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Quantum Simulation Of The Schrodinger Equation Using Ibm's Quantum Computers, Mohamed Abouelela
Quantum Simulation Of The Schrodinger Equation Using Ibm's Quantum Computers, Mohamed Abouelela
Capstone and Graduation Projects
This thesis explores the capabilities of a quantum computer to simulate quantum systems. We give an introduction to the basics of quantum computing with the Bernstein-Vazirani algorithm as a demonstration. Four quantum systems are then simulated using IBM's QASM simulator using 6 qubits: the free particle, eigenstate of an infinite-well, particle in a step potential, and quantum tunneling. Because of the high number of gates, a 6-qubit simulation will not be feasible on current quantum computers. The number of qubits was, thus, reduced to 4 qubits, and was simulated on IBM's 5 qubit quantum computers (ibmq 5 vigo). We conclude …