Entanglement flow in multipartite systems
arXiv:quant-ph/0404179 · doi:10.1103/PhysRevA.71.052308
Abstract
We investigate entanglement dynamics in multipartite systems, establishing a quantitative concept of entanglement flow: both flow through individual particles, and flow along general networks of interacting particles. In the former case, the rate at which a particle can transmit entanglement is shown to depend on that particle's entanglement with the rest of the system. In the latter, we derive a set of entanglement rate equations, relating the rate of entanglement generation between two subsets of particles to the entanglement already present further back along the network. We use the rate equations to derive a lower bound on entanglement generation in qubit chains, and compare this to existing entanglement creation protocols.
13 pages, 5 figures, REVTeX format. Proof of lemma 3 corrected. Restructured and expanded
References in corpus (1)
Cited by in corpus (22)
- Sudden Death of Entanglement
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
- Multipartite entanglement in spin chains
- Quantum Speed Limit for Perfect State Transfer in One Dimension
- Supersonic quantum communication
- Robust multipartite entanglement generation via a collision model
- Entanglement as geometry and flow
- Engineering correlation and entanglement dynamics in spin systems
- Dynamics of Entanglement Transfer Through Multipartite Dissipative Systems
- Estimating localizable entanglement from witnesses
- Scalable characterization of localizable entanglement in noisy topological quantum codes
- Dynamics of Atom-Atom Correlations in the Fermi problem
- Speed of disentanglement in multi-qubit systems under depolarizing channel
- Entanglement evolution of a two-qubit system with decay beyond rotating-wave approximation
- Entanglement and coherence in a spin-s XXZ system under non-uniform fields
- Quantum-capacity bounds in spin-network communication channels
- Entanglement quantifiers and phase transitions
- Correlation transfer in large-spin chains
- Ab-Initio Approach to Many-Body Quantum Spin Dynamics
- Quantum Routing and Entanglement Dynamics Through Bottlenecks
- Emergent geometry from entanglement structure