz, Detlev, Fredenhagen, Klaus

“…A novel C*-algebraic framework is presented for relativistic quantum field theories, fixed by a Lagrangean…”
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Two-State Quantum Systems Revisited: A Clifford Algebra Approach by Amao, Pedro, Castillo, Hernan

“…We revisit the topic of two-state quantum systems using the Clifford Algebra in three dimensions C l 3…”
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Quantum Geometry on Quantum Spacetime: Distance, Area and Volume Operators by Bahns, D., Doplicher, S., Fredenhagen, K., Piacitelli, G.

“… (Commun Math Phys 172:187–220, 1995 ). The homogeneous elements of the universal differential algebra are naturally identified with operators living in tensor powers of Quantum Spacetime…”
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Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems by Fillion-Gourdeau, F., Lorin, E.

“…This paper is devoted to the derivation of a digital quantum algorithm for the Cauchy problem for symmetric first-order linear hyperbolic systems, thanks to the reservoir technique…”
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Optimization Over Trace Polynomials by Klep, Igor, Magron, Victor, Volčič, Jurij

“…Motivated by recent progress in quantum information theory, this article aims at optimizing trace polynomials, i.e…”
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Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems by Schott, René, Staples, G. Stacey

“… Introduced here is the notion of generalized zeon algebras. Their inherent combinatorial properties make them useful for routing problems by implicitly pruning the underlying tree structures…”
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Hardy–Lieb–Thirring Inequalities for Fractional Pauli Operators by Bley, Gonzalo A., Fournais, Søren

“…We provide lower bounds for the sum of the negative eigenvalues of the operator | σ · p A | 2 s - C s / | x | 2 s + V in three dimensions…”
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Inverse Scattering and Local Observable Algebras in Integrable Quantum Field Theories by Alazzawi, Sabina, Lechner, Gandalf

“…We present a solution method for the inverse scattering problem for integrable two-dimensional relativistic quantum field theories, specified in terms of a given massive single particle spectrum…”
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Relative entropy and the multivariable multidimensional moment problem by Georgiou, T.T.

“…Entropy-like functionals on operator algebras have been studied since the pioneering work of von Neumann, Umegaki, Lindblad, and Lieb…”
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A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems by Erlangga, Y. A., Oosterlee, C. W., Vuik, C.

“…An iterative solution method, in the form of a preconditioner for a Krylov subspace method, is presented for the Helmholtz equation…”
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On matrix elements of the vector physical quantities by Frolov, Alexei M.

“…Methods of angular momenta are modified and used to solve some actual problems in quantum mechanics…”
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