<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1405-5546</journal-id>
<journal-title><![CDATA[Computación y Sistemas]]></journal-title>
<abbrev-journal-title><![CDATA[Comp. y Sist.]]></abbrev-journal-title>
<issn>1405-5546</issn>
<publisher>
<publisher-name><![CDATA[Instituto Politécnico Nacional, Centro de Investigación en Computación]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-55462019000200469</article-id>
<article-id pub-id-type="doi">10.13053/cys-23-2-2309</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Time Evolution of the 3-Tangle of a System of 3-Qubit Interacting through a XY Hamiltonian]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ávila Aoki]]></surname>
<given-names><![CDATA[Manuel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Honorato]]></surname>
<given-names><![CDATA[Carlos Gerardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández Vázquez]]></surname>
<given-names><![CDATA[Jose Eladio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma del Estado de México  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>23</volume>
<numero>2</numero>
<fpage>469</fpage>
<lpage>476</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-55462019000200469&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-55462019000200469&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-55462019000200469&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: We consider a pure 3-qubits system interacting through a XY-Hamiltonian with antiferromagnetic constant J. We employ the 3-tangle as an efficient measure of the entanglement between such a 3-qubit system. The time evolution of such a 3-tangle is studied. In order to do the above, the 3-tangle associated to the pure 3-qubit state  |   &#968;   t =     c  0   t | 000 +     c  1   t | 001 +     c  2   t | 010 +     c  3   t | 011 +     c  4   t | 100 +     c  5   t | 101 +     c  6   t | 110 +     c  7   t | 111 is calculated as a function of the initial coefficients      c  i   t = 0    i = 0,1 , &#8230; , 7, the time t and the antiferromagnetic constant J. We find that the 3-tangle of the 3-qubit system is periodic with period  t =   4 &#960; /  J. Furthermore, we also find that the 3-tangle as a function of the time t and J has maximal and minimum values. The maximal values of the 3-tangle can be employed in Quantum Information Protocols (QIP) that use entanglement as a basic resource. The pattern found for the 3-tangle of the system of three qubits interacting through a XY Hamiltonian as a function of J and the time t resembles to a quantized physical quantity.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[3-qubits]]></kwd>
<kwd lng="en"><![CDATA[non-classical communications]]></kwd>
<kwd lng="en"><![CDATA[quantum information processing]]></kwd>
<kwd lng="en"><![CDATA[entanglement]]></kwd>
</kwd-group>
</article-meta>
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