Compilation of a simple chemistry application to quantum error correction primitives
A number of exciting recent results have been seen in the field of quantum error correction. These include initial demonstrations of error correction on current quantum hardware and resource estimates which improve understanding of the requirements to run large-scale quantum algorithms for real-worl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.013325 |
| _version_ | 1797210271651987456 |
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| author | Nick S. Blunt György P. Gehér Alexandra E. Moylett |
| author_facet | Nick S. Blunt György P. Gehér Alexandra E. Moylett |
| author_sort | Nick S. Blunt |
| collection | DOAJ |
| description | A number of exciting recent results have been seen in the field of quantum error correction. These include initial demonstrations of error correction on current quantum hardware and resource estimates which improve understanding of the requirements to run large-scale quantum algorithms for real-world applications. In this work, we bridge the gap between these two developments by performing careful estimation of the resources required to fault-tolerantly perform quantum phase estimation (QPE) on a minimal chemical example. Specifically, we describe a detailed compilation of the QPE circuit to lattice surgery operations for the rotated surface code, for a hydrogen molecule in a minimal basis set. We describe a number of optimizations at both the algorithmic and error correction levels. We find that implementing even a simple chemistry circuit requires 1000 qubits and 2300 quantum error correction rounds, emphasising the need for improved error correction techniques specifically targeting the early fault-tolerant regime. |
| first_indexed | 2024-04-24T10:07:57Z |
| format | Article |
| id | doaj.art-e7327c61d60641b1b7948338a781eedd |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:07:57Z |
| publishDate | 2024-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e7327c61d60641b1b7948338a781eedd2024-04-12T17:40:52ZengAmerican Physical SocietyPhysical Review Research2643-15642024-03-016101332510.1103/PhysRevResearch.6.013325Compilation of a simple chemistry application to quantum error correction primitivesNick S. BluntGyörgy P. GehérAlexandra E. MoylettA number of exciting recent results have been seen in the field of quantum error correction. These include initial demonstrations of error correction on current quantum hardware and resource estimates which improve understanding of the requirements to run large-scale quantum algorithms for real-world applications. In this work, we bridge the gap between these two developments by performing careful estimation of the resources required to fault-tolerantly perform quantum phase estimation (QPE) on a minimal chemical example. Specifically, we describe a detailed compilation of the QPE circuit to lattice surgery operations for the rotated surface code, for a hydrogen molecule in a minimal basis set. We describe a number of optimizations at both the algorithmic and error correction levels. We find that implementing even a simple chemistry circuit requires 1000 qubits and 2300 quantum error correction rounds, emphasising the need for improved error correction techniques specifically targeting the early fault-tolerant regime.http://doi.org/10.1103/PhysRevResearch.6.013325 |
| spellingShingle | Nick S. Blunt György P. Gehér Alexandra E. Moylett Compilation of a simple chemistry application to quantum error correction primitives Physical Review Research |
| title | Compilation of a simple chemistry application to quantum error correction primitives |
| title_full | Compilation of a simple chemistry application to quantum error correction primitives |
| title_fullStr | Compilation of a simple chemistry application to quantum error correction primitives |
| title_full_unstemmed | Compilation of a simple chemistry application to quantum error correction primitives |
| title_short | Compilation of a simple chemistry application to quantum error correction primitives |
| title_sort | compilation of a simple chemistry application to quantum error correction primitives |
| url | http://doi.org/10.1103/PhysRevResearch.6.013325 |
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