Results 41 to 50 of about 84,859 (325)
AKLT-States as ZX-Diagrams: Diagrammatic Reasoning for Quantum States
PRX Quantum, 2022 From Feynman diagrams to tensor networks, diagrammatic representations of computations in quantum mechanics have catalyzed progress in physics. These diagrams represent the underlying mathematical operations and aid physical interpretation, but cannot ...
Richard D.P. East +3 more
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A Complete Axiomatisation of the ZX-Calculus for Clifford+T Quantum Mechanics [PDF]
, 2018 We introduce the first complete and approximatively universal diagrammatic language for quantum mechanics. We make the ZX-Calculus, a diagrammatic language introduced by Coecke and Duncan, complete for the so-called Clifford+T quantum mechanics by adding
Jeandel, Emmanuel +2 more
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Advances in Mathematics, 1997 20 pages (LaTeX). To appear in Advances in Mathematics. The quantum Pieri formula in the original version has been corrected (see also alg-geom/9705024), and the Title has been ``quantized''
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Tauberian Theorems In Quantum Calculus
Journal of Nonlinear Mathematical Physics, 2007 A \(q\)-integral \(\int_0^\infty a(t)\,d_qt\) is called summable (A) to the value \(S\) if the \(q\)-Laplace integral \(f(x)=\int_0^\infty e_q^{-xt} a(t)\,d_qt\) converges for every \(x>0\) and \(\lim_{x\rightarrow 0^+} f(x)=S\). The authors study summability of \(q\)-integrals and prove some related Tauberian theorems.
Fitouhi, Ahmed, Brahim, Kamel
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The ZX-calculus is complete for stabilizer quantum mechanics
New Journal of Physics, 2014 The ZX-calculus is a graphical calculus for reasoning about quantum systems and processes. It is known to be universal for pure state qubit quantum mechanics (QM), meaning any pure state, unitary operation and post-selected pure projective measurement ...
Miriam Backens
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Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning [PDF]
QuantumZX-calculus has proved to be a useful tool for quantum technology with a wide range of successful applications. Most of these applications are of an algebraic nature.
Quanlong Wang, Richie Yeung, Mark Koch
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Geometry of Quantum Principal Bundles I
, 1995 A theory of principal bundles possessing quantum structure groups and classical base manifolds is presented. Structural analysis of such quantum principal bundles is performed.
M. Daniel +8 more
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A Stochastic Fractional Calculus with Applications to Variational Principles
Fractal and Fractional, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
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Wavelet Transforms in Quantum Calculus
Journal of Nonlinear Mathematical Physics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fitouhi, Ahmed, Bettaibi, Néji
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Quantum and braided ZX calculus*
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract We apply quantum group methods to quantum computing, starting with the notion of interacting Frobenius Hopf algebras for ZX calculus with noncommutative algebra and noncocommutative coalgebra. We introduce the notion of *-structures in ZX calculus at this algebraic level and construct examples based on the quantum group u
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