Practical quantum error mitigation for near-future applications
It is vital to minimise the impact of errors for near-future quantum devices that will lack the resources for full fault tolerance. Two quantum error mitigation (QEM) techniques have been introduced recently, namely error extrapolation and quasi-probability decomposition. To enable practical impleme...
| Main Authors: | , , |
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| Format: | Journal article |
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American Physical Society
2018
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| _version_ | 1797094923314397184 |
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| author | Endo, S Benjamin, S Li, Y |
| author_facet | Endo, S Benjamin, S Li, Y |
| author_sort | Endo, S |
| collection | OXFORD |
| description | It is vital to minimise the impact of errors for near-future quantum devices that will lack the resources for full fault tolerance. Two quantum error mitigation (QEM) techniques have been introduced recently, namely error extrapolation and quasi-probability decomposition. To enable practical implementation of these ideas, here we account for the inevitable imperfections in the experimentalist’s knowledge of the error model itself. We describe a protocol for systematically measuring the effect of errors so as to design efficient QEM circuits. We find that the effect of localised Markovian errors can be fully eliminated by inserting or replacing some gates with certain single-qubit Clifford gates and measurements. Finally, having introduced an exponential variant of the extrapolation method we contrast the QEM techniques using exact numerical simulation of up to 19 qubits in the context of a ‘SWAP test’ circuit. Our optimised methods dramatically reduce the circuit’s output error without increasing the qubit count or time requirements. |
| first_indexed | 2024-03-07T04:20:38Z |
| format | Journal article |
| id | oxford-uuid:cae4f7f2-eff5-43df-a379-179b59b1850d |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:20:38Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:cae4f7f2-eff5-43df-a379-179b59b1850d2022-03-27T07:10:50ZPractical quantum error mitigation for near-future applicationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cae4f7f2-eff5-43df-a379-179b59b1850dSymplectic Elements at OxfordAmerican Physical Society2018Endo, SBenjamin, SLi, YIt is vital to minimise the impact of errors for near-future quantum devices that will lack the resources for full fault tolerance. Two quantum error mitigation (QEM) techniques have been introduced recently, namely error extrapolation and quasi-probability decomposition. To enable practical implementation of these ideas, here we account for the inevitable imperfections in the experimentalist’s knowledge of the error model itself. We describe a protocol for systematically measuring the effect of errors so as to design efficient QEM circuits. We find that the effect of localised Markovian errors can be fully eliminated by inserting or replacing some gates with certain single-qubit Clifford gates and measurements. Finally, having introduced an exponential variant of the extrapolation method we contrast the QEM techniques using exact numerical simulation of up to 19 qubits in the context of a ‘SWAP test’ circuit. Our optimised methods dramatically reduce the circuit’s output error without increasing the qubit count or time requirements. |
| spellingShingle | Endo, S Benjamin, S Li, Y Practical quantum error mitigation for near-future applications |
| title | Practical quantum error mitigation for near-future applications |
| title_full | Practical quantum error mitigation for near-future applications |
| title_fullStr | Practical quantum error mitigation for near-future applications |
| title_full_unstemmed | Practical quantum error mitigation for near-future applications |
| title_short | Practical quantum error mitigation for near-future applications |
| title_sort | practical quantum error mitigation for near future applications |
| work_keys_str_mv | AT endos practicalquantumerrormitigationfornearfutureapplications AT benjamins practicalquantumerrormitigationfornearfutureapplications AT liy practicalquantumerrormitigationfornearfutureapplications |