Absolute Destruction of Nonlocal Resources
Tamal Guha, Bihalan Bhattacharya, Debarshi Das, Some Sankar Bhattacharya, Amit Mukherjee, Arup Roy, Kaushiki Mukherjee, Nirman Ganguly, A. S. Majumdar
Abstract
Nonlocal quantum states have significant applications as resources in various quantum informational tasks. Environmental interactions may transform a nonlocal state into a local one with or without steerability. This transformed state may again retrieve its steerability or nonlocality under global unitary interaction. However, in certain cases the nonlocal resource is \textit{absolutely} destroyed, i.e., the transformed state \textit{cannot} repossess its steerability or Bell-nonlocality under arbitrary global unitary action. In the present study, modelling environmental interactions through four particular quantum channels, we investigate how the usefulness of a two qubit nonlocal state as resource can be \textit{absolutely} destroyed. Here the Bell-locality and unsteerability of the transformed two qubit state are studied with respect to a particular local realist inequality and a particular steering inequality, respectively.