aqora

Computing in Color

David Orrell

This excerpt from Chapter 5 describes some of the basic quantum logic gates used in quantum computing, and shows how quantum circuits can be used to represent a number of problems from quantum economics and finance in a simplified manner.

WilmottDec 5, 20240 citations

Fundamentals of Quantum Computation

This chapter briefly describes the basic concepts and principles of quantum computing. Firstly, the concepts of qubit, quantum coherence, quantum decoherence, quantum entanglement, quantum density operators, linear operators, inner products, outer products, tensor products, Hermite operators, and unitary operators are described. Then, the four basic assumptions of quantum mechanics are introduced, focusing on the measurement assumptions of quantum mechanics. Finally, the definition of commonly used quantum logic gates is given including single qubit gates, double qubit gates, and multiple qubit gates. These contents provide the necessary theoretical basis for subsequent chapters.This chapter briefly describes the basic concepts and principles of quantum computing. Firstly, the concepts of qubit, quantum coherence, quantum decoherence, quantum entanglement, quantum density operators, linear operators, inner products, outer products, tensor products, Hermite operators, and unitary operators are described. Then, the four basic assumptions of quantum mechanics are introduced, focusing on the measurement assumptions of quantum mechanics. Finally, the definition of commonly used quantum logic gates is given including single qubit gates, double qubit gates, and multiple qubit gates. These contents provide the necessary theoretical basis for subsequent chapters.

Advances in computer and electrical engineering book seriesAug 26, 20200 citations

Comparison of Classical Logic Gates with Quantum Logic Gates

Liang Liu

In this article,we describe the differences between classical logic gates and quantum logic gates,and explain the characteristics of quantum computation,the strong power of the quantum algorithm,and the problem of the realization of quantum logic gates.

Computer Engineering and ScienceJan 1, 20050 citations

Multiple-Valued Logic Operations in Quantum Computing

Hafiz Md. Hasan Babu

Multi-Valued quantum computing is a challenging field for researchers. Two-valued quantum computing is not so old, but multi-valued quantum computing is a new topic to discuss. Designing with multiple-valued logic has obtained a lot of attention in the previous three decades. Multiple-valued logic emerged as a separate study in the early 1920s, thanks to a Polish philosopher named Lukasiewicz, his goal was to add a third value to the binary system. The Lukasiewicz system is the result of this investigation. This chapter explores the quantum world with multiple-valued logic systems. All operations will be covered that learned before in the binary quantum logic system. The basic operations of quantum computing in the ternary logic system will be implemented. In the two-valued quantum computing, several quantum fundamental gates for reversible logic are learned which include - the Pauli gate, Pauli-X gate, Hadamard gate, Toffoli gate, Fredkin gate, Deutsch gate, and Swap gate.Multi-Valued quantum computing is a challenging field for researchers. Two-valued quantum computing is not so old, but multi-valued quantum computing is a new topic to discuss. Designing with multiple-valued logic has obtained a lot of attention in the previous three decades. Multiple-valued logic emerged as a separate study in the early 1920s, thanks to a Polish philosopher named Lukasiewicz, his goal was to add a third value to the binary system. The Lukasiewicz system is the result of this investigation. This chapter explores the quantum world with multiple-valued logic systems. All operations will be covered that learned before in the binary quantum logic system. The basic operations of quantum computing in the ternary logic system will be implemented. In the two-valued quantum computing, several quantum fundamental gates for reversible logic are learned which include - the Pauli gate, Pauli-X gate, Hadamard gate, Toffoli gate, Fredkin gate, Deutsch gate, and Swap gate.

CRC Press eBooksAug 29, 20230 citations

FROM QUANTUM LOGIC TO QUANTUM COMPUTATIONAL LOGIC

Michele Caponigro, Stefano Mancini

We overview the main concepts of quantum logic ranging from the orthodox formulation to the quantum computational aspects.

Jan 1, 20060 citations

Basic definitions of quantum logic

Hafiz Md. Hasan Babu

Institute of Physics eBooksMay 1, 20200 citations

Basic definitions of quantum logic

Abstract

Related papers

Basic definitions of quantum logic

Abstract

Related papers