تقرير
Entanglement Negativity at Measurement-Induced Criticality
| العنوان: | Entanglement Negativity at Measurement-Induced Criticality |
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| المؤلفون: | Sang, Shengqi, Li, Yaodong, Zhou, Tianci, Chen, Xiao, Hsieh, Timothy H., Fisher, Matthew P. A. |
| المصدر: | PRX Quantum 2, 030313 (2021) |
| سنة النشر: | 2020 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual information leads to a precise distinction between bipartite and multipartite entanglement. In a measurement-only stabilizer circuit that maps exactly to two-dimensional critical percolation, we show that the mutual information and the mutual negativity are governed by boundary conformal fields of different scaling dimensions at long distances. We then consider a class of "hybrid" circuit models obtained by perturbing the measurement-only circuit with unitary gates of progressive levels of complexity. While other critical exponents vary appreciably for different choices of unitary gate ensembles at their respective critical points, the mutual negativity has scaling dimension 3 across remarkably many of the hybrid circuits, which is notably different from that in percolation. We contrast our results with limiting cases where a geometrical minimal-cut picture is available. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PRXQuantum.2.030313 |
| URL الوصول: | http://arxiv.org/abs/2012.00031 |
| رقم الأكسشن: | edsarx.2012.00031 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PRXQuantum.2.030313 |
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