Doubling Efficiency of Hamiltonian Simulation via Generalized Quantum Signal Processing
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916325039800320 |
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| author | Berry, Dominic W. Motlagh, Danial Pantaleoni, Giacomo Wiebe, Nathan |
| author_facet | Berry, Dominic W. Motlagh, Danial Pantaleoni, Giacomo Wiebe, Nathan |
| contents | Quantum signal processing provides an optimal procedure for simulating Hamiltonian evolution on a quantum computer using calls to a block encoding of the Hamiltonian. In many situations it is possible to control between forward and reverse steps with almost identical cost to a simple controlled operation. We show that it is then possible to reduce the cost of Hamiltonian simulation by a factor of 2 using the recent results of generalised quantum signal processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Doubling Efficiency of Hamiltonian Simulation via Generalized Quantum Signal Processing Berry, Dominic W. Motlagh, Danial Pantaleoni, Giacomo Wiebe, Nathan Quantum Physics Quantum signal processing provides an optimal procedure for simulating Hamiltonian evolution on a quantum computer using calls to a block encoding of the Hamiltonian. In many situations it is possible to control between forward and reverse steps with almost identical cost to a simple controlled operation. We show that it is then possible to reduce the cost of Hamiltonian simulation by a factor of 2 using the recent results of generalised quantum signal processing. |
| title | Doubling Efficiency of Hamiltonian Simulation via Generalized Quantum Signal Processing |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.10321 |