Singlet state creation and Universal quantum computation in NMR using Genetic Algorithm

TL;DR

This paper introduces a genetic algorithm-based method for decomposing unitary operators in quantum algorithms, enabling efficient NMR quantum computation and singlet state creation from thermal equilibrium.

Contribution

It presents a novel application of genetic algorithms for operator decomposition in quantum computing, specifically tailored for NMR systems.

Findings

Successful implementation of universal quantum computation using global pulses.

Efficient creation of singlet states directly from thermal equilibrium.

Demonstration of a probabilistic approach to quantum operator decomposition.

Abstract

Experimental implementation of a quantum algorithm requires unitary operator decomposition. Here we treat the unitary operator decomposition as an optimization problem and use Genetic Algorithm, a global optimization method inspired by nature's evolutionary process for operator decomposition. As an application, we apply this to NMR Quantum Information Processing and find a probabilistic way of doing universal quantum computation using global hard pulses. We also demonstrate efficient creation of singlet state (as a special case of Bell state) directly from thermal equilibrium using an optimum sequence of pulses.