Essentials for Deeper Understanding of Quantum Computing

Vladimír Bužek, Mark S. Hillery, Reinhard F. Werner

Quantum information processing is usually associated with a specific computational basis. Nevertheless, for a deeper understanding of the fundamental principles of quantum computing, it is essential to investigate what is the fidelity of universal operations that are basis independent; i.e., the task is to perform optimally a specific operation on a qubit or a quantum register that is in an unknown state. In this paper we introduce the universal-NOT gate that takes as an input a qubit in an arbitrary state $|\ensuremath{\Psi}〉$ and generates an output that is as close as possible to the orthogonal state $|{\ensuremath{\Psi}}^{\ensuremath{\perp}}〉.$

K.R. Vijayalakshmi, B.G. Deepa, Vijayalakshmi A. Lepakshi +1 more

Harry Paul

Since its emergence in the early twentieth century, quantum theory has become the fundamental physical paradigm, and is essential to our understanding of the world. Providing a deeper understanding of the microscopic world through quantum theory, this supplementary text reviews a wider range of topics than conventional textbooks. Emphasis is given to modern entanglement, quantum teleportation, and Bose-Einstein condensation. Macroscopic quantum effects of practical relevance, for example superconductivity and the quantum Hall effect, are also described. Looking to the future, the author discusses the exciting prospects for quantum computing. Physical, rather than formal, explanations are given, and mathematical formalism is kept to a minimum so readers can understand the concepts more easily. Theoretical discussions are combined with a description of the corresponding experimental results. This book is ideal for undergraduate and graduate students in quantum theory and quantum optics.

Hafiz Md. Hasan Babu

Venkateswaran Kasirajan

Jincheng Zhang

Quantum Topology Geometric Modeling explores the intersection of quantum mechanics and geometric modeling, aiming to develop a novel approach to describing and predicting the evolution of quantum systems. The core claim posits that by leveraging the unique geometric properties of quantum topology, we can significantly enhance the accuracy and predictive power of existing quantum simulations. This research focuses on constructing a self-similar geometric model that captures the essential topological features of quantum systems, facilitating a deeper understanding of their dynamics. The paper introduces a method for generating these models, emphasizing the potential of this approach to advance the field of quantum computation and provide a foundational step towards more robust and versatile quantum simulations.