Quantum correlations responsible for remote state creation: strong and weak control parameters

TL;DR

This paper investigates how quantum correlations, especially informational correlation, enable remote state creation in spin chains, even when entanglement is absent, highlighting the roles of control parameters and initial state eigenvalues.

Contribution

It demonstrates that informational correlation can facilitate remote state creation independently of entanglement, emphasizing the influence of control parameters and initial state eigenvalues.

Findings

Informational correlation persists without entanglement during evolution.

Eigenvalues of initial states play a privileged role in correlation dynamics.

A 40-node spin chain model illustrates the concepts.

Abstract

We study the quantum correlations between the two remote qubits (sender and receiver) connected by the transmission line (homogeneous spin-1/2 chain) depending on the parameters of the sender's and receiver's initial states (control parameters). We consider two different measures of quantum correlations: the entanglement (a traditional measure) and the informational correlation (based on the parameter exchange between the sender and receiver). We find the domain in the control parameter space yielding (i) zero entanglement between the sender and receiver during the whole evolution period and (ii) non-vanishing informational correlation between the sender and receiver, thus showing that the informational correlation is responsible for the remote state creation. Among the control parameters, there are the strong parameters (which strongly effect the values of studied measures) and the weak ones (whose effect is negligible), therewith the eigenvalues of the initial state are given a privileged role. We also show that the problem of small entanglement (concurrence) in quantum information processing is similar (in certain sense) to the problem of small determinants in linear algebra. A particular model of 40-node spin-1/2 communication line is presented.