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CRC Press eBooks

Quantum Computer

Shabnam Siddiqui

Published Oct 10, 2018• 0 citations
Publisher

Abstract

The "processing and storage of information" functions of the computer have greatly accelerated the pace of "human progress." To solve any mathematical or computational problem using a computer, an "efficient algorithm" for solving the problem is required. A quantum computer is a device that can perform computational tasks based on the principles of quantum mechanics. In an actual quantum computer, parallel processing can indeed be performed using a minimum of resources which is impossible in a classical computer. To perform parallel processing in a classical computer, huge resources and space are required. A qubit is a smallest unit of information in a quantum computer similar to a bit in a classical computer. Classical computers consist of wires and logic gates. A quantum algorithm can only be run on a quantum computer. A quantum computer is built from a quantum circuit that consists of quantum gates and wires.

DOI
10.1201/b22074-8

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The "processing and storage of information" functions of the computer have greatly accelerated the pace of "human progress." To solve any mathematical or computational problem using a computer, an "efficient algorithm" for solving the problem is required. A quantum computer is a device that can perform computational tasks based on the principles of quantum mechanics. In an actual quantum computer, parallel processing can indeed be performed using a minimum of resources which is impossible in a classical computer. To perform parallel processing in a classical computer, huge resources and space are required. A qubit is a smallest unit of information in a quantum computer similar to a bit in a classical computer. Classical computers consist of wires and logic gates. A quantum algorithm can only be run on a quantum computer. A quantum computer is built from a quantum circuit that consists of quantum gates and wires.
Modern computing has achieved extraordinary scale and speed. Electronic computers emerged commercially in the mid-20th century, and classical computing has since scaled through architectural advances and parallelism. However, many scientifically important problems remain computationally expensive because the underlying state spaces grow exponentially. Quantum computing addresses this challenge by representing and transforming information using quantum-mechanical state vectors and unitary operations. These conventional systems are referred to as classical computers, capable of handling everyday tasks with moderate computational power and speed. Classical computers represent information using bits and process it using deterministic logic operations. While modern classical systems use extensive parallelism (multi-core CPUs, GPUs, and clusters), many important problems still scale poorly because the resources required grow rapidly with input size. Even with significant parallelism, complex problems that involve large combinatorial structures or high-dimensional state spaces often require substantial computational time and resources, motivating the need for more powerful computational paradigms capable of handling such workloads.
AbstractThe quantum computing has been proven to provide the solutions to most complex computations in the world today. Quantum computers can solve the problems with polynomial resources. Quantum information can be encoded in a number of ways, such as spin components of basic particles like photons, electrons, and polarization of photons. The quantum computer uses quantum bits which are superposition of states called as qubits, which is the classical fundamental unit of information. A quantum computer is a regular classical computer with additional ability to control the quantum bits. It is a regular computer connected to a special peripherals and a set of quantum bits simulated to build controller architecture. Two simulators are used for the quantum programming, one is Microsoft Q# and other is IBM Qiskit. Classical language Q # is used to program the quantum controller and its operations such that initializing a qubit, applying a gate on a qubit and measuring a qubit. IBM Qiskit programs simulates the functionality of quantum circuit and creates it’s drawing using a graphical interface with qubits, gates, and measurements. Qiskit provides simulators that run quantum circuits using visualization tools that help to understand the effect of our quantum circuits on the quantum states. The teleportation technique allows the quantum information to be communicated at a distance. An unbreakable encryption protocol is built for polarizing photons through the quantum channel. The combination of quantum computing and AI has the potential to drive significant advances across many sectors.
In quantum computers a unitary transformation is applied to a given initial state of a set of qubits through several quantum gates. Tests were conducted using Grover's algorithm and implemented in a variety of different ways on the publically available IBM quantum computers. Essentially, quantum computers manipulate quantum states instead of classical bits. Quantum information can be represented by the elementary units called quantum bits abbreviated as qubits or qbits. This chapter discusses the fundamental properties of quantum systems that are relevant to information processing. Quantum computation needs something much more than that quantum parallelism to be useful. This is achieved in Deutsch's algorithm which combines quantum parallelism with interference. One can simulate a classical circuit using a quantum circuit. That is, it is possible to perform classical computations on quantum computers. But the advantage of quantum computing is that powerful functions may be computed by making use of quantum parallelism, the fundamental feature of many quantum algorithms.
The quantum computer, is a "supercomputer" that relies on the phenomena of quantum mechanics to perform operations on data. Object of suppositions, sometimes farfetched, quantum mechanics gave birth to the quantum computer, a machine capable of processing data tens of millions of times faster than a conventional computer. A quantum computer doesn't use the same memory as a conventional computer. Rather than a sequence of 0 and 1, it works with qubits or quantum bits. The quantum computer is a combination of two major scientific fields: quantum mechanics and computer science. Quantum mechanics, on which this computer is based, governs the movement of bodies in the atomic, molecular and corpuscular domains, is a theory whose logic is totally contrary to intuition and it is essential to use mathematics to fully grasp it. Quantum computing is the sub-domain of computer science that deals with quantum computers using quantum mechanical phenomena, as opposed to those of electricity exclusively, for so-called "classical" computing. The quantum phenomena used are quantum entanglement and superposition. The article examines some aspects related to the development, operation, advantages and difficulties, applications and future of the quantum computer.
The article is devoted to the actual problem of teaching methods of the subjects of the educational process of modern information and computer science. The contribution of Ukrainian scientists to the development of electronic computing machines, their programming and teaching methods, prospects for further research are briefly considered. In the natural sciences, elementary units are widely used for various measurements. In particular, Planck’s constant is the smallest portion, quantum of energy, quantum of action, which is used in quantum mechanics. It is also known from the course of physics that the smallest portion of energy in classical mechanics is the energy per one degree of freedom. Logically created mathematical models and theories describing the relevant properties of matter using the specified units. Similarly, emphasis is placed on clarifying the difference between a classical computer and quantum units of information. The concepts of bit of information, qubit and trit are revealed, and depending on the defined units of information, types of computers are distinguished: classical and quantum. The concepts of qubit and trit are considered mainly as a mathematical entity, and attention is not focused on the content of the physics of quantum objects, a comparison of the indicated units of quantum information with a traditional bit of information in the quantum world is given. A historical-genetic analysis of the registers of elementary logic systems, a theoretical study of the principles of superposition and interaction between quantum states, and experimental methods of implementing qubits and their connections have been carried out. An important field for the use of quantum computers is cryptology, for solving the problems of which Grover’s method has already been created. With Grover’s quantum algorithm, it is possible to quickly search for the necessary element in an unsorted database with 2nN (n is the length of the search space of the quantum register - the number of qubits in it; N is the size of the search space). However, although the quantum simulator gives a high probability of the correct result, experimental studies also show large discrepancies. Therefore, there is a problem for further research. Quantum computers can influence each other through the phenomenon of entanglement.
Quantum computing is a very active field producing many publications and varied perspectives. A quantum computer, as the name suggests, is a computer that can operate at the quantum level thus offering enormous improvements in energy consumption and size reductions. Significant size reductions and the use of photons should also lead to vast improvements in computational speed. The concept of a quantum computer goes beyond physical computers and seeks to offer an alternative universal computer. It does so by utilizing analogs to bits known as qubits. The interferometric computer is a macroscopic apparatus that allows the control of photon propagation via the probabilistic laws of quantum mechanics. The term quantum computer, however, applies to devices at the atomic scale that can be used to control the emission and/or propagation of quantum radiation obeying quantum logic rules.