Quantum Simulation of Discretized Harmonic Oscillator
Introduction In the fascinating realm of quantum computing, researchers continuously push the boundaries of what can be simulated and understood using quantum algorithms. A recent study titled "Quantum simulation of discretized harmonic oscillator" , available here , explores the quantum simulation of a particle in a harmonic oscillator potential on IBM's quantum experience platform. Abstract In this work, we conduct a quantum simulation of a particle in a harmonic oscillator potential on a quantum chip provided by IBM quantum experience platform. The simulation is carried out in two spatial dimensions and the algorithm used is generalized for n-spatial dimensions. Thus, the mentioned approach can be used to simulate n-dimensional harmonic oscillator. We implement the time translation unitary operator on an arbitrary quantum state to show that the probability amplitudes of position oscillate in time. We propose a quantum circuit to effectuate the time translation operat...