Schr\"odinger's pure-state steering completed

TL;DR

This paper completes the extension of Schrödinger's pure-state steering theory to infinite-dimensional spaces, providing a detailed analysis of the fine structure of quantum state steering in entangled systems.

Contribution

It extends Schrödinger's original finite-dimensional steering theory to infinite-dimensional spaces and elucidates the detailed structure of quantum state steering.

Findings

Steering can reach any distant-particle state vector in finite dimensions.

Extension to infinite dimensions reveals detailed structure of steering.

Provides a comprehensive understanding of entanglement-induced state changes.

Abstract

Schroedinger investigated entanglement in two-particle state vectors by assuming measurement finding out if the nearby particle is in a given state vector or not. Without interaction with the distant particle, just on account of the entanglement, the distant particle is steered into a certain state vector. In Schroedinger's finite-dimensional case thus any distant-particle state vector can be reached. This theory was extended to infinite-dimensional spaces by the author. The present article completes the extension by throwing light on the fine structure of steering.