Symmetries of Multipartite Entanglement Evolution in Many-Sided Local Channels
arXiv:1402.0624 · doi:10.1016/j.physleta.2016.04.014
Abstract
Symmetries of the initial state of a quantum system and the quantum channels, which simultaneously affect parts of the system, can significantly simplify the description of the entanglement evolution. Using concurrence as the entanglement measure, we study the entanglement evolution of few qubit systems, when each of the qubits is affected by a local channel independently of the others. We show that, for low-rank density matrices of the final quantum state, such complex entanglement dynamics can be completely described by a combination of independent factors representing the evolution of entanglement of the initial state, when just one of the qubits is affected by a local channel.
6 pages, 1 figure, 30 references
References in corpus (16)
- The Quantum Internet
- Entanglement detection
- Quantum Open System Theory: Bipartite Aspects
- Scaling laws for the decay of multiqubit entanglement
- A Factorization Law for Entanglement Decay
- Concurrence and a proper monogamy inequality for arbitrary quantum states
- Evolution equation of entanglement for general bipartite systems
- A lower bound of concurrence for multipartite quantum states
- Evolution and Symmetry of Multipartite Entanglement
- Entanglement evolution in finite dimensions
- Entanglement dynamics of three-qubit states in noisy channels
- Defeating entanglement sudden death by a single local filtering
- Evolution of entanglement for quantum mixed states
- Evolution equation of entanglement for multi-qubit systems
- Multipartite Entanglement Evolution Under Separable Operations
- Equation of motion for multiqubit entanglement in multiple independent noisy channels