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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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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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On Quantum Statistical Mechanics: A Study Guide
Advances in Mathematical Physics, 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum
Wladyslaw Adam Majewski
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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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AKLT-States as ZX-Diagrams: Diagrammatic Reasoning for Quantum States
PRX Quantum, 2022 From Feynman diagrams to tensor networks, diagrammatic representations of computations in quantum mechanics have catalyzed progress in physics. These diagrams represent the underlying mathematical operations and aid physical interpretation, but cannot ...
Richard D.P. East +3 more
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The ZX-calculus is complete for stabilizer quantum mechanics
New Journal of Physics, 2014 The ZX-calculus is a graphical calculus for reasoning about quantum systems and processes. It is known to be universal for pure state qubit quantum mechanics (QM), meaning any pure state, unitary operation and post-selected pure projective measurement ...
Miriam Backens
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Al-Jabar, 2016 This study was conducted to improve the mastery of student concepts on calculus materials using Quantum Learning method, this research is motivated because the learning of calculus has not seen any mastery of concept implemented during learning ...
Satrio Wicaksono Sudarman, Ira Vahlia
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