Purification and redistribution of entanglement via single local filtering

TL;DR

This paper explores how local filtering operations can purify and redistribute entanglement in quantum states, demonstrating their effects through examples and analyzing how filtering parameters influence entanglement transfer.

Contribution

It introduces a method for entanglement purification and redistribution using single local filtering, providing insights into how filtering affects entanglement in noisy quantum states.

Findings

Local filtering can purify entanglement in quantum states.

Filtering redistributes entanglement between subsystems.

The effect depends on initial state and filtering parameters.

Abstract

The effect of filtering operation with respect to purification and concentration of entanglement in quantum states are discussed in this paper. It is shown, through examples, that the local action of the filtering operator on a part of the composite quantum state allows for purification of the remaining part of the state. The redistribution of entanglement in the subsystems of a noise affected state is shown to be due to the action of local filtering on the non-decohering part of the system. The varying effects of the filtering parameter, on the entanglement transfer between the subsystems, depending on the choice of the initial quantum state is illustrated.