Results 31 to 40 of about 1,144,070 (196)
The Falling Body Problem in Quantum Calculus
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
doaj +1 more source
Pivoting makes the ZX-calculus complete for real stabilizers [PDF]
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
doaj +1 more source
Quantum stochastic convolution cocycles II [PDF]
Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
core +4 more sources
A ZX-Calculus with Triangles for Toffoli-Hadamard, Clifford+T, and Beyond [PDF]
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
doaj +1 more source
Generalized Flow and Determinism in Measurement-based Quantum Computation [PDF]
We extend the notion of quantum information flow defined by Danos and Kashefi for the one-way model and present a necessary and sufficient condition for the deterministic computation in this model.
Kashefi, E. +3 more
core +1 more source
Fundamentals of Right Hahn q-Symmetric Calculus and Related Inequalities
Hahn 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
doaj +1 more source
Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning [PDF]
ZX-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
doaj +1 more source
A Stochastic Fractional Calculus with Applications to Variational Principles
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
doaj +1 more source
Reconstructing enzyme evolution by protein engineering
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
wiley +1 more source
Emerging experimental and computational methods for studying redox‐regulated structural transitions
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
wiley +1 more source

