Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 26th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexthis is a bare list of references which used to be (and still is) at *[[entanglement entropy]]*. But since the same references are now also needed at *[[long-range entanglement]]*, I am putting them in a separate page here, to be `!include`-ed into both these entries <a href="https://ncatlab.org/nlab/revision/topological+entanglement+entropy+--+references/1">v1</a>, <a href="https://ncatlab.org/nlab/show/topological+entanglement+entropy+--+references">current</a>

   this is a bare list of references which used to be (and still is) at entanglement entropy. But since the same references are now also needed at long-range entanglement, I am putting them in a separate page here, to be !include-ed into both these entries

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 26th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Tarun Grover]], *Entanglement entropy and strongly correlated topological matter*, Modern Physics Letters A **28** 05 (2013) 1330001 $[$[doi:10.1142/S0217732313300012](https://doi.org/10.1142/S0217732313300012)$]$ <a href="https://ncatlab.org/nlab/revision/diff/topological+entanglement+entropy+--+references/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+entanglement+entropy+--+references/2">v2</a>, <a href="https://ncatlab.org/nlab/show/topological+entanglement+entropy+--+references">current</a>

   added pointer to:

   • Tarun Grover, Entanglement entropy and strongly correlated topological matter, Modern Physics Letters A 28 05 (2013) 1330001 $[$doi:10.1142/S0217732313300012$]$

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 27th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these pointers: Detection of long-range entanglement entropy in quantum simulations on [[quantum computers]]: * *Realizing topologically ordered states on a quantum processor*, Science **374** 6572 (2021) 1237-1241 $[$[doi:10.1126/science.abi8378](https://doi.org/10.1126/science.abi8378)$]$ * *Probing topological spin liquids on a programmable quantum simulator*, Science **374** 6572 (2021) 1242-1247 $[$[doi:10.1126/science.abi8794](https://doi.org/10.1126/science.abi8794)$]$ exposition in: * Isabelle Dumé, *[Long-range quantum entanglement measured at last](https://physicsworld.com/a/long-range-quantum-entanglement-measured-at-last/)*, PhysicsWorld (Jan 2022) <a href="https://ncatlab.org/nlab/revision/diff/topological+entanglement+entropy+--+references/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+entanglement+entropy+--+references/5">v5</a>, <a href="https://ncatlab.org/nlab/show/topological+entanglement+entropy+--+references">current</a>

   added these pointers:

   Detection of long-range entanglement entropy in quantum simulations on quantum computers:

   • Realizing topologically ordered states on a quantum processor, Science 374 6572 (2021) 1237-1241 $[$doi:10.1126/science.abi8378$]$

   • Probing topological spin liquids on a programmable quantum simulator, Science 374 6572 (2021) 1242-1247 $[$doi:10.1126/science.abi8794$]$

   exposition in:

   • Isabelle Dumé, Long-range quantum entanglement measured at last, PhysicsWorld (Jan 2022)

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeDec 14th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Aditya Dwivedi, Siddharth Dwivedi, Bhabani Prasad Mandal, Pichai Ramadevi, [[Vivek Kumar Singh]], *Topological entanglement and hyperbolic volume*, J. High Energy Phys. **21021** 172 (2021) 172 &lbrack;[arXiv:2106.03396](https://arxiv.org/abs/2106.03396), <a href="https://doi.org/10.1007/JHEP10(2021)172">doi:10.1007/JHEP10(2021)172</a>&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/topological+entanglement+entropy+--+references/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+entanglement+entropy+--+references/8">v8</a>, <a href="https://ncatlab.org/nlab/show/topological+entanglement+entropy+--+references">current</a>

   added pointer to:

   • Aditya Dwivedi, Siddharth Dwivedi, Bhabani Prasad Mandal, Pichai Ramadevi, Vivek Kumar Singh, Topological entanglement and hyperbolic volume, J. High Energy Phys. 21021 172 (2021) 172 [arXiv:2106.03396, doi:10.1007/JHEP10(2021)172]

   diff, v8, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMar 11th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded these pointers: * [[Yi Zhang]], [[Tarun Grover]], Ari Turner, Masaki Oshikawa, [[Ashvin Vishwanath]], *Quasiparticle statistics and braiding from ground-state entanglement*, Phys. Rev. B **85** (2012) 235151 $[$[doi:10.1103/PhysRevB.85.235151](https://doi.org/10.1103/PhysRevB.85.235151)$]$ * [[Yi Zhang]], [[Tarun Grover]], [[Ashvin Vishwanath]], *General procedure for determining braiding and statistics of anyons using entanglement interferometry*, Phys. Rev. B **91** (2015) 035127 $[$[arXiv:1412.0677](https://arxiv.org/abs/1412.0677), [doi:10.1103/PhysRevB.91.035127](https://doi.org/10.1103/PhysRevB.91.035127)$]$ * [[Zhuan Li]], [[Roger S. K. Mong]], *Detecting topological order from modular transformations of ground states on the torus*, Phys. Rev. B **106** (2022) 235115 &lbrack;[doi:10.1103/PhysRevB.106.235115](https://doi.org/10.1103/PhysRevB.106.235115), [arXiv:2203.04329](https://arxiv.org/abs/2203.04329)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/topological+entanglement+entropy+--+references/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+entanglement+entropy+--+references/9">v9</a>, <a href="https://ncatlab.org/nlab/show/topological+entanglement+entropy+--+references">current</a>

   added these pointers:

   • Yi Zhang, Tarun Grover, Ari Turner, Masaki Oshikawa, Ashvin Vishwanath, Quasiparticle statistics and braiding from ground-state entanglement, Phys. Rev. B 85 (2012) 235151 $[$doi:10.1103/PhysRevB.85.235151$]$

   • Yi Zhang, Tarun Grover, Ashvin Vishwanath, General procedure for determining braiding and statistics of anyons using entanglement interferometry, Phys. Rev. B 91 (2015) 035127 $[$arXiv:1412.0677, doi:10.1103/PhysRevB.91.035127$]$

   • Zhuan Li, Roger S. K. Mong, Detecting topological order from modular transformations of ground states on the torus, Phys. Rev. B 106 (2022) 235115 [doi:10.1103/PhysRevB.106.235115, arXiv:2203.04329]

   diff, v9, current

6. • CommentRowNumber6.
   • CommentAuthornLab edit announcer
   • CommentTimeFeb 29th 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * Hee-Joong Chung, Dohyeong Kim, [[Minhyong Kim]], Jeehoon Park, Hwajong Yoo, *Entanglement entropies in the abelian arithmetic Chern-Simons theory* &lbrack;[2312.17138](https://arxiv.org/abs/2312.17138)&rbrack; Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/topological+entanglement+entropy+--+references/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/topological+entanglement+entropy+--+references/10">v10</a>, <a href="https://ncatlab.org/nlab/show/topological+entanglement+entropy+--+references">current</a>

   Adding reference

   • Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo, Entanglement entropies in the abelian arithmetic Chern-Simons theory [2312.17138]

   Anonymouse

   diff, v10, current