Introduction to Topological Quantum Computation
From MaRDI portal
Publication:2886990
DOI10.1017/CBO9780511792908zbMath1247.81003OpenAlexW110583329MaRDI QIDQ2886990
Publication date: 15 May 2012
Full work available at URL: https://doi.org/10.1017/cbo9780511792908
quantum computationtopological entropyTemperley-Lieb algebrabraid groupMajorana fermionanyongeometrical phase
Quantum computation (81P68) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Quantum algorithms and complexity in the theory of computing (68Q12)
Related Items (41)
Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping ⋮ Quantum statistics and spacetime surgery ⋮ Ternary logic design in topological quantum computing ⋮ Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions ⋮ Hamming Distance Kernelisation via Topological Quantum Computation ⋮ On the Majorana fermion subject to a linear confinement ⋮ Topological quantum computation on supersymmetric spin chains ⋮ Quantum kinetic theory of flux-carrying Brownian particles ⋮ Exact solution of the topological symplectic Kondo problem ⋮ Fano‐Majorana Effect and Bound States in the Continuum on a Crossbar‐Shaped Quantum Dot Hybrid Structure ⋮ The RT formula and its discontents: spacetime and entanglement ⋮ Quasi-free states on a class of algebras of multicomponent commutation relations ⋮ Non-locality in intrinsic topologically ordered systems ⋮ Two approaches to fractional statistics in the quantum Hall effect: idealizations and the curious case of the anyon ⋮ A lattice model for condensation in Levin-Wen systems ⋮ Modified toric code models with flux attachment from Hopf algebra gauge theory ⋮ A pedagogical overview on 2D and 3D Toric Codes and the origin of their topological orders ⋮ Quantum double models coupled to matter fields: A detailed review for a dualization procedure ⋮ Announcing the JMO Series on Quantum Memories ⋮ Holographic correspondence in topological superconductors ⋮ Subfactors from graphs induced by association schemes ⋮ A short survey of quantum computing ⋮ Statistical physics of flux-carrying Brownian particles ⋮ Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry ⋮ Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations ⋮ Lifetime of topological quantum memories in thermal environment ⋮ Detecting topological entanglement entropy in a lattice of quantum harmonic oscillators ⋮ Majorana anyons, non-Abelian statistics and quantum computation in Chern–Simons–Higgs theory ⋮ Chern–Simons theory encoded on a spin chain ⋮ Braiding flux-tubes in topological quantum and classical lattice models from class-D ⋮ Novel quantum phases on graphs using abelian gauge theory ⋮ TOPOLOGICAL EFFECTIVE FIELD THEORIES FOR DIRAC FERMIONS FROM INDEX THEOREM ⋮ Vortex loops and Majoranas ⋮ Quantum Fourier transforms and the complexity of link invariants for quantum doubles of finite groups ⋮ Quantum computation and real multiplication ⋮ Mathematics of topological quantum computing ⋮ Infinitesimal idealization, easy road nominalism, and fractional quantum statistics ⋮ Quantum statistics and spacetime topology: quantum surgery formulas ⋮ Non-abelian fusion rules from abelian systems with SPT phases and graph topological order ⋮ Universal quantum computing and three-manifolds ⋮ Prime number factorization using a spinor Bose-Einstein condensate-inspired topological quantum computer
This page was built for publication: Introduction to Topological Quantum Computation