Quantum simulation of the single-particle Schrodinger equation

TL;DR

This paper demonstrates how a small quantum computer with 6-10 qubits can efficiently simulate the single-particle Schrödinger equation, showcasing a practical approach to quantum simulation of quantum mechanics.

Contribution

It introduces a quantum simulation method for the Schrödinger equation using a small number of qubits, highlighting its efficiency and practicality.

Findings

A register of 6-10 qubits suffices for useful quantum simulation.

The quantum simulator can efficiently solve standard quantum mechanical problems.

The approach provides a concrete example of quantum computer capabilities.

Abstract

The working of a quantum computer is described in the concrete example of a quantum simulator of the single-particle Schrodinger equation. We show that a register of 6-10 qubits is sufficient to realize a useful quantum simulator capable of solving in an efficient way standard quantum mechanical problems.