Results 31 to 40 of about 1,202,123 (248)
New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions [PDF]
Sahand Communications in Mathematical AnalysisThe main objective of this paper is to establish some new inequalities related to the open Newton-Cotes formulas in the setting of q-calculus. We establish a quantum integral identity first and then prove the desired inequalities for $q$-differentiable ...
Jarunee Soontharanon +4 more
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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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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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Al-Jabar, 2016 This study was conducted to improve the mastery of student concepts on calculus materials using Quantum Learning method, this research is motivated because the learning of calculus has not seen any mastery of concept implemented during learning ...
Satrio Wicaksono Sudarman, Ira Vahlia
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The Falling Body Problem in Quantum Calculus
Frontiers in Physics, 2020 The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first ...
Abdulaziz M. Alanazi +3 more
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Pivoting makes the ZX-calculus complete for real stabilizers [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We show that pivoting property of graph states cannot be derived from the axioms of the ZX-calculus, and that pivoting does not imply local complementation of graph states.
Ross Duncan, Simon Perdrix
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Fundamentals of Right Hahn q-Symmetric Calculus and Related Inequalities
Journal of Function SpacesHahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite ...
Muhammad Nasim Aftab +2 more
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A ZX-Calculus with Triangles for Toffoli-Hadamard, Clifford+T, and Beyond [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We consider a ZX-calculus augmented with triangle nodes which is well-suited to reason on the so-called Toffoli-Hadamard fragment of quantum mechanics. We precisely show the form of the matrices it represents, and we provide an axiomatisation which makes
Renaud Vilmart
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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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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