Fatima Hadjam | Searcharxiv

arXiv2015

A symbolic calculus for a class of quantum computing circuits

This paper introduces a symbolic calculus to evaluate the output signals at the target line(s) of quantum computing subcircuits using controlled negations and controlled-Q gates, where Q represents the k-th root of [0 1; 1 0], the unitary matrix of NOT, and k is a power of two. The controlling signals are GF(2) expressions possibly including Boolean expressions. The method does not require operating with complex-valued matrices. The method may be used to verify the functionality and to check for possible minimization of a given quantum computing circuit using target lines. The method does not apply for a whole circuit if there are interactions among target lines. In this case the method applies for the independent subcircuits.

cs.ET↗

arXiv2014

Introduction to RIMEP2: A Multi-Expression Programming System for the Design of Reversible Digital Circuits

Quantum computers are considered as a future alternative to circumvent the heat dissipation problem of VLSI circuits. The synthesis of reversible circuits is a very promising area of study considering the expected further technological advances towards quantum computing. In this report, we propose a linear genetic programming system to design reversible circuits -RIMEP2-. The system has evolved reversible circuits starting from scratch without resorting to a pre-existing library. The results show that among the 26 considered benchmarks, RIMEP2 outperformed the best published solutions for 20 of them and matched the remaining 6. RIMEP2 is presented in this report as a promising method with a considerable potential for reversible circuit design. It will be considered as work reference for future studies based on this method.

cs.ET↗