Simulation of a Rohksar-Kivelson ladder on a NISQ device
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929228105121792 |
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| author | Gupta, Sabhyata Javanmard, Younes Osborne, Tobias J. Santos, Luis |
| author_facet | Gupta, Sabhyata Javanmard, Younes Osborne, Tobias J. Santos, Luis |
| contents | We present a quantum-classical algorithm to study the dynamics of the Rohksar-Kivelson plaquette ladder on NISQ devices. We show that complexity is largely reduced using gauge invariance, additional symmetries, and a crucial property associated to how plaquettes are blocked against ring-exchange in the ladder geometry. This allows for an efficient simulation of sizable plaquette ladders with a small number of qubits, well suited for the capabilities of present NISQ devices. We illustrate the procedure for ladders with simulation of up to $8$ plaquettes in an IBM-Q machine, employing scaled quantum gates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16326 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simulation of a Rohksar-Kivelson ladder on a NISQ device Gupta, Sabhyata Javanmard, Younes Osborne, Tobias J. Santos, Luis Quantum Physics We present a quantum-classical algorithm to study the dynamics of the Rohksar-Kivelson plaquette ladder on NISQ devices. We show that complexity is largely reduced using gauge invariance, additional symmetries, and a crucial property associated to how plaquettes are blocked against ring-exchange in the ladder geometry. This allows for an efficient simulation of sizable plaquette ladders with a small number of qubits, well suited for the capabilities of present NISQ devices. We illustrate the procedure for ladders with simulation of up to $8$ plaquettes in an IBM-Q machine, employing scaled quantum gates. |
| title | Simulation of a Rohksar-Kivelson ladder on a NISQ device |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.16326 |