Quantum error mitigation by Pauli check sandwiching
Abstract We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one layer of the technique. We build on the results on exte...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-28109-x |
| _version_ | 1828035231738757120 |
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| author | Alvin Gonzales Ruslan Shaydulin Zain H. Saleem Martin Suchara |
| author_facet | Alvin Gonzales Ruslan Shaydulin Zain H. Saleem Martin Suchara |
| author_sort | Alvin Gonzales |
| collection | DOAJ |
| description | Abstract We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one layer of the technique. We build on the results on extended flag gadgets and put it on a firm theoretical foundation. We prove that this technique can recover the noiseless state under the assumption of noise not affecting the checks. The method does not incur any encoding overhead and instead chooses the checks based on the input circuit. We provide an algorithm for obtaining such checks for an arbitrary target circuit. Since the method applies to any circuit and input state, it can be easily combined with other error mitigation techniques. We evaluate the performance of the proposed methods using extensive numerical simulations on 1850 random input circuits composed of Clifford gates and non-Clifford single-qubit rotations, a class of circuits encompassing most commonly considered variational algorithm circuits. We observe average improvements in fidelity of 34 percentage points with six layers of checks. |
| first_indexed | 2024-04-10T15:44:56Z |
| format | Article |
| id | doaj.art-13065c1164ff44b2bff6b6fc0e5839f7 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-10T15:44:56Z |
| publishDate | 2023-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-13065c1164ff44b2bff6b6fc0e5839f72023-02-12T12:09:31ZengNature PortfolioScientific Reports2045-23222023-02-0113111910.1038/s41598-023-28109-xQuantum error mitigation by Pauli check sandwichingAlvin Gonzales0Ruslan Shaydulin1Zain H. Saleem2Martin Suchara3Intelligence Community Postdoctoral Research Fellowship Program, Argonne National LaboratoryGlobal Technology Applied Research, JPMorgan ChaseMathematics and Computer Science Division, Argonne National LaboratoryMathematics and Computer Science Division, Argonne National LaboratoryAbstract We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one layer of the technique. We build on the results on extended flag gadgets and put it on a firm theoretical foundation. We prove that this technique can recover the noiseless state under the assumption of noise not affecting the checks. The method does not incur any encoding overhead and instead chooses the checks based on the input circuit. We provide an algorithm for obtaining such checks for an arbitrary target circuit. Since the method applies to any circuit and input state, it can be easily combined with other error mitigation techniques. We evaluate the performance of the proposed methods using extensive numerical simulations on 1850 random input circuits composed of Clifford gates and non-Clifford single-qubit rotations, a class of circuits encompassing most commonly considered variational algorithm circuits. We observe average improvements in fidelity of 34 percentage points with six layers of checks.https://doi.org/10.1038/s41598-023-28109-x |
| spellingShingle | Alvin Gonzales Ruslan Shaydulin Zain H. Saleem Martin Suchara Quantum error mitigation by Pauli check sandwiching Scientific Reports |
| title | Quantum error mitigation by Pauli check sandwiching |
| title_full | Quantum error mitigation by Pauli check sandwiching |
| title_fullStr | Quantum error mitigation by Pauli check sandwiching |
| title_full_unstemmed | Quantum error mitigation by Pauli check sandwiching |
| title_short | Quantum error mitigation by Pauli check sandwiching |
| title_sort | quantum error mitigation by pauli check sandwiching |
| url | https://doi.org/10.1038/s41598-023-28109-x |
| work_keys_str_mv | AT alvingonzales quantumerrormitigationbypaulichecksandwiching AT ruslanshaydulin quantumerrormitigationbypaulichecksandwiching AT zainhsaleem quantumerrormitigationbypaulichecksandwiching AT martinsuchara quantumerrormitigationbypaulichecksandwiching |