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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Short description|Set of states used to represent a quantum system}}&lt;br /&gt;
&lt;br /&gt;
{{Quantum methods backlink|Mathematical methods}}&lt;br /&gt;
&lt;br /&gt;
A &amp;#039;&amp;#039;&amp;#039;basis&amp;#039;&amp;#039;&amp;#039; is a set of states used to represent a quantum system.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div style=&amp;quot;float:right; border:1px solid #e0d890; background:#fff8cc; padding:6px; margin:0 0 1em 1em; width:320px;&amp;quot;&amp;gt;&lt;br /&gt;
[[File:Basis_vectors.png|300px]]&lt;br /&gt;
&amp;lt;div style=&amp;quot;font-size:90%;&amp;quot;&amp;gt;A basis provides a framework for representing quantum states.&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
Any quantum state can be expressed as a combination of basis states. Choosing an appropriate basis simplifies calculations and interpretation.&lt;br /&gt;
&lt;br /&gt;
== Properties ==&lt;br /&gt;
&lt;br /&gt;
* set of states&lt;br /&gt;
* allows representation of systems&lt;br /&gt;
* linked to [[Physics:Quantum methods/transformation|transformations]]&lt;br /&gt;
&lt;br /&gt;
=See also=&lt;br /&gt;
{{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}}&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
{{reflist|3}}&lt;br /&gt;
&lt;br /&gt;
{{Author|Harold Foppele}}&lt;br /&gt;
{{Sourceattribution|Physics:Quantum methods/basis|1}}&lt;/div&gt;</summary>
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