Noisy intermediate-scale quantum simulation of the one-dimensional wave equation
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...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.043169 |
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| _version_ | 1849221717150400512 |
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| author | Lewis Wright Conor Mc Keever Jeremy T. First Rory Johnston Jeremy Tillay Skylar Chaney Matthias Rosenkranz Michael Lubasch |
| author_facet | Lewis Wright Conor Mc Keever Jeremy T. First Rory Johnston Jeremy Tillay Skylar Chaney Matthias Rosenkranz Michael Lubasch |
| author_sort | Lewis Wright |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-64ad9d1ddbcd4f51a113e3770e12017a |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-64ad9d1ddbcd4f51a113e3770e12017a2025-01-15T16:07:20ZengAmerican Physical SocietyPhysical Review Research2643-15642024-11-016404316910.1103/PhysRevResearch.6.043169Noisy intermediate-scale quantum simulation of the one-dimensional wave equationLewis WrightConor Mc KeeverJeremy T. FirstRory JohnstonJeremy TillaySkylar ChaneyMatthias RosenkranzMichael LubaschWe 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.http://doi.org/10.1103/PhysRevResearch.6.043169 |
| spellingShingle | Lewis Wright Conor Mc Keever Jeremy T. First Rory Johnston Jeremy Tillay Skylar Chaney Matthias Rosenkranz Michael Lubasch Noisy intermediate-scale quantum simulation of the one-dimensional wave equation Physical Review Research |
| title | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation |
| title_full | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation |
| title_fullStr | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation |
| title_full_unstemmed | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation |
| title_short | Noisy intermediate-scale quantum simulation of the one-dimensional wave equation |
| title_sort | noisy intermediate scale quantum simulation of the one dimensional wave equation |
| url | http://doi.org/10.1103/PhysRevResearch.6.043169 |
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