Bounds on the breaking time for entanglement-breaking channels
arXiv:2209.08689 · doi:10.1103/PhysRevA.107.022430
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 (23)
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement detection
- The maximum speed of dynamical evolution
- Bell Inequalities and the Separability Criterion
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- General Entanglement Breaking Channels
- Quantum speed limit for physical processes
- Quantum speed limits in open system dynamics
- Entanglement-assisted local manipulation of pure quantum states
- Non-Markovian quantum processes: complete framework and efficient characterisation
- Quantum Speed Limits Across the Quantum-to-Classical Transition
- Quantum Speed Limit is Not Quantum
- Tightening Quantum Speed Limits for Almost All States
- Qubit Entanglement Breaking Channels
- Tight, robust, and feasible quantum speed limits for open dynamics
- Action quantum speed limits
- Probing Quantum Speed Limits with Ultracold Gases
- Resource speed limits: Maximal rate of resource variation
- Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
- Elementary proof of the bound on the speed of quantum evolution
- 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