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Verification of Linear Optical Quantum Computing using Quantum Process Calculus [PDF]
Electronic 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
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A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences
Journal 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
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal 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
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Deformation of quantum mechanics in fractional-dimensional space [PDF]
, 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
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Itô Calculus and Quantum White Noise Calculus [PDF]
, 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.
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Generalised Compositional Theories and Diagrammatic Reasoning [PDF]
, 2015 This chapter provides an introduction to the use of diagrammatic language, or perhaps more accurately, diagrammatic calculus, in quantum information and quantum foundations.
A Barenco +17 more
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Towards a Minimal Stabilizer ZX-calculus [PDF]
Logical 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
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Analysis of a Quantum Error Correcting Code using Quantum Process Calculus [PDF]
Electronic 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
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The 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.
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From Fractional Quantum Mechanics to Quantum Cosmology: An Overture
Mathematics, 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
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