Analysis of Negativity and Relative Entropy of Entanglement measures for qubit-qutrit Quantum Communication systems;

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Date

2015

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Institute of Electrical and Electronics Engineers Inc.

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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 really 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) [1-5] for qubit-qutrit quantum systems. In this manner, for randomly generated 1000 qubit-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, very interesting results are reported. © 2015 IEEE.

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Keywords

Concurrence, Entanglement, Negativity, Qubit, Qutrit, Relative entropy of entanglement

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2

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2015 23rd Signal Processing and Communications Applications Conference, SIU 2015 - Proceedings -- 2015 23rd Signal Processing and Communications Applications Conference, SIU 2015 -- 16 May 2015 through 19 May 2015 -- Malatya -- 113052

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116

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119