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Full-Text Articles in Physics
Quantum Simulation Of Schrödinger's Equation, Mohamed Eltohfa
Quantum Simulation Of Schrödinger's Equation, Mohamed Eltohfa
Capstone and Graduation Projects
Quantum computing is one of the promising active areas in physics research. This is because of the potential of quantum algorithms to outperform their classical counterparts. Grover’s search algorithm has a quadratic speed-up compared to the classical linear search. The quantum simulation of Schrödinger’s equation has an exponential memory save-up compared to the classical simulation. In this thesis, the ideas and tools of quantum computing are reviewed. Grover’s algorithm is studied and simulated as an example. Using the Qiskit quantum computing library, a code to simulate Schrödinger’s equation for a particle in one dimension is developed, simulated locally, and run …
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 …