Quantum Simulation of 2p-π Electronic Hamiltonian in Molecular Ethylene by Using an NMR Quantum Computer

Deniz Türkpençe,Azmi Gençten

doi:10.4236/jqis.2013.32012

Abstract

Classical simulation of a quantum system is a hard problem. It’s known that these problems can be solved efficiently by using quantum computers. This study demonstrates the simulation of the molecular Hamiltonian of 2p-π electrons of ethylene in order to calculate the ground state energy. The ground state energy is estimated by an iterative phase estimation algorithm. The ground state is prepared by the adiabatic state preparation and the implementation of the procedure is carried out by numerical simulation of two-qubit NMR quantum simulator. The readout scheme of the simulator is performed by extracting binary bits via NMR interferometer.

Highlights

Quantum information processing has become one of the most interesting fields in science and technology [1]
In 1982, Feynman proposed that simulation of quantum systems can be efficiently achieved by using computers working with the quantum mechanical principles [3]
The goal of this study is to present a quantum simulation procedure for a better understanding of iterative phase estimation algorithm (IPEA) and Adiabatic State Preparation (ASP) algorithms with NMR techniques

Summary

Introduction

Quantum information processing has become one of the most interesting fields in science and technology [1]. It has a potential to change the technology towards to quantum technology [2]. In 1982, Feynman proposed that simulation of quantum systems can be efficiently achieved by using computers working with the quantum mechanical principles [3]. First David Deutsch considered a computer device based on quantum mechanical principles [4]. Other experimental and theoretical studies are performed on quantum information processing [5,6]. Seth Lloyd defined quantum computers as universal quantum simulators by recalling Feynman’s original motivation for introducing quantum computers [7]. The classification of quantum simulation is separated into two main lines. One of them is simulating a target quantum system by using another quantum system and the latter is simulating the target quantum system by constructing the elements of the target Hamiltonian with unitary and universal quantum logic gates [8]

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Results

Conclusion