Results 31 to 40 of about 1,671,987 (325)

Some Milne’s rule type inequalities in quantum calculus

open access: yesFilomat, 2023
The main goal of the current study is to establish some new Milne?s rule type inequalities for single-time differentiable convex functions in the setting of quantum calculus.
I. Sial, H. Budak, Muhammad Ali
semanticscholar   +1 more source

Solution to Laplace’s Equation Using Quantum Calculus

open access: yesInternational Journal of Engineering Technology and Management Sciences, 2023
The quantum calculus emerged as a new type of unconventional calculus relevant to both mathematics and physics. The study of quantum calculus or q-calculus has three hundred years of history of development since the era of Euler and Bernoulli, and was ...
Pintu Bhattacharya, Ravi Ranjan
semanticscholar   +1 more source

Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus [PDF]

open access: yesElectronic 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
doaj   +1 more source

Simpson's and Newton's Type Inequalities for (α, m)-Convex Functions via Quantum Calculus

open access: yesSymmetry, 2022
In this paper, we give the generalized version of the quantum Simpson’s and quantum Newton’s formula type inequalities via quantum differentiable α,m-convex functions.
Jarunee Soontharanon   +4 more
semanticscholar   +1 more source

Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions

open access: yesSymmetry, 2022
In the past few years, many scholars gave much attention to the use of q-calculus in geometric functions theory, and they defined new subclasses of analytic and harmonic functions.
Mohammad Faisal Khan   +4 more
semanticscholar   +1 more source

Quantum calculus of Fibonacci divisors and infinite hierarchy of Bosonic–Fermionic Golden quantum oscillators [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics (IJGMMP), 2020
Starting from divisibility problem for Fibonacci numbers, we introduce Fibonacci divisors, related hierarchy of Golden derivatives in powers of the Golden Ratio and develop corresponding quantum calculus.
O. Pashaev
semanticscholar   +1 more source

The ZX-calculus is complete for the single-qubit Clifford+T group [PDF]

open access: yesElectronic 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
doaj   +1 more source

Symmetric Difference Operator in Quantum Calculus

open access: yesSymmetry, 2022
The main focus of this paper is to develop certain types of fundamental theorems using q, q(α), and h difference operators. For several higher order difference equations, we get two forms of solutions: one is closed form and another is summation form ...
Weidong Zhao   +5 more
semanticscholar   +1 more source

On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus

open access: yes, 2021
Quantum calculus (also known as the q-calculus) is a technique that is similar to traditional calculus, but focuses on the concept of deriving q-analogous results without the use of the limits.
Gul Sana   +4 more
semanticscholar   +1 more source

Cutting multi-control quantum gates with ZX calculus [PDF]

open access: yesQuantum, 2023
Circuit cutting, the decomposition of a quantum circuit into independent partitions, has become a promising avenue towards experiments with larger quantum circuits in the noisy-intermediate scale quantum (NISQ) era. While previous work focused on cutting
Christian Ufrecht   +5 more
semanticscholar   +1 more source

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