Neutrosophic Logic Based Quantum Computing

Neutrosophic Logic Based Quantum Computing
Author: Ahmet Çevik
Publisher: Infinite Study
Total Pages: 11
Release:
Genre: Mathematics
ISBN:
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We introduce refined concepts for neutrosophic quantum computing such as neutrosophic quantum states and transformation gates, neutrosophic Hadamard matrix, coherent and decoherent superposition states, entanglement and measurement notions based on neutrosophic quantum states. We also give some observations using these principles. We present a number of quantum computational matrix transformations based on neutrosophic logic and clarify quantum mechanical notions relying on neutrosophic states. The paper is intended to extend the work of Smarandache by introducing a mathematical framework for neutrosophic quantum computing and presenting some results.

Unveiling Quantum Communication: From Bell's Inequality to Neutrosophic Logic

Unveiling Quantum Communication: From Bell's Inequality to Neutrosophic Logic
Author: Victor Christianto
Publisher: Infinite Study
Total Pages: 6
Release: 2024-01-01
Genre: Science
ISBN:
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In this mini-review, we delve into the intriguing realm of quantum communication, spurred by China's recent development of the Tiantong communication satellite. This satellite, shrouded in secrecy, hints at a revolutionary approach to communication that transcends the limitations of conventional signal transmission. We explore the foundational concepts of Bell's inequality and neutrosophic logic, elucidating their roles in understanding the non-local phenomena of quantum entanglement and its potential for secure and rapid communication. Additionally, we examine the connection between Bell's inequality and Shannon information entropy, unveiling the intricate relationship between quantum mechanics and information theory. Through this exploration, we glimpse a future where communication defies classical boundaries, opening new vistas for technological innovation and scientific inquiry.

A few little steps beyond Knuth’s Boolean Logic Table with Neutrosophic Logic: A Paradigm Shift in Uncertain Computation

A few little steps beyond Knuth’s Boolean Logic Table with Neutrosophic Logic: A Paradigm Shift in Uncertain Computation
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 5
Release:
Genre: Mathematics
ISBN:
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The present article delves into the extension of Knuth’s fundamental Boolean logic table to accommodate the complexities of indeterminate truth values through the integration of neutrosophic logic (Smarandache & Christianto, 2008). Neutrosophic logic, rooted in Florentin Smarandache’s groundbreaking work on Neutrosophic Logic (cf. Smarandache, 2005, and his other works), introduces an additional truth value, ‘indeterminate,’ enabling a more comprehensive framework to analyze uncertainties inherent in computational systems. By bridging the gap between traditional boolean operations and the indeterminacy present in various real-world scenarios, this extension redefines logic tables, introducing neutrosophic operators that capture nuances beyond the binary realm. Through a thorough exploration of neutrosophic logic's principles and its implications in computational paradigms, this study proposes a novel approach to logic design that accommodates uncertain, imprecise, and incomplete information. This paradigm shift in logic tables not only broadens the spectrum of computing methodologies but also holds promise in fields such as decision-making systems and data analytics. This article amalgamates insights from over twelve key references encompassing seminal works in boolean logic, neutrosophic logic, and their applications in diverse scientific and computational domains, aiming to pave the way for a more robust and adaptable logic framework in computation.

Quantum Computing and Quantum Bits in Mesoscopic Systems

Quantum Computing and Quantum Bits in Mesoscopic Systems
Author: Anthony Leggett
Publisher: Springer Science & Business Media
Total Pages: 264
Release: 2012-12-06
Genre: Science
ISBN: 1441990925
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Quantum information science is a new field of science and technology which requires the collaboration of researchers coming from different fields of physics, mathematics, and engineering: both theoretical and applied. Quantum Computing and Quantum Bits in Mesoscopic Systems addresses fundamental aspects of quantum physics, enhancing the connection between the quantum behavior of macroscopic systems and information theory. In addition to theoretical quantum physics, the book comprehensively explores practical implementation of quantum computing and information processing devices. On the experimental side, this book reports on recent and previous observations of quantum behavior in several physical systems, coherently coupled Bose-Einstein condensates, quantum dots, superconducting quantum interference devices, Cooper pair boxes, and electron pumps in the context of the Josephson effect. In these systems, the book discusses all required steps, from fabrication through characterization to the final basic implementation for quantum computing.

Quantum Computing

Quantum Computing
Author: Hafiz Md. Hasan Babu
Publisher:
Total Pages: 0
Release: 2020
Genre: Quantum computers
ISBN: 9780750327473
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Quantum computing is an emerging technology with the potential to have a significant impact on science and technology. Recent advances in mathematics, material science and computer engineering are transforming quantum computing from theory into practice. As quantum computing is an entirely different concept compared to classical computers it is necessary to develop a new way of thinking to establish the new technologies for the current quantum revolution. This book is an essential resource both for students and active researchers where the readers are introduced to quantum computing and quantum logic, fault tolerant quantum computing and quantum dot cellular automata.

AN INTRODUCTION TO THE NEUTROSOPHIC PROBABILITY APPLIED IN QUANTUM PHYSICS

AN INTRODUCTION TO THE NEUTROSOPHIC PROBABILITY APPLIED IN QUANTUM PHYSICS
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 11
Release:
Genre:
ISBN:
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In this paper one generalizes the classical probability and imprecise probability to the notion of “neutrosophic probability” in order to be able to model Heisenberg’s Uncertainty Principle of a particle’s behavior, Schrödinger’s Cat Theory, and the state of bosons which do not obey Pauli’s Exclusion Principle (in quantum physics).

Nidus Idearum. Scilogs, X: via neutrosophica

Nidus Idearum. Scilogs, X: via neutrosophica
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 99
Release: 2022-11-01
Genre: Science
ISBN:
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In this tenth book of scilogs – called via neutrosophica (the neutrosophic way) –, one may find new and old questions and solutions, referring mostly to topics on NEUTROSOPHY, but also MULTISPACE, with miscellaneous addition of topics on Physics, Mathematics, or Sociology – email messages to research colleagues, or replies, notes about authors, articles, or books, spontaneous ideas, and so on. Exchanging ideas with A. Elhassouny, Junhui Kim, Jeong Gon Lee, Kul Hur, Hojjatollah Farahani, W. B. Vasantha Kandasamy, Said Broumi, Mumtaz Ali, Mohamed Abdel-Basset, Ozen Ozer, Madad Khan, Gheorghe Săvoiu, John Mordeson, Adesina Agboola, Waldyr Rodrigues, Ajay Sharma, Stephen Crothers, Vlad, Dmitri Rabounski, Victor Christianto, Trung Duyên, Mirela Teodorescu, Ioan Aurel Pop.

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (second version)

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (second version)
Author: FLORENTIN SMARANDACHE
Publisher: Infinite Study
Total Pages: 55
Release:
Genre:
ISBN:
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The subsets T, I, F are not necessarily intervals, but may be any real subsets: discrete or continuous; single-element, finite, or (either countably or uncountably) infinite; union or intersection of various subsets; etc.

Computing with Multi-Value Logic in Quantum Dot Cellular Automata

Computing with Multi-Value Logic in Quantum Dot Cellular Automata
Author: Reza Sabbaghi-Nadooshan
Publisher: John Wiley & Sons
Total Pages: 278
Release: 2024-08-27
Genre: Technology & Engineering
ISBN: 139425394X
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Meet the latest challenges in quantum computing with this cutting-edge volume Miniaturization is one of the major forms (and drivers) of innovation in electronics and computing. In recent years, the rapid reduction in the size of semiconductors and other key elements of digital technology has created major challenges, which new technologies are being continuously mobilized to meet. Quantum dot cellular automata (QCA) is a technology with huge potential to meet these challenges, particularly if multi-value computing is brought to bear. Computing with Multi-Value Logic in Quantum Dot Cellular Automata introduces this groundbreaking area of technology and its major applications. Using MATLAB® software and a novel multi-value logic simulator, the book demonstrates that multi-value circuits with a function that approximates fuzzy logic are within reach of modern engineering and design. Rigorous and clear, this book offers a crucial introduction to the processes of designing multi-value logic circuits with QCA technology. Readers will also find: The tools required to design fuzzy-quantum controllers with high processing speed Detailed discussion of topics including basic gate function, the energy consumption of QCA multi-value cells, and much more Extensive MATLAB® data and other worked-through examples Computing with Multi-Value Logic in Quantum Dot Cellular Automata is ideal for researchers and readers who are looking for an explanation of the basic concepts required to design multi-value circuits in this field.

Reversible Logic Synthesis Methodologies with Application to Quantum Computing

Reversible Logic Synthesis Methodologies with Application to Quantum Computing
Author: Saleem Mohammed Ridha Taha
Publisher: Springer
Total Pages: 185
Release: 2015-09-24
Genre: Technology & Engineering
ISBN: 331923479X
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This book opens the door to a new interesting and ambitious world of reversible and quantum computing research. It presents the state of the art required to travel around that world safely. Top world universities, companies and government institutions are in a race of developing new methodologies, algorithms and circuits on reversible logic, quantum logic, reversible and quantum computing and nano-technologies. In this book, twelve reversible logic synthesis methodologies are presented for the first time in a single literature with some new proposals. Also, the sequential reversible logic circuitries are discussed for the first time in a book. Reversible logic plays an important role in quantum computing. Any progress in the domain of reversible logic can be directly applied to quantum logic. One of the goals of this book is to show the application of reversible logic in quantum computing. A new implementation of wavelet and multiwavelet transforms using quantum computing is performed for this purpose. Researchers in academia or industry and graduate students, who work in logic synthesis, quantum computing, nano-technology, and low power VLSI circuit design, will be interested in this book.