The ZX-calculus as a language for topological quantum computation
DOI10.1088/1751-8121/acef7earXiv2211.03855OpenAlexW4385755413MaRDI QIDQ6053761
Aleks Kissinger, Unnamed Author
Publication date: 23 October 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.03855
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Quantum computation (81P68) Braid groups; Artin groups (20F36) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Yang-Baxter equations (16T25) Quantum gates (81P65) Anyons (81V27) Computational aspects of digital topology (68U03)
Cites Work
- Anyons in an exactly solved model and beyond
- Braid matrices and quantum gates for Ising anyons topological quantum computation
- The geometry of tensor calculus. I
- A modular functor which is universal for quantum computation
- On fusion categories.
- Interacting quantum observables: categorical algebra and diagrammatics
- Basic Category Theory
- Braid Groups
- The search for leakage-free entangling Fibonacci braiding gates
- Quantum invariants of knots and 3-manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The ZX-calculus as a language for topological quantum computation
