Twirling Operations to Produce Energy Eigenstates of a Hamiltonian by Classically Emulated Quantum Simulation

Kazuto Oshima

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arXiv · 2309.04933

Twirling Operations to Produce Energy Eigenstates of a Hamiltonian by Classically Emulated Quantum Simulation

Kazuto Oshima

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Abstract

We propose a simple procedure to produce energy eigenstates of a Hamiltonian with discrete eigenvalues. We use ancilla qubits and quantum entanglement to separate an energy eigenstate from the other energy eigenstates. We exhibit a few examples derived from the (1+1)-dimensional massless Schwinger model. Our procedure in principle will be applicable for a Hamiltonian with a finite dimensional Hilbert space. Choosing an initial state properly, we can in principle produce any energy eigenstate of the Hamiltonian.

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Kazuto Oshima. 2023-09-10. Twirling Operations to Produce Energy Eigenstates of a Hamiltonian by Classically Emulated Quantum Simulation. https://arxiv.org/abs/2309.04933

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