A Taxonomy of Small Markovian Errors
Errors in quantum logic gates are usually modeled by quantum process matrices (CPTP maps). But process matrices can be opaque and unwieldy. We show how to transform the process matrix of a gate into an error generator that represents the same information more usefully. We construct a basis of simple...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-05-01
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| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/PRXQuantum.3.020335 |
| _version_ | 1818211466951524352 |
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| author | Robin Blume-Kohout Marcus P. da Silva Erik Nielsen Timothy Proctor Kenneth Rudinger Mohan Sarovar Kevin Young |
| author_facet | Robin Blume-Kohout Marcus P. da Silva Erik Nielsen Timothy Proctor Kenneth Rudinger Mohan Sarovar Kevin Young |
| author_sort | Robin Blume-Kohout |
| collection | DOAJ |
| description | Errors in quantum logic gates are usually modeled by quantum process matrices (CPTP maps). But process matrices can be opaque and unwieldy. We show how to transform the process matrix of a gate into an error generator that represents the same information more usefully. We construct a basis of simple and physically intuitive elementary error generators, classify them, and show how to represent the error generator of any gate as a mixture of elementary error generators with various rates. Finally, we show how to build a large variety of reduced models for gate errors by combining elementary error generators and/or entire subsectors of generator space. We conclude with a few examples of reduced models, including one with just 9N^{2} parameters that describes almost all commonly predicted errors on an N-qubit processor. |
| first_indexed | 2024-12-12T05:32:57Z |
| format | Article |
| id | doaj.art-c03692c26e404a7e9668aa3ca3fcea1f |
| institution | Directory Open Access Journal |
| issn | 2691-3399 |
| language | English |
| last_indexed | 2024-12-12T05:32:57Z |
| publishDate | 2022-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj.art-c03692c26e404a7e9668aa3ca3fcea1f2022-12-22T00:36:16ZengAmerican Physical SocietyPRX Quantum2691-33992022-05-013202033510.1103/PRXQuantum.3.020335A Taxonomy of Small Markovian ErrorsRobin Blume-KohoutMarcus P. da SilvaErik NielsenTimothy ProctorKenneth RudingerMohan SarovarKevin YoungErrors in quantum logic gates are usually modeled by quantum process matrices (CPTP maps). But process matrices can be opaque and unwieldy. We show how to transform the process matrix of a gate into an error generator that represents the same information more usefully. We construct a basis of simple and physically intuitive elementary error generators, classify them, and show how to represent the error generator of any gate as a mixture of elementary error generators with various rates. Finally, we show how to build a large variety of reduced models for gate errors by combining elementary error generators and/or entire subsectors of generator space. We conclude with a few examples of reduced models, including one with just 9N^{2} parameters that describes almost all commonly predicted errors on an N-qubit processor.http://doi.org/10.1103/PRXQuantum.3.020335 |
| spellingShingle | Robin Blume-Kohout Marcus P. da Silva Erik Nielsen Timothy Proctor Kenneth Rudinger Mohan Sarovar Kevin Young A Taxonomy of Small Markovian Errors PRX Quantum |
| title | A Taxonomy of Small Markovian Errors |
| title_full | A Taxonomy of Small Markovian Errors |
| title_fullStr | A Taxonomy of Small Markovian Errors |
| title_full_unstemmed | A Taxonomy of Small Markovian Errors |
| title_short | A Taxonomy of Small Markovian Errors |
| title_sort | taxonomy of small markovian errors |
| url | http://doi.org/10.1103/PRXQuantum.3.020335 |
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