Simulation of a Quantum Particle

Abstract

Classical computers require exponential time for simulating the dynamics of quantum systems. But computers built using the laws of quantum mechanics are expected to take way lesser time. Challenge has not just been in constructing one, but even in controlling quantum phenomena at an experimental level. Though a large scale quantum computer, based on conventional NMR, may never be built, NMR is considered to be an accessible test-bed for experimental quantum computing. We here simulate single particle Schrodinger equation for various potentials, e ectively realising a NMR quantum simulator. Discretisation of space owing to limited number of qubits however limits the precision of the simulator. However the successful demonstration of Schrodinger evolution by a machine that is governed by quantum laws keeps one's quest for a quantum computer alive.