Generalized Interaction-Free Evolutions

TL;DR

This paper explores the relationship between interaction-free evolutions and decoherence-free subspaces, introduces the concept of generalized IFE, and provides a framework for identifying such states in bipartite quantum systems.

Contribution

It establishes a connection between IFE and DFS, and introduces the novel concept of GIFE with a characterization scheme for finding GIFE states.

Findings

Analyzed the relationship between IFE and DFS.

Introduced the concept of generalized IFE (GIFE).

Provided a scheme to identify GIFE states.

Abstract

A thorough analysis of the evolutions of bipartite systems characterized by the \lq effective absence\rq\, of interaction between the two subsystems is reported. First, the connection between the concepts underlying Interaction-Free Evolutions (IFE) and Decoherence-Free Subspaces (DFS) is explored, showing intricate relations between these concepts. Second, starting from this analysis and inspired by a generalization of DFS already known in the literature, we introduce the notion of generalized IFE (GIFE), also providing a useful characterization that allows to develop a general scheme for finding GIFE states.