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Springer eBooks

Entanglement

Ciarán Hughes, Joshua Isaacson, Anastasia Perry, Ranbel F. Sun, Jessica Turner

Published Jan 1, 2021• 4 citations
Publisher

Abstract

Abstract So far, we have discussed the manipulation and measurement of a single qubit. However, quantum entanglement is a physical phenomenon that occurs when multiple qubits are correlated with each other. Entanglement can have strange and useful consequences that could make quantum computers faster than classical computers. Qubits can be “entangled,” providing hidden quantum information that does not exist in the classical world. It is this entanglement that is one of the main advantages of the quantum world!

DOI
10.1007/978-3-030-61601-4_7

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Abstract So far, we have discussed the manipulation and measurement of a single qubit. However, quantum entanglement is a physical phenomenon that occurs when multiple qubits are correlated with each other. Entanglement can have strange and useful consequences that could make quantum computers faster than classical computers. Qubits can be “entangled,” providing hidden quantum information that does not exist in the classical world. It is this entanglement that is one of the main advantages of the quantum world!
Abstract: Quantum computing is a new type of computing that uses the principles of quantum physics to perform calculations in ways that are not possible with traditional computers. Unlike classical computers, which process information using bits that are either 0 or 1, quantum computers use quantum bits (qubits) that can exist in multiple states at the same time. This ability allows quantum systems to solve certain complex problems much faster than classical machines. This paper presents a simple and human-centered explanation of quantum computing, focusing on how it works, why it matters, and how it can be applied in real-world situations. The study discusses key concepts such as superposition, entanglement, and quantum gates using easy-to-understand language. It also explores practical applications including cryptography, optimization, drug discovery, and material simulation. In addition, this paper examines the current challenges in quantum computing, such as hardware instability, error correction, limited qubit scalability, and high implementation cost. A conceptual hybrid classical–quantum system model is proposed to show how quantum and classical computers can work together to solve complex problems more efficiently. The goal of this research is to make quantum computing more understandable to students, educators, and decision-makers, and to encourage early awareness and responsible development of this powerful technology. Keywords — quantum computing, qubit, superposition, entanglement, quantum gate, error correction, hybrid computing
Present-day computers work on the principles of classical mechanics. Imagine a coin in the classical regime. When we toss the coin, it can take up either of these two states: “head” (H) or “tail” (T). However, in a quantum world, a coin, or rather a quantum one, can exist in both the states “head” and “tail” simultaneously. This property of quantum mechanical objects—existing in multiple states simultaneously—is known as superposition . Similarly, quantum mechanical objects can exhibit a much stronger correlation than their classical counterparts through the phenomenon of entanglement . Using entanglement, two or more quantum particles can be linked in perfect unison, even when they are placed at opposite ends of the universe. Quantum computing harnesses and exploits the laws of quantum mechanics, especially superposition, entanglement, and interference, to process information. An important idea in quantum computing is to collapse a probability distribution toward specific measurement states. Quantum interference is a by-product of quantum superposition, and it helps bias quantum measurement toward specific quantum states.
From its seemingly non-intuitive and puzzling nature, most evident in numerous EPR-like gedanken experiments to its almost ubiquitous presence in quantum technologies, entanglement is at the heart of modern quantum physics. First introduced by Erwin Schrödinger nearly a century ago, entanglement has remained one of the most fascinating ideas that came out of quantum mechanics. Here, we attempt to explain what makes entanglement fundamentally different from any classical phenomenon. To this end, we start with a historical overview of entanglement and discuss several hidden variables models that were conceived to provide a classical explanation and demystify quantum entanglement. We discuss some inequalities and bounds that are violated by quantum states thereby falsifying the existence of some of the classical hidden variables theories. We also discuss some exciting manifestations of entanglement, such as N00N states and the non-separable single particle states. We conclude by discussing some contemporary results regarding quantum correlations and present a future outlook for the research of quantum entanglement.
Quantum computing is emerging as a revolutionary paradigm in the field of computing, promising an exponential leap in computing power and problemsolving that challenges even the most advanced supercomputers of the classical era.At the heart of this revolution lies the peculiarity of the quantum world, where subatomic particles can exist in multiple states simultaneously, a phenomenon known as superposition, and entangle their states in a way that defies classical logic.It is this capacity for superposition and entanglement that gives quantum computing its disruptive power.One of the most intriguing properties of quantum computing is its ability to process information using Qubits, the quantum analogues of classical bits.While a classical bit can only be in a single 0 or 1 state, a Qubit can simultaneously represent a 0, a 1, or any superposition of these states, allowing multiple calculations to be performed in parallel.This massively parallel processing capability is the basis for the potential superiority of quantum computers over their classical counterparts in a wide range of applications.The architecture of quantum computers is inherently different from classical computers.While the latter use transistors to store and manipulate information in bits, quantum computers use Qubits, which can be implemented in a variety of physical systems, such as atoms, ion traps, photons, superconductors or nuclear magnetic resonance.The manipulation of the Qubits is carried out through quantum gates, fundamental operations that transform the quantum state of the Qubits and allow quantum calculations to be carried out.Furthermore, to maintain quantum coherence, the control and isolation of the quantum system from its environment is crucial, posing significant challenges in terms of designing and building scalable and robust quantum systems.
Quantum computing is like having a supercharged computer that can do many things at once, thanks to some mind-bending physics tricks. Regular computers use bits that are either 0 or 1. But in quantum computers, we have qubits that can be both 0 and 1 at the same time. It's like having a magic coin that's both heads and tails until you look at it. These qubits can also be connected in a special way called entanglement. Imagine having two magic coins that always show the same side, no matter how far apart they are. This helps quantum computers solve problems crazy fast. The hardware of a quantum computer is made of super-cool stuff like tiny particles kept in special conditions. This keeps them in their magical quantum states. Why is this exciting? Because quantum computers can tackle huge problems much faster than regular ones. They can help us discover new medicines, create better materials, and even make our online data safer with super-secure codes. In short, quantum computing is like having a superhero computer that does things in a whole new, super-fast, and super-cool way because of the strange rules of quantum physics!
Abstract: Quantum computing is a modern calculation method that is based on the science of quantum mechanics. These phenomena include the bizarre behavior of particles at the atomic and subatomic levels, and the way that these particles can be in multiple states simultaneously. The field of computer science is a great mix of physics, math, and information theory. This technology provides high computing power, low power consumption, and exponential speed by controlling the behavior of small physical objects, such as atoms. Atoms, electrons, photons, etc. are all elements of the physical world. We would like to introduce the basics of quantum computing, and some of the ideas behind it. This article begins with the origins of the classical computer and discusses all the improvements and transformations that have been made due to its limitations thus far, then moves on to the basic operations of quantum computing and results in quantum properties such as superposition, entanglement, and interference.