Measures of entanglement in non-Abelian anyonic systems
arXiv:1310.0373 · doi:10.1103/PhysRevB.89.035105
Abstract
Bipartite entanglement entropies, calculated from the reduced density matrix of a subsystem, provide a description of the resources available within a system for performing quantum information processing. However, these quantities are not uniquely defined on a system of non-Abelian anyons. This paper describes how reduced density matrices and bipartite entanglement entropies (such as the von Neumann and Renyi entropies) may be constructed for non-Abelian anyonic systems, in ways which reduce to the conventional definitions for systems with only local degrees of freedom.
9 pages, 7 figures, RevTeX 4.1. Changed title to match published version
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- Simulation of braiding anyons using Matrix Product States
- Jones index, secret sharing and total quantum dimension
- Quantum teleportation using Ising anyons
- Reaction-diffusion dynamics in a Fibonacci chain: Interplay between classical and quantum behavior
- Studies of braided non-Abelian anyons using anyonic tensor networks
- Superactivation of Bell nonlocality in pure anyonic states
- Quantum Resource Theories of Anyonic Entanglement