Bounds on the breaking time for entanglement-breaking channels

Abstract

Entanglement-breaking channels are quantum channels transforming entangled states to separable states. Despite a detailed discussion of their operational structure, to be found in the literature, studies on dynamical characteristics of this type of maps are yet limited. We consider one of the basic questions: for Lindblad-type dynamics, when does a given channel break entanglement? We discuss the finite-dimensional case where the quantification of entanglement via entanglement witnesses is utilized. For the general setup, we use the method of quantum speed limit to derive lower bounds on entanglement breaking times in terms of an input state, the dynamical map and the witness operator. Then, with a particular choice of the input state and the entanglement witness, the bounds for the breaking time are turned to solely reflect the characteristics of the dynamics.

References in corpus (7)

• Entanglement detection
• Quantum speed limit for physical processes
• Quantum speed limits in open system dynamics
• Action quantum speed limits
• On the universal constraints for relaxation rates for quantum dynamical semigroup
• Quantum speed limit helps interpret geometric measure of entanglement
• Almost complete solution for the NP-hard separability problem of Bell diagonal qutrits

Cited by in corpus (4)

• Quantum Speed Limit in Terms of Coherence Variations
• Fundamental speed limits on entanglement dynamics of bipartite quantum systems
• Special features of the Weyl-Heisenberg Bell basis imply unusual entanglement structure of Bell-diagonal states
• Quantum Error Channels in High Energetic Photonic Systems