Hamiltonian simulation in Zeno subspaces
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911953147920384 |
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| author | Dizaji, Kasra Rajabzadeh Haqq, Ariq Magann, Alicia B. Arenz, Christian |
| author_facet | Dizaji, Kasra Rajabzadeh Haqq, Ariq Magann, Alicia B. Arenz, Christian |
| contents | We investigate the quantum Zeno effect as a framework for designing and analyzing quantum algorithms for Hamiltonian simulation. We show that frequent projective measurements of an ancilla qubit register can be used to simulate quantum dynamics on a target qubit register with a circuit complexity similar to randomized approaches. The classical sampling overhead in the latter approaches is traded for ancilla qubit overhead in Zeno-based approaches. A second-order Zeno sequence is developed to improve scaling and implementations through unitary kicks are discussed. We show that the circuits over the combined register can be identified as a subroutine commonly used in post-Trotter Hamiltonian simulation methods. We build on this observation to reveal connections between different Hamiltonian simulation algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13589 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamiltonian simulation in Zeno subspaces Dizaji, Kasra Rajabzadeh Haqq, Ariq Magann, Alicia B. Arenz, Christian Quantum Physics We investigate the quantum Zeno effect as a framework for designing and analyzing quantum algorithms for Hamiltonian simulation. We show that frequent projective measurements of an ancilla qubit register can be used to simulate quantum dynamics on a target qubit register with a circuit complexity similar to randomized approaches. The classical sampling overhead in the latter approaches is traded for ancilla qubit overhead in Zeno-based approaches. A second-order Zeno sequence is developed to improve scaling and implementations through unitary kicks are discussed. We show that the circuits over the combined register can be identified as a subroutine commonly used in post-Trotter Hamiltonian simulation methods. We build on this observation to reveal connections between different Hamiltonian simulation algorithms. |
| title | Hamiltonian simulation in Zeno subspaces |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.13589 |