Results 1 to 10 of about 2,937 (208)
Quantum gravity and Regge calculus [PDF]
Nuclear Physics B - Proceedings Supplements, 1997 8 pages, Latex with esprc2.sty, epsf.tex, 3 figures; contribution to the proceedings of the II meeting on Constrained Dynamics and Quantum Gravity, Santa Margherita ...
Giorgio Immirzi
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Quantum stochastic calculus [PDF]
Journal of Soviet Mathematics, 1991 An introduction to quantum stochastic calculus in symmetric Fock spaces from the point of view of the theory of stochastic processes. Among the topics discussed are the quantum Ito formula, applications to probability representation of solutions of differential equations, extensions of dynamical semigroups.
A. S. Kholevo
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A representation free quantum stochastic calculus [PDF]
Journal of Functional Analysis, 1992 AbstractWe develop a representation free stochastic calculus based on three inequalities (semimartingale inequality, scalar forward derivative inequality, scalar conditional variance inequality). We prove that our scheme includes all the previously developed stochastic calculi and some new examples.
Luigi Accardi +2 more
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Equivariant Quantum Schubert Calculus
Advances in Mathematics, 2004 We study the T-equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.
Leonardo C. Mihalcea
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Quantum integrability and generalised quantum Schubert calculus [PDF]
Advances in Mathematics, 2017 57 pages, 10 figures; v2: some references added and some minor changes; v3: abstract shortened, some typos corrected and a discussion of the Bethe roots for the non-equivariant case added; v4: accepted ...
Vassily Gorbounov, Christian Korff
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Quantum Stochastic Calculus and Quantum Gaussian Processes [PDF]
Indian Journal of Pure and Applied Mathematics, 2014 In this lecture we present a brief outline of boson Fock space stochastic calculus based on the creation, conservation and annihilation operators of free field theory, as given in the 1984 paper of Hudson and Parthasarathy. We show how a part of this architecture yields Gaussian fields stationary under a group action.
K. R. Parthasarathy
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Sequent Calculus Representations for Quantum Circuits [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 When considering a sequent-style proof system for quantum programs, there are certain elements of quantum mechanics that we may wish to capture, such as phase, dynamics of unitary transformations, and measurement probabilities. Traditional quantum logics
Cameron Beebe
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ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We present a new graphical calculus that is sound and complete for a universal family of quantum circuits, which can be seen as the natural string-diagrammatic extension of the approximately (real-valued) universal family of Hadamard+CCZ circuits.
Miriam Backens, Aleks Kissinger
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Positivity in equivariant quantum Schubert Calculus
American Journal of Mathematics, 2004 A conjecture of D. Peterson, proved by W. Graham, states that the structure constants of the ( T -)equivariant cohomology of a homogeneous space G/P satisfy a certain positivity property. In this paper we show that this positivity property holds in the more general situation of equivariant quantum cohomology.
Leonardo C. Mihalcea
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The calculus of variations and the quantum theory [PDF]
Bulletin of the American Mathematical Society, 1932 Gilbert Ames Bliss
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