Thermal state entanglement entropy on a quantum graph
arXiv:1909.00449 · doi:10.1103/PhysRevE.100.062137
Abstract
A particle jumps between the nodes of a graph interacting with local spins. We show that the entanglement entropy of the particle with the spin network is related to the length of the minimum cycle basis. The structure of the thermal state is reminiscent to the string-net of spin liquids.
arXiv comment7 pages, 4 figures
References in corpus (38)
- Quantum entanglement
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Simulation
- Topological entanglement entropy
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Detecting topological order in a ground state wave function
- Persistent entanglement in arrays of interacting particles
- Measurement-based quantum computation with cluster states
- Average Entropy of a Subsystem
- String-net condensation: A physical mechanism for topological phases
- Quantum random walks - an introductory overview
- Quantum Error Correction for Quantum Memories
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Zoo of quantum-topological phases of matter
- Quantum entanglement in condensed matter systems
- Identifying Topological Order by Entanglement Entropy
- Probing entanglement in a many-body-localized system
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Graph States for Quantum Secret Sharing
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Alternatives to Eigenstate Thermalization
- Ergodic dynamics and thermalization in an isolated quantum system
- Bipartite entanglement and entropic boundary law in lattice spin systems
- Complex Networks from Classical to Quantum
- Distribution of entanglement in large-scale quantum networks
- Entanglement Across a Transition to Quantum Chaos
- Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
- Quantum Walks
- Thermalization of entanglement
- Bipartite quantum states and random complex networks
- Encoding graphs into quantum states: an axiomatic approach
- Joint Entanglement of Topology and Polarization Enables Error-Protected Quantum Registers
- Interacting quantum walk on a graph