The concept of quantum computing has arisen as a methodology by which very rapid computations can be achieved. There also has been considerable discussion about physical implementations of the qubit. This has led, in recent years, to a situation in which quantum computing and quantum information theory are being rapidly developed. In general, the specific advantages offered by quantum computing have been somewhat nebulous. On the one hand, faster computing was promised, but we now know that no speedup of most algorithms exists relative the speed that can be obtained with massive parallel processing. Then, we are promised that the use of entanglement will make quantum computing possible with a much smaller use of resources. Yet, entanglement must be viewed as a hidden variable, which is not accessible in experiment. How does this provide the speedup? We have suggested that analog processing may provide a suitable alternative, and may be the basis which provides the speedup in quantum computing, but this is a controversial assertion. In this talk, we will discuss these particular viewpoints, along with several approaches to a wave basis for (quantum) computing.
The concept of quantum computing has arisen as a methodology by which very rapid computations can be achieved. There also has been considerable discussion about physical implementations of the qubit. This has led, in recent years, to a situation in which quantum computing and quantum information theory are being rapidly developed. In general, the specific advantages offered by quantum computing have been somewhat nebulous. On the one hand, faster computing was promised, but we now know that no speedup of most algorithms exists relative the speed that can be obtained with massive parallel processing. Then, we are promised that the use of entanglement will make quantum computing possible with a much smaller use of resources. Yet, entanglement must be viewed as a hidden variable, which is not accessible in experiment. How does this provide the speedup? We have suggested that analog processing may provide a suitable alternative, and may be the basis which provides the speedup in quantum computing, but this is a controversial assertion. In this talk, we will discuss these particular viewpoints, along with several approaches to a wave basis for (quantum) computing.
Commercial applications of quantum computation have become viable due to the rapid progress of the field in the recent years. Efficient quantum algorithms are discovered to cope with the most challenging real-world problems that are too hard for classical computers. Manufactured quantum hardware has reached unprecedented precision and controllability, enabling fault-tolerant quantum computation. Here, I give a brief introduction on what principles in quantum mechanics promise its unparalleled computational power. I will discuss several important quantum algorithms that achieve exponential or polynomial speedup over any classical algorithm. Building a quantum computer is a daunting task, and I will talk about the criteria and various implementations of quantum computers. I conclude the talk with near-future commercial applications of a quantum computer.
The recently emerged field called quantum computing uses the ideas of quantum physics to execute computations substantially faster than they could be done on a conventional computer. This chapter provides a detailed discussion, highlighting its evolution, recent advancements, future opportunities, and challenges for future generations. Rapid advancements have been made in quantum computing, driven by breakthroughs in quantum algorithms, hardware technologies, and theoretical understanding. The essential components that constitute quantum computers, known as qubits, or quantum bits, can exist in superposition and entanglement states, enabling parallel computation and complex information processing. Also, recent advancements in quantum computing have demonstrated the feasibility of quantum algorithms for solving certain problems more efficiently than classical algorithms. Quantum supremacy experiments have showcased the ability of quantum computers to outperform classical systems in specific tasks. Additionally, efforts in developing scalable qubit architectures have advanced the practicality of quantum computers.
Why quantum computing? As we all know very well, conventional (electronic) computers have enormous power which, moreover, is constantly increasing. With their help gigantic quantities of data can be handled and evaluated. This is of crucial importance, for instance, in modern high energy physics experiments. On the other hand, computers can be used to model very complex systems with the aim of predicting, for example, future developments in our environment, notably climatic changes. Thanks to their incredible speed computers are, of course, destined to treat mathematical problems for which specific algorithms exist very efficiently. To mention a simple example, the digits of π are readily evaluated up to a very high order. Last, but not least, their potential to solve differential equations numerically, even when they are nonlinear, makes computers indispensable in modern research. So, one might ask, is there any reason to look for fundamentally new ways of computing as they are seemingly offered by quantum processes? What advantages can be expected when the laws of quantum mechanics, rather than those of classical physics, are exploited for computation? Two answers were given: first, the simulation of complex quantum systems on classical computers meets serious difficulties that might be overcome with the help of quantum computers. This idea was suggested in 1982 by R. Feynman, and in the 1990s it was indeed shown by several groups of researchers that quantum mechanical systems for which no efficient simulation on a classical computer is known can be efficiently simulated on a quantum computer.
Quantum Computation is an interdisciplinary field formed by the merge of quantum effect, information theory and algorithms. The future of computing lies with the quantum computers which may be a hypothetical paradigm but surely will be a reality very soon.This book describes about some quantum algorithms and programs which will prove as the foundation of quantum computers in the years to come.In quantum computers we exploit quantum effects to compute in ways that are faster or moreefficient than, or even impossible, on conventional computers. Quantum computers use aspecific physical implementation to gain a computational advantage over conventionalcomputers. Properties called superposition and entanglement may, in some cases, allow anexponential amount of parallelism. Also, special purpose machines like quantumcryptographic devices use entanglement and other peculiarities like quantum uncertainty.Quantum computing combines quantum mechanics, information theory, and aspects ofcomputer science. The field is a relatively new one that promises secure data transfer,dramatic computing speed increases, and may take component miniaturization to itsfundamental limit.
Quantum information theory and quantum computing are theoritical basis of quantum computers. Thanks to entanglement, quantum mechanical systems are provisioned to realize many information processing problems faster than classical counterparts. For example, Shor’s factorization algorithm, Grover’s search algorithm, quantum Fourrier transformation, etc. [1]. Entanglement, is the theoretical basis providing the expected speedups. It can be view in bipartite or multipartite forms. In order to quantify entanglement, some measures are defined. On the other hand, a general and accepted criterion, which can measure the amount of entanglement of multilateral systems, has not yet been found. However, since it must be used in many information processing tasks, the production and processing of multilateral quantum entangled systems is at the top of the hot topics of recent years [5-11]. Much of the work in the basic quantum technologies, such as quantum cryptography, communications, and computers, requires multi-partite entangled systems such as GHZ, W [22,30]. It can be suggested that the quantum entanglement criteria reflects the different properties of the systems. Many recent research has been done in entanglement and its related disciplines like entanglement measures and majorization, etc. [62-71]. In this work, we make an overview of recent research on the topic entanglement monotones/measures with an analitical approach.
Quantum computing is a quickly growing research field. This article introduces the basic concepts of quantum computing, recent developments in quantum searching Quantum computers are computing devices that can theoretically have computed power that is many orders of magnitude greater than that of conventional computers. The quantum bit, or qubit, which is the quantum state of electrons in an atom, is the fundamental data unit in a quantum computer. Qubits have the potential to exist in several superposed states at once, making them capable of carrying much more data than do standard two-state bits. The mathematical basis of the proportionality of qubit states is like that of the input weights of neural networks. The technology of quantum computers has made some progress, but much more work needs to be done in terms of research and development before it can be used in everyday life. There are also views that suggest this outcome is impossible. A recent field of study known as quantum computing (QC) combines components of computing, physics, and mathematics. Interest in quantum computing is rising among academics, technologists, and businesspeople. For the past ten years, it has given researchers in the scientific, technological, and industrial disciplines a place to conduct their work. The fundamentals of QC have been developed using notions from quantum physics. The parallel processing functionality in QC has simplified the currently employed algorithms. Numerous optimization-related challenges and issues were solved with the aid of this function. Intelligent computational techniques that were inspired by quantum mechanics have been applied in a variety of fields. A qubit's ability to be in superposition is one of its characteristics that distinguishes it from a conventional bit. Superposition is one of the fundamental principles. Entanglement is another one of quantum physics' counterintuitive occurrences. When each particle's quantum state cannot be characterized separately from the quantum state of the other particle(s), a pair or group of particles are said to be entangled