Producing Energy Eigenstates of the ${\rm H}_{2}$ Molecule by Classically Emulated Quantum Simulation

• URL: http://arxiv.org/abs/2412.20672v1
• Date: Mon, 30 Dec 2024 02:52:01 GMT
• Title: Producing Energy Eigenstates of the ${\rm H}_{2}$ Molecule by Classically Emulated Quantum Simulation
• Authors: Kazuto Oshima,
• Abstract summary: We produce an energy eigenstate of the $rm H_2$ molecule from a superposition of energy eigenstates by classically emulated quantum simulation.<n>We use a Hamiltonian of the $rm H_2$ molecule represented by Pauli matrices and ancillad qubits.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: We produce an energy eigenstate of the ${\rm H}_{2}$ molecule from a superposition of energy eigenstates by classically emulated quantum simulation. We use a Hamiltonian of the ${\rm H}_{2}$ molecule represented by Pauli matrices and concatenated ancilla qubits. Starting from an adequate initial state of physical qubits, we produce a corresponding energy eigenstate by twirling operations, that are time evolutions by the Hamiltonian controlled by the ancilla qubits.

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