The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations
Open accessAbstract
We develop a quantum Monte Carlo procedure, in the valence bond basis, to measure the Renyi entanglement entropy of a many-body ground state as the expectation value of a unitary Swap operator acting on two copies of the system. An improved estimator involving the ratio of Swap operators for different subregions enables convergence of the entropy in a simulation time polynomial in the system size. We demonstrate convergence of the Renyi entropy to exact results for a Heisenberg chain. Finally, we calculate the scaling of the Renyi entropy in the two-dimensional Heisenberg model and confirm that the Néel ground state obeys the expected area law for systems up to linear size L=32.
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Cites
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Entanglement entropy and quantum field theory
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Topological Entanglement Entropy
Kitaev, A., & Preskill, J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110404 · Cited by 2,430
Detecting Topological Order in a Ground State Wave Function
Levin, M., & Wen, X.-G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110405 · Cited by 2,068
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Topological Entanglement Rényi Entropy and Reduced Density Matrix Structure
Flammia, S. T., Hamma, A., Hughes, T. L., & Wen, X.-G. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.261601 · Cited by 248
Computer Simulation Studies in Condensed Matter Physics
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Universal terms for the entanglement entropy in 2+1 dimensions
Casini, H., & Huerta, M. (2007) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2006.12.012 · Cited by 212
Entanglement entropy in theO(N)model
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Cited by
Neural-network quantum state tomography
Torlai, G., Mazzola, G., Carrasquilla, J., Troyer, M., Melko, R., & Carleo, G. (2018) · Nature Physics · doi:10.1038/s41567-018-0048-5 · Cited by 843
Self-citationQuantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Entanglement in a fermion chain under continuous monitoring
Cao, X., Tilloy, A., & De Luca, A. (2019) · SciPost Physics · doi:10.21468/scipostphys.7.2.024 · Cited by 320
Recurrent neural network wave functions
Hibat-Allah, M., Ganahl, M., Hayward, L. E., Melko, R. G., & Carrasquilla, J. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023358 · Cited by 274
Self-citationInformation Perspective to Probabilistic Modeling: Boltzmann Machines versus Born Machines
Cheng, S., Chen, J., & Wang, L. (2018) · Entropy · doi:10.3390/e20080583 · Cited by 104
Metadata
- Authors
- Hastings, M. B., González, I., Kallin, A. B., & Melko, R. G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-04-14
- Volume
- 104
- Issue
- 15
- Pages
- 157201-157201
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1888321505
- Cited by
- 427
- References
- 15
- FWCI
- 13.79
- Type
- journal article
- Language
- en
- Open access
- green
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