Twirling Operations to Produce Energy Eigenstates of a Hamiltonian by Classically Emulated Quantum Simulation
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
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| _version_ | 1866916080149069824 |
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| author | Oshima, Kazuto |
| author_facet | Oshima, Kazuto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04933 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twirling Operations to Produce Energy Eigenstates of a Hamiltonian by Classically Emulated Quantum Simulation Oshima, Kazuto Quantum Physics 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. |
| title | Twirling Operations to Produce Energy Eigenstates of a Hamiltonian by Classically Emulated Quantum Simulation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2309.04933 |