Preprint Article Version 1 This version is not peer-reviewed

Analysis of Negativity and Relative Entropy of Entanglement Measures for Two Qutrit Quantum Communication Systems

Version 1 : Received: 28 March 2017 / Approved: 30 March 2017 / Online: 30 March 2017 (11:47:17 CEST)

How to cite: Erol, V. Analysis of Negativity and Relative Entropy of Entanglement Measures for Two Qutrit Quantum Communication Systems. Preprints 2017, 2017030217 (doi: 10.20944/preprints201703.0217.v1). Erol, V. Analysis of Negativity and Relative Entropy of Entanglement Measures for Two Qutrit Quantum Communication Systems. Preprints 2017, 2017030217 (doi: 10.20944/preprints201703.0217.v1).

Abstract

Quantum Computers are provisioned as very high performance computers using quantum mechanical aspects for information processing. Quantum Information Theory and Quantum Computing topics are popular topics in academia aiming the construction of theoretical background of Quantum Computers. The information processing units for Quantum Computers are defined as qubits but for some problems three level (trinary) systems may be applied as well. We call these three level systems as qutrits. The scope of this work is the analysis of well-defined entanglement measures Negativity and Relative Entropy of Entanglement (REE) for two qutrit (3- level/trinary) quantum systems. In this manner, for randomly generated 1000 two qutrit and 1000 two qubit states the mentioned measures are calculated and these values are compared. These comparisons are analyzed and for quantum state ordering problem, some interesting results are reported.

Subject Areas

entanglement; qubit; qutrit; concurrence; negativity; relative entropy of entanglement

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