Results 51 to 60 of about 81,951 (325)
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
Quantum Behavior Arises Because Our Universe is a Fractal [PDF]
To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-local property of the fractal curve [Y. Tao, J. Appl. Math. 2013 (2013) 308691]. This study demonstrates that if the dimension of time axis is slightly less than
Yong Tao
doaj +1 more source
Deformation of quantum mechanics in fractional-dimensional space [PDF]
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
The lambda calculus, developed in the 1930’s by Church and Curry, is a formalism for expressing higher-order functions. In a nutshell, a higher-order function is a function that inputs or outputs a “black box”, which is itself a (possibly higher-order) function. Higher-order functions are a computationally powerful tool. Indeed, the pure untyped lambda
Peter Selinger, Benoît Valiron
openaire +2 more sources
An application of neutrix calculus to quantum field theory [PDF]
Neutrices are additive groups of negligible functions that do not contain any constants except 0. Their calculus was developed by van der Corput and Hadamard in connection with asymptotic series and divergent integrals.
Ng, Y. Jack, van Dam, H.
core +3 more sources
Geometry of Quantum Principal Bundles I
A theory of principal bundles possessing quantum structure groups and classical base manifolds is presented. Structural analysis of such quantum principal bundles is performed.
M. Daniel+8 more
core +1 more source
In human monocytic cells THP‐1, a limited uptake of native—not oxidized—LDL/VLDL induced expression of scavenger receptor A and cellular adhesion. Induction was inhibited by lysosomotropic (WR‐1065) and lipophilic (BHT) antioxidants and by siRNAs against ferritinophagy.
Martina Čierna+4 more
wiley +1 more source
Trichromatic Open Digraphs for Understanding Qubits [PDF]
We introduce a trichromatic graphical calculus for quantum computing. The generators represent three complementary observables that are treated on equal footing, hence reflecting the symmetries of the Bloch sphere. We derive the Euler angle decomposition
Alex Lang, Bob Coecke
doaj +1 more source
Invariance quantum groups of the deformed oscillator algebra
A differential calculus is set up on a deformation of the oscillator algebra. It is uniquely determined by the requirement of invariance under a seven-dimensional quantum group. The quantum space and its associated differential calculus are also shown to
Bernard D+10 more
core +1 more source
The Regulation of Trace Metal Elements in Cancer Ferroptosis
The induction of ferroptosis inhibits tumor growth, enhances anticancer efficacy, and overcomes drug resistance. Recent evidence shows nonferrous metal elements play a role in ferroptosis. This review focuses on how trace metals regulate ferroptosis processes like iron accumulation, lipid peroxidation, and antioxidant defense.
Xiaoyan Wang+5 more
wiley +1 more source