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Quantum Information Processing
Published in: Quantum Information Processing 3/2017

01-03-2017

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

Authors: S. I. Doronin, A. I. Zenchuk

Published in: Quantum Information Processing | Issue 3/2017

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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.
previous article Quantum correlations in a family of bipartite separable qubit states
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Appendix
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Metadata
Title
Quantum correlations responsible for remote state creation: strong and weak control parameters
Authors
S. I. Doronin
A. I. Zenchuk
Publication date
01-03-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1514-6

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