Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
Monitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model, give rise to a structured volume-law entangled phase with s...
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.L042063 |
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| _version_ | 1846124647231258624 |
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| author | Guo-Yi Zhu Nathanan Tantivasadakarn Simon Trebst |
| author_facet | Guo-Yi Zhu Nathanan Tantivasadakarn Simon Trebst |
| author_sort | Guo-Yi Zhu |
| collection | DOAJ |
| description | Monitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model, give rise to a structured volume-law entangled phase with subleading LlnL liquid scaling behavior. This interacting Majorana liquid takes up a highly symmetric, spherical parameter space within the entanglement phase diagram obtained when varying the relative coupling probabilities. The sphere itself is a critical boundary with quantum Lifshitz scaling separating the volume-law phase from proximate area-law phases, a color code or a toric code. An exception is a set of tricritical, self-dual points exhibiting effective (1+1)d conformal scaling at which the volume-law phase and both area-law phases meet. From a quantum information perspective, our results define error thresholds for the color code in the presence of projective error and stochastic syndrome measurements. |
| format | Article |
| id | doaj-art-50c45247f8a24931bc5d67f1793cc9b4 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-50c45247f8a24931bc5d67f1793cc9b42024-12-13T15:03:49ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-0164L04206310.1103/PhysRevResearch.6.L042063Structured volume-law entanglement in an interacting, monitored Majorana spin liquidGuo-Yi ZhuNathanan TantivasadakarnSimon TrebstMonitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model, give rise to a structured volume-law entangled phase with subleading LlnL liquid scaling behavior. This interacting Majorana liquid takes up a highly symmetric, spherical parameter space within the entanglement phase diagram obtained when varying the relative coupling probabilities. The sphere itself is a critical boundary with quantum Lifshitz scaling separating the volume-law phase from proximate area-law phases, a color code or a toric code. An exception is a set of tricritical, self-dual points exhibiting effective (1+1)d conformal scaling at which the volume-law phase and both area-law phases meet. From a quantum information perspective, our results define error thresholds for the color code in the presence of projective error and stochastic syndrome measurements.http://doi.org/10.1103/PhysRevResearch.6.L042063 |
| spellingShingle | Guo-Yi Zhu Nathanan Tantivasadakarn Simon Trebst Structured volume-law entanglement in an interacting, monitored Majorana spin liquid Physical Review Research |
| title | Structured volume-law entanglement in an interacting, monitored Majorana spin liquid |
| title_full | Structured volume-law entanglement in an interacting, monitored Majorana spin liquid |
| title_fullStr | Structured volume-law entanglement in an interacting, monitored Majorana spin liquid |
| title_full_unstemmed | Structured volume-law entanglement in an interacting, monitored Majorana spin liquid |
| title_short | Structured volume-law entanglement in an interacting, monitored Majorana spin liquid |
| title_sort | structured volume law entanglement in an interacting monitored majorana spin liquid |
| url | http://doi.org/10.1103/PhysRevResearch.6.L042063 |
| work_keys_str_mv | AT guoyizhu structuredvolumelawentanglementinaninteractingmonitoredmajoranaspinliquid AT nathanantantivasadakarn structuredvolumelawentanglementinaninteractingmonitoredmajoranaspinliquid AT simontrebst structuredvolumelawentanglementinaninteractingmonitoredmajoranaspinliquid |