On quantum computation and quantum error correction (and stating the Solovay-Kitaev theorem):
On quantum circuits with mixed quantum states/density matrices:
On quantum error correcting codes associated with planar bulk/boundary systems (precursor to holographic tensor networks):
On computation in general and quantum computation in particular:
Introducing the idea of topological quantum computation with anyons:
Alexei Kitaev, Fault-tolerant quantum computation by anyons, Annals Phys. 303 (2003) 2-30 (arXiv:quant-ph/9707021, doi:10.1016/S0003-4916(02)00018-0)
Michael Freedman, Alexei Kitaev, Michael Larsen, Zhenghan Wang, Topological quantum computation, Bull. Amer. Math. Soc. 40 (2003), 31-38 (arXiv:quant-ph/0101025, doi:10.1090/S0273-0979-02-00964-3, pdf)
Introducing a model with Majorana zero modes in quantum wires (Kitaev spin chain):
and its interacting generalization:
Comprehensive discussion of anyons:
On entanglement entropy as an indicator of topological phases of matter:
On potential experiments detecting uncertainty of fluxes in quantum electromagnetism:
On the classification of gapped Hamiltonians/topological insulators by topological K-theory:
Introducing the notion of short-range entanglement in quantum materials:
Alexei Kitaev, Toward Topological Classification of Phases with Short-range Entanglement, talk at KITP (2011) video
Alexei Kitaev, On the Classification of Short-Range Entangled States, talk at Simons Center (2013) [video]
Discussion of the Levin-Wen model as an extended 3d TQFT formulated using tensor categories:
Last revised on May 19, 2025 at 17:19:18. See the history of this page for a list of all contributions to it.