Multipartite Entanglement Evolution Under Separable Operations

Abstract

We study how multi-partite entanglement evolves under the paradigm of separable operations, which include the local operations and classical communication (LOCC) as a special case. We prove that the average "decay" of entanglement induced by a separable operation is measure independent (among SL-invariant ones) and state independent: the ratio between the average output entanglement and the initial entanglement is solely a function of the separable operation, regardless of the input state and of the SL-invariant entanglement measure being used. We discuss the "disentangling power" of a quantum channel and show that it exhibits a similar state invariance as the average entanglement decay ratio. Our Rapid Communication significantly extends the bipartite results of Ref. [1-3] as well as the multi-partite one of Ref. [4], all of the previous work being restricted to one-sided or particular noise models.

Replaced by the published version, comments are welcome!

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Cited by in corpus (12)

• Open-System Dynamics of Entanglement
• Classification of multipartite entanglement in all dimensions
• Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics
• Parametrization and optimization of Gaussian non-Markovian unravelings for open quantum dynamics
• Separable and Inseparable Quantum Trajectories
• Average entanglement dynamics in open two-qubit systems with continuous monitoring
• Classical evolution in quantum systems
• Entanglement-assisted quantum speedup: Beating local quantum speed limits
• Truncated moment sequences and a solution to the channel separability problem
• Separability Lindblad equation for dynamical open-system entanglement
• Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics
• Symmetries of Multipartite Entanglement Evolution in Many-Sided Local Channels