Measurement-induced phase transitions in sparse nonlocal scramblers
Measurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast scramblers, systems that scramble quantum information as quickly as...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013174 |
| _version_ | 1797210818803138560 |
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| author | Tomohiro Hashizume Gregory Bentsen Andrew J. Daley |
| author_facet | Tomohiro Hashizume Gregory Bentsen Andrew J. Daley |
| author_sort | Tomohiro Hashizume |
| collection | DOAJ |
| description | Measurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast scramblers, systems that scramble quantum information as quickly as is conjectured to be possible—on a timescale proportional to the logarithm of the system size. In particular, we consider sets of deterministic sparse couplings that naturally interpolate between local circuits that slowly scramble information and highly nonlocal circuits that achieve the fast-scrambling limit. We find that circuits featuring sparse nonlocal interactions are able to withstand substantially higher rates of local measurement than circuits with only local interactions, even at comparable gate depths. We also study the quantum error-correcting codes that support the volume-law entangled phase and find that our maximally nonlocal circuits yield codes with nearly extensive contiguous code distance. Use of these sparse, deterministic circuits opens pathways towards the design of noise-resilient quantum circuits and error correcting codes in current and future quantum devices with minimum gate numbers. |
| first_indexed | 2024-04-24T10:16:39Z |
| format | Article |
| id | doaj.art-cdf19b11a14d46cd96e99793f45dac33 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:16:39Z |
| publishDate | 2022-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-cdf19b11a14d46cd96e99793f45dac332024-04-12T17:18:39ZengAmerican Physical SocietyPhysical Review Research2643-15642022-03-014101317410.1103/PhysRevResearch.4.013174Measurement-induced phase transitions in sparse nonlocal scramblersTomohiro HashizumeGregory BentsenAndrew J. DaleyMeasurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast scramblers, systems that scramble quantum information as quickly as is conjectured to be possible—on a timescale proportional to the logarithm of the system size. In particular, we consider sets of deterministic sparse couplings that naturally interpolate between local circuits that slowly scramble information and highly nonlocal circuits that achieve the fast-scrambling limit. We find that circuits featuring sparse nonlocal interactions are able to withstand substantially higher rates of local measurement than circuits with only local interactions, even at comparable gate depths. We also study the quantum error-correcting codes that support the volume-law entangled phase and find that our maximally nonlocal circuits yield codes with nearly extensive contiguous code distance. Use of these sparse, deterministic circuits opens pathways towards the design of noise-resilient quantum circuits and error correcting codes in current and future quantum devices with minimum gate numbers.http://doi.org/10.1103/PhysRevResearch.4.013174 |
| spellingShingle | Tomohiro Hashizume Gregory Bentsen Andrew J. Daley Measurement-induced phase transitions in sparse nonlocal scramblers Physical Review Research |
| title | Measurement-induced phase transitions in sparse nonlocal scramblers |
| title_full | Measurement-induced phase transitions in sparse nonlocal scramblers |
| title_fullStr | Measurement-induced phase transitions in sparse nonlocal scramblers |
| title_full_unstemmed | Measurement-induced phase transitions in sparse nonlocal scramblers |
| title_short | Measurement-induced phase transitions in sparse nonlocal scramblers |
| title_sort | measurement induced phase transitions in sparse nonlocal scramblers |
| url | http://doi.org/10.1103/PhysRevResearch.4.013174 |
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