Noisy intermediate-scale quantum simulation of the one-dimensional wave equation
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912157287841792 |
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| author | Wright, Lewis Keever, Conor Mc First, Jeremy T. Johnston, Rory Tillay, Jeremy Chaney, Skylar Rosenkranz, Matthias Lubasch, Michael |
| author_facet | Wright, Lewis Keever, Conor Mc First, Jeremy T. Johnston, Rory Tillay, Jeremy Chaney, Skylar Rosenkranz, Matthias Lubasch, Michael |
| contents | We design and implement quantum circuits for the simulation of the one-dimensional wave equation on the Quantinuum H1-1 quantum computer. The circuit depth of our approach scales as $O(n^{2})$ for $n$ qubits representing the solution on $2^{n}$ grid points, and leads to infidelities of $O(2^{-4n} t^{2})$ for simulation time $t$ assuming smooth initial conditions. By varying the qubit count we study the interplay between the algorithmic and physical gate errors to identify the optimal working point of minimum total error. Our approach to simulating the wave equation can be used with appropriate state preparation algorithms across different quantum processors and serve as an application-oriented benchmark. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19247 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation Wright, Lewis Keever, Conor Mc First, Jeremy T. Johnston, Rory Tillay, Jeremy Chaney, Skylar Rosenkranz, Matthias Lubasch, Michael Quantum Physics Mathematical Physics Applied Physics Classical Physics Computational Physics We design and implement quantum circuits for the simulation of the one-dimensional wave equation on the Quantinuum H1-1 quantum computer. The circuit depth of our approach scales as $O(n^{2})$ for $n$ qubits representing the solution on $2^{n}$ grid points, and leads to infidelities of $O(2^{-4n} t^{2})$ for simulation time $t$ assuming smooth initial conditions. By varying the qubit count we study the interplay between the algorithmic and physical gate errors to identify the optimal working point of minimum total error. Our approach to simulating the wave equation can be used with appropriate state preparation algorithms across different quantum processors and serve as an application-oriented benchmark. |
| title | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation |
| topic | Quantum Physics Mathematical Physics Applied Physics Classical Physics Computational Physics |
| url | https://arxiv.org/abs/2402.19247 |