Results 21 to 30 of about 85,059 (277)

Verification of Linear Optical Quantum Computing using Quantum Process Calculus [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
We explain the use of quantum process calculus to describe and analyse linear optical quantum computing (LOQC). The main idea is to define two processes, one modelling a linear optical system and the other expressing a specification, and prove that they ...
Sonja Franke-Arnold   +2 more
doaj   +1 more source

A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences

open access: yesJournal of Inequalities and Applications, 2016
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci   +3 more
doaj   +1 more source

Ostrowski Type Inequalities for s-Convex Functions via q-Integrals

open access: yesJournal of Function Spaces, 2022
The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan   +4 more
doaj   +1 more source

Deformation of quantum mechanics in fractional-dimensional space [PDF]

open access: yes, 2001
A new kind of deformed calculus (the D-deformed calculus) that takes place in fractional-dimensional spaces is presented. The D-deformed calculus is shown to be an appropriate tool for treating fractional-dimensional systems in a simple way and quite ...
A Matos-Abiague   +13 more
core   +2 more sources

Towards a Minimal Stabilizer ZX-calculus [PDF]

open access: yesLogical Methods in Computer Science, 2020
The stabilizer ZX-calculus is a rigorous graphical language for reasoning about quantum mechanics. The language is sound and complete: one can transform a stabilizer ZX-diagram into another one using the graphical rewrite rules if and only if these two ...
Miriam Backens   +2 more
doaj   +1 more source

A Complete Axiomatisation of the ZX-Calculus for Clifford+T Quantum Mechanics [PDF]

open access: yes, 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
core   +5 more sources

Itô Calculus and Quantum White Noise Calculus [PDF]

open access: yes, 2007
Ito calculus has been generalized in white noise analysis and in quantum stochastic calculus. Quantum white noise calculus is a third generalization, unifying the two above mentioned ones and bringing some unexpected insight into some old problems studied in different fields, such as the renormalization problem in physics and the representation theory ...
ACCARDI, LUIGI, Boukas, A.
openaire   +2 more sources

Quantum Calculus

open access: yesThe Journal of King Mongkut's University of Technology North Bangkok, 2020
The radioactive decay law was first formulated by Ernest Rutherford and Frederick Soddy in 1902. As a well-known law, one of its primary applications is to determine the date of ancient specimens. The pro- cess is known as radiocarbon dating and is subjected to the known properties of radioactive nuclei.
openaire   +2 more sources

Analysis of a Quantum Error Correcting Code using Quantum Process Calculus [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
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. The key idea is to define two systems, one modelling a protocol and
Timothy A. S. Davidson   +3 more
doaj   +1 more source

From Fractional Quantum Mechanics to Quantum Cosmology: An Overture

open access: yesMathematics, 2020
Fractional calculus is a couple of centuries old, but its development has been less embraced and it was only within the last century that a program of applications for physics started. Regarding quantum physics, it has been only in the previous decade or
Paulo Vargas Moniz, Shahram Jalalzadeh
doaj   +1 more source

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