Remote extraction and destruction of spread qubit information

TL;DR

This paper establishes the precise conditions under which qubit information can be remotely extracted or destroyed using only local operations and classical communication, revealing asymmetries in information distribution.

Contribution

It provides necessary and sufficient conditions for deterministic remote extraction and destruction of qubit information in bipartite states using LOCC, highlighting asymmetries.

Findings

Remote extraction is possible at one party but not the other under LOCC.

Remote destruction can be asymmetric and incompatible with extraction conditions.

Conditions for remote extraction and destruction are explicitly characterized.

Abstract

Necessary and sufficient conditions for deterministic remote extraction and destruction of qubit information encoded in bipartite states using only local operations and classical communications (LOCC) are presented. The conditions indicate that there is a way to asymmetrically spread qubit information between two parties such that it can be remotely extracted with unit probability at one of the parties but not at the other as long as they are using LOCC. Remote destruction can also be asymmetric between the two parties, but the conditions are incompatible with those for remote extraction.