The weird quantum mechanical effects governing the behavior of sub-atomic particles are about to revolutionize the way we perform computation and manipulate information. This thesis is a testimony to the indelible mark that quantum mechanics has already left on computer science. Specifically, we have investigated some of the consequences of manipulating information at the quantum level on data security, parallel processing, universality and computability.
We have devised an efficient scheme for entanglement verification with direct applicability to key distribution protocols based on entanglement. We also showed how an approach exploiting the context of a qubit in the quantum Fourier transform can be successful in dealing with low levels of eavesdropping, by propagating the disruption through data dependency.
The importance of parallelism for quantum information processing and its consequence on universality is demonstrated through a series of evolving computing paradigms for which only a parallel approach can guarantee a reliable solution. We also bring a necessary clarification to the much disputed problem regarding the comparison between the computational power of a quantum machine and that of a conventional computer.
The weird quantum mechanical effects governing the behavior of sub-atomic particles are about to revolutionize the way we perform computation and manipulate information. This thesis is a testimony to the indelible mark that quantum mechanics has already left on computer science. Specifically, we have investigated some of the consequences of manipulating information at the quantum level on data security, parallel processing, universality and computability.
We have devised an efficient scheme for entanglement verification with direct applicability to key distribution protocols based on entanglement. We also showed how an approach exploiting the context of a qubit in the quantum Fourier transform can be successful in dealing with low levels of eavesdropping, by propagating the disruption through data dependency.
The importance of parallelism for quantum information processing and its consequence on universality is demonstrated through a series of evolving computing paradigms for which only a parallel approach can guarantee a reliable solution. We also bring a necessary clarification to the much disputed problem regarding the comparison between the computational power of a quantum machine and that of a conventional computer.
Quantum entanglement, where two or more particles become correlated in such a way that the state of one particle is dependent on the state of the other(s), regardless of the distance between them, is an important concept in quantum mechanics. Here, we explore the role of quantum entanglement in quantum computing, by looking at its basic principles, and the new levels of processing power and security it allows. We also discuss the latest advances, problems and opportunities of quantum entanglement in information processing technologies, such as quantum algorithms, quantum encryption and its effect on conventional computers.
This paper explores the potential of leveraging quantum entanglement for efficient computation and storage of semantic information, encompassing concepts and their relationships. The core claim is that utilizing quantum entanglement allows for parallel and distributed processing of semantic data, surpassing the limitations of classical computers in understanding and retrieving semantic information. The proposed mechanism involves encoding semantic information within entangled quantum states and manipulating these states through quantum gates to facilitate parallel computation and rapid exploration of complex relationships. This research represents a novel approach by integrating quantum computing with semantic understanding, offering a pathway to overcome traditional computational bottlenecks in semantic reasoning and information retrieval. The presented framework demonstrates a theoretical foundation for a new paradigm in information processing, focusing on exploiting quantum phenomena for enhanced semantic data manipulation. The key mathematical concepts and operations employed are outlined, providing a foundation for further research and development in this field. ---
At the most microscopic level, all physical systems are governed by the laws of quantum mechanics. Quantum information processing is the study of how information is gathered, transformed, and transmitted at the quantum level—in atoms, ions, photons, elementary particles, and microscopic solid-state systems, which obey fundamentally quantum mechanical laws. Quantum computers, quantum communication channels, and quantum sensors are devices that can attain the ultimate limits of information processing. The laws of quantum mechanics give rise to counterintuitive effects. Quantum information processors use “quantum weirdness” to perform tasks that classical information processors cannot. Quantum computers are conceived to process information stored on atomic, optical, and solid-state systems: they aim to use counterintuitive effects including quantum superposition and entanglement to perform tasks such as quantum simulation, quantum search, and factoring/code-breaking to solve problems that are hard or impossible on conventional classical computers. Quantum communication systems transmit information encoded in individual photons: they exploit the fact that quantum measurement is inevitably stochastic and destructive to enact quantum-encrypted communication whose security is guaranteed by the laws of physics. Quantum sensors and measurement devices operate at the greatest possible sensitivity and precision allowed by physical law: from magnetometers to quantum clocks to advanced gravitational interferometers (e.g., LIGO), quantum metrology supplies the techniques required to push measurement to its ultimate limits.
Quantum Information Science is a cross-disciplinary subject that has arisen in the last twenty years. It concerns itself with the consequences of our most complete description of the physical world (that is, quantum mechanics) for the reliable, secure, private, and rapid processing of information, both in communication and computation. While its invention is often ascribed to the famous theoretical physicist Richard Feynman in the 1980s, his contributions were only one of many that initiated the field around that time. While he perceived that new types of physical devices, in which the quantum laws of superposition and entanglement function at the logical level, could give new power in the simulation of quantum physics, it was others (Bennett, Brassard) who showed that the uncertainty principle led to fundamentally more secure ways of communicating secret messages. It was yet others (Deutsch, Vazirani) who understood that quantum theory defined a new kind of Turing machine, and that not only quantum physics simulations, but potentially many other computational problems, are sped up in this machine. And it was yet another (Shor) who found a simple, very fast algorithm for prime factorization. The word "qubit" was coined only in 1995. Its introduction is indicative of a new mindset that has developed in recent years for studying and using quantum systems. "Qubit" now stands for a durable paradigm that spans a very wide variety of fields. It thus has many sub-meanings: first, it is the basic abstract unit of information for workers ranging from optical communication engineers to NMR spectroscopists to black-hole theorists. Second, it is the name we now routinely give to physical two level systems, as they are realized by photons, atomic and ionic eigenlevels, electronic and nuclear spin, structural defects in solids, and circulating-current states of superconducting devices. Physics has long dealt with some of these two-level systems, but calling them qubits implies a whole suite of interrelated ideas and capabilities that we ascribe to these systems: the ability to precisely set, and to precisely measure, the quantum state of one unique specimen, to avoid its coupling with the environment while at the same time strongly and controllably coupling the qubits together, to exploit the resulting quantum entanglement as a resource for metrological, cryptographic, and computational tasks. Quantum Information is a very diverse subject pursued today in many different directions, by many hundreds of researchers internationally: In theoretical physics, it has enlivened and sharpened the understanding of efficient representations of entangled many-particle wavefunctions, and has provided the prospect of applications for new concepts such as anyons and majorana fermions. Information theorists has benefitted from having a rigorous extension of the basis of their field, in which classical information theory is subsumed into a greatly broader subject. Theoretical computer scientists continue the search for new quantum algorithms, and have used quantum concepts to prove new results about the classification of computational complexity. Coding theorists have had the new and subtle problem of quantum error correction to analyse and conquer. Most strikingly, the program of experimental physics has been influenced in many directions by Quantum Information Science. State-of-the-art optics experiments transmit quantum states over long distances and perform precision manipulations in single quanta (atomic ions, impurity spins, quantum dots) in the quest to have working quantum cyptography and quantum computing. Quantum Hall systems, and topological insulators, are being assiduously examined for new elementary excitations for use as qubits. In the course of ten years, superconducting devices have improved by over four orders of magnitude in their quantum coherence, a metric made precise by the ideas of quantum computing. [...] DiVincenzo, David
This paper proposes a novel distributed storage protocol leveraging quantum entanglement to enhance security and resilience against attacks. Traditional distributed storage systems rely on classical cryptographic algorithms, which are vulnerable to advances in computing power and algorithmic breakthroughs. This protocol aims to mitigate these vulnerabilities by directly exploiting the principles of quantum mechanics, specifically quantum entanglement, for secure data storage and retrieval. The core idea is to establish entangled states between storage nodes. Data encryption and verification are then performed by manipulating these entangled states, eliminating the need for conventional key exchange processes. This approach offers a fundamentally different security paradigm, providing a higher level of confidentiality and resistance against attacks that target classical cryptographic assumptions. The protocol's efficiency and scalability will be explored conceptually, laying the groundwork for future research and potential implementation.
The field of quantum computing has emerged as a promising frontier in information technology, harnessing the counterintuitive principles of quantum mechanics to revolutionize the way we process and manipulate information. This paper delves into the fundamentals of quantum computing, exploring its theoretical underpinnings, physical realizations, and potential applications. By examining the principles of quantum superposition, entanglement, and quantum parallelism, we shed light on the remarkable capabilities of quantum computers and their ability to tackle complex computational problems that are intractable for classical computers. The paper also investigates the various physical platforms being explored for the realization of quantum computing, including superconducting circuits, trapped ions, and topological systems. Additionally, we discuss the current state of quantum computing hardware, highlighting the challenges and progress in areas such as qubit scalability, error correction, and quantum supremacy. Finally, we explore the potential applications of quantum computing across diverse fields, ranging from cryptography and optimization to quantum simulation and machine learning. Through a comprehensive analysis of theoretical frameworks, experimental findings, and technological developments, this paper aims to provide a comprehensive understanding of the quantum computing landscape and its vast implications for the future of information processing. Keywords: Quantum Computing, Information Processing, Quantum Mechanics, Superposition, Entanglement, Computation, Theoretical Foundations, Qubit, Quantum Gates, Quantum Computing Models, Circuit Model, Adiabatic Model, Quantum Error Correction, Decoherence.