Results 41 to 50 of about 85,887 (322)
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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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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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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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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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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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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Sequent Calculus Representations for Quantum Circuits [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 When considering a sequent-style proof system for quantum programs, there are certain elements of quantum mechanics that we may wish to capture, such as phase, dynamics of unitary transformations, and measurement probabilities. Traditional quantum logics
Cameron Beebe
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General Non-Markovian Quantum Dynamics
Entropy, 2021 A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Vasily E. Tarasov
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ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We present a new graphical calculus that is sound and complete for a universal family of quantum circuits, which can be seen as the natural string-diagrammatic extension of the approximately (real-valued) universal family of Hadamard+CCZ circuits.
Miriam Backens, Aleks Kissinger
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New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions [PDF]
Sahand Communications in Mathematical AnalysisThe main objective of this paper is to establish some new inequalities related to the open Newton-Cotes formulas in the setting of q-calculus. We establish a quantum integral identity first and then prove the desired inequalities for $q$-differentiable ...
Jarunee Soontharanon +4 more
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