Introduction to gate-based quantum computing

Dennis Willsch

I. Glendinning, Bernhard Ömer

This paper reports on work to parallelize QC-lib, a C++ library for the simulation of quantum computers at an abstract functional level. After a brief introduction to quantum computing, we give an outline of QC-lib, then describe the parallelization using MPI of the general single qubit gate and the controlled-NOT gate (CNOT). Although QC-lib also implements other gates, this combination is already universal for quantum computing, and has allowed us to implement Grover's quantum search algorithm as a test case. We present some performance measurements made on a Beowulf cluster, which show reasonable speedups for Grover's algorithm.

Rafael Pereira da Silva

David A. Kreplin

Quantum computing uses quantum-mechanical principles to enable new models of computation bexond the classical paradigm. This article presents an accessible introduction to the mathematical and conceptual foundations of quantum computing, covering qubits, quantum gates, multi-qubit systems, entanglement, and measurement. The gate-based computation model and quantum circuits are introduced, together with key notations such as universality and reversibility. As an illustrative example, the Deutsch-Josza algorithm is discussed to demonstrate how quantum algorithm can be constucted. The article concludes with a brief overview of the current state and challenges of quantum computing.

Shi Jiao-fang

An introduction is given to the background and advantages of quantum computers.The basic structure of quantum gate is discussed in details. The emphasis is placed on the quantum one-bit gate and the quantum XOR or controlled NOT as the fundamental two-bit gate for quantum computation.

Michel Le Bellac