Toy model of boundary states with spurious topological entanglement entropy
Kohtaro Kato, Fernando G. S. L. Brandão
Abstract
This paper studies the mechanism behind the corrections to topological entanglement entropy in the trivial topologically ordered systems. The authors show that the existence of the spurious correction is connected to the existence of non-trivial phases at the boundary when the gapped ground state is given by a stabilizer state.
Topics & Concepts
Spurious relationshipQuantum entanglementTopological entropy in physicsEntropy (arrow of time)Boundary (topology)PhysicsJoint quantum entropyMathematicsBoundary value problemGround stateTopology (electrical circuits)Statistical physicsTheoretical physicsState (computer science)Quantum relative entropyTopological entropyQuantum discordQuantum mechanicsTopological quantum numberTopological data analysisQuantum many-body systemsTopological Materials and PhenomenaQuantum and electron transport phenomena