Results 11 to 20 of about 84,859 (325)
Symmetric Quantum Calculus [PDF]
, 2013 We generalize the Hahn variational calculus by studying problems of the calculus of variations with higher-order derivatives. The symmetric quantum calculus is studied, namely the alpha,beta-symmetric, the q-symmetric, and the Hahn symmetric quantum calculus.
Artur M. C. Brito da Cruz
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Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood +2 more
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Application of Quantum Process Calculus to Higher Dimensional Quantum Protocols [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science.
Simon J. Gay, Ittoop Vergheese Puthoor
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Novel higher order iterative schemes based on the q−Calculus for solving nonlinear equations
AIMS Mathematics, 2022 The conventional infinitesimal calculus that concentrates on the idea of navigating the q−symmetrical outcomes free from the limits is known as Quantum calculus (or q−calculus). It focuses on the logical rationalization of differentiation and integration
Gul Sana +2 more
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Quantum Control in the Unitary Sphere: Lambda-S1 and its Categorical Model [PDF]
Logical Methods in Computer Science, 2022 In a recent paper, a realizability technique has been used to give a semantics of a quantum lambda calculus. Such a technique gives rise to an infinite number of valid typing rules, without giving preference to any subset of those.
Alejandro Díaz-Caro, Octavio Malherbe
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Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Quantum entanglement is a key resource in many quantum protocols, such as quantum teleportation and quantum cryptography. Yet entanglement makes protocols presented in Dirac notation difficult to verify.
Anne Hillebrand
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The ZX-calculus is complete for the single-qubit Clifford+T group [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The ZX-calculus is a graphical calculus for reasoning about pure state qubit quantum mechanics. It is complete for pure qubit stabilizer quantum mechanics, meaning any equality involving only stabilizer operations that can be derived using matrices can ...
Miriam Backens
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Spikes in quantum Regge calculus [PDF]
Classical and Quantum Gravity, 1997 We demonstrate by explicit calculation of the DeWitt-like measure in two-dimensional quantum Regge gravity that it is highly non-local and that the average values of link lengths $l, $, do not exist for sufficient high powers of $n$. Thus the concept of length has no natural definition in this formalism and a generic manifold degenerates into spikes ...
Ambjørn, Jan +3 more
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Making the stabilizer ZX-calculus complete for scalars [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 The ZX-calculus is a graphical language for quantum processes with built-in rewrite rules. The rewrite rules allow equalities to be derived entirely graphically, leading to the question of completeness: can any equality that is derivable using matrices ...
Miriam Backens
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