抄録
A method is introduced to measure the entanglement entropy using a wavelet analysis. Using this method, the two-dimensional Haar wavelet transform of a configuration of Fortuin-Kasteleyn (FK) clusters is performed. The configuration represents a direct snapshot of spin-spin correlations since spin degrees of freedom are traced out in FK representation. A snapshot of FK clusters loses image information at each coarse-graining process by the wavelet transform. It is shown that the loss of image information measures the entanglement entropy in the Potts model.
| 元の言語 | English |
|---|---|
| 記事番号 | 052128 |
| ジャーナル | Physical Review E |
| 巻 | 97 |
| 発行部数 | 5 |
| DOI | |
| 出版物ステータス | Published - 2018 5 21 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
これを引用
Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis. / Tomita, Yusuke.
：: Physical Review E, 巻 97, 番号 5, 052128, 21.05.2018.研究成果: Article
}
TY - JOUR
T1 - Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis
AU - Tomita, Yusuke
PY - 2018/5/21
Y1 - 2018/5/21
N2 - A method is introduced to measure the entanglement entropy using a wavelet analysis. Using this method, the two-dimensional Haar wavelet transform of a configuration of Fortuin-Kasteleyn (FK) clusters is performed. The configuration represents a direct snapshot of spin-spin correlations since spin degrees of freedom are traced out in FK representation. A snapshot of FK clusters loses image information at each coarse-graining process by the wavelet transform. It is shown that the loss of image information measures the entanglement entropy in the Potts model.
AB - A method is introduced to measure the entanglement entropy using a wavelet analysis. Using this method, the two-dimensional Haar wavelet transform of a configuration of Fortuin-Kasteleyn (FK) clusters is performed. The configuration represents a direct snapshot of spin-spin correlations since spin degrees of freedom are traced out in FK representation. A snapshot of FK clusters loses image information at each coarse-graining process by the wavelet transform. It is shown that the loss of image information measures the entanglement entropy in the Potts model.
UR - http://www.scopus.com/inward/record.url?scp=85047411242&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85047411242&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.97.052128
DO - 10.1103/PhysRevE.97.052128
M3 - Article
AN - SCOPUS:85047411242
VL - 97
JO - Physical review. E
JF - Physical review. E
SN - 1539-3755
IS - 5
M1 - 052128
ER -